Refine
Year of publication
Document Type
- Preprint (666)
- Article (454)
- Conference Proceeding (8)
- Working Paper (8)
- Doctoral Thesis (3)
- Book (1)
- Part of a Book (1)
Has Fulltext
- yes (1141)
Is part of the Bibliography
- no (1141)
Keywords
- Heavy Ion Experiments (20)
- Hadron-Hadron Scattering (11)
- Hadron-Hadron scattering (experiments) (11)
- LHC (9)
- Deutschland (6)
- Heavy-ion collision (6)
- Corporate Governance (5)
- Interbankenabkommen (5)
- ALICE experiment (4)
- Collective Flow (4)
Institute
- Physik (1051)
- Frankfurt Institute for Advanced Studies (FIAS) (954)
- Informatik (920)
- Medizin (36)
- Geowissenschaften (14)
- Mathematik (13)
- Wirtschaftswissenschaften (8)
- Biochemie und Chemie (3)
- Biodiversität und Klima Forschungszentrum (BiK-F) (3)
- Informatik und Mathematik (3)
- Biochemie, Chemie und Pharmazie (2)
- Biowissenschaften (2)
- ELEMENTS (2)
- Extern (2)
- Hochschulrechenzentrum (2)
- Institut für Ökologie, Evolution und Diversität (2)
- Senckenbergische Naturforschende Gesellschaft (2)
- Georg-Speyer-Haus (1)
- Geowissenschaften / Geographie (1)
- Sonderforschungsbereiche / Forschungskollegs (1)
- Sportwissenschaften (1)
Ziele: Das Ziel dieser offiziellen Leitlinie, die von der Deutschen Gesellschaft für Gynäkologie und Geburtshilfe (DGGG) und der Deutschen Krebsgesellschaft (DKG) publiziert und koordiniert wurde, ist es, die Früherkennung, Diagnostik, Therapie und Nachsorge des Mammakarzinoms zu optimieren.
Methoden: Der Aktualisierungsprozess der S3-Leitlinie aus 2012 basierte zum einen auf der Adaptation identifizierter Quellleitlinien und zum anderen auf Evidenzübersichten, die nach Entwicklung von PICO-(Patients/Interventions/Control/Outcome-)Fragen, systematischer Recherche in Literaturdatenbanken sowie Selektion und Bewertung der gefundenen Literatur angefertigt wurden. In den interdisziplinären Arbeitsgruppen wurden auf dieser Grundlage Vorschläge für Empfehlungen und Statements erarbeitet, die im Rahmen von strukturierten Konsensusverfahren modifiziert und graduiert wurden.
Empfehlungen: Der Teil 1 dieser Kurzversion der Leitlinie zeigt Empfehlungen zur Früherkennung, Diagnostik und Nachsorge des Mammakarzinoms: Der Stellenwert des Mammografie-Screenings wird in der aktualisierten Leitlinienversion bestätigt und bildet damit die Grundlage der Früherkennung. Neben den konventionellen Methoden der Karzinomdiagnostik wird die Computertomografie (CT) zum Staging bei höherem Rückfallrisiko empfohlen. Die Nachsorgekonzepte beinhalten Untersuchungsintervalle für die körperliche Untersuchung, Ultraschall und Mammografie, während weiterführende Gerätediagnostik und Tumormarkerbestimmungen bei der metastasierten Erkrankung Anwendung finden.
Purpose: The aim of this official guideline coordinated and published by the German Society for Gynecology and Obstetrics (DGGG) and the German Cancer Society (DKG) was to optimize the screening, diagnosis, therapy and follow-up care of breast cancer.
Methods: The process of updating the S3 guideline dating from 2012 was based on the adaptation of identified source guidelines which were combined with reviews of evidence compiled using PICO (Patients/Interventions/Control/Outcome) questions and the results of a systematic search of literature databases and the selection and evaluation of the identified literature. The interdisciplinary working groups took the identified materials as their starting point to develop recommendations and statements which were modified and graded in a structured consensus procedure.
Recommendations: Part 1 of this short version of the guideline presents recommendations for the screening, diagnosis and follow-up care of breast cancer. The importance of mammography for screening is confirmed in this updated version of the guideline and forms the basis for all screening. In addition to the conventional methods used to diagnose breast cancer, computed tomography (CT) is recommended for staging in women with a higher risk of recurrence. The follow-up concept includes suggested intervals between physical, ultrasound and mammography examinations, additional high-tech diagnostic procedures, and the determination of tumor markers for the evaluation of metastatic disease.
Aims: We investigated N471D WASH complex subunit strumpellin (Washc5) knock-in and Washc5 knock-out mice as models for hereditary spastic paraplegia type 8 (SPG8). Methods: We generated heterozygous and homozygous N471D Washc5 knock-in mice and subjected them to a comprehensive clinical, morphological and laboratory parameter screen, and gait analyses. Brain tissue was used for proteomic analysis. Furthermore, we generated heterozygous Washc5 knock-out mice. WASH complex subunit strumpellin expression was determined by qPCR and immunoblotting. Results: Homozygous N471D Washc5 knock-in mice showed mild dilated cardiomyopathy, decreased acoustic startle reactivity, thinner eye lenses, increased alkaline phosphatase and potassium levels and increased white blood cell counts. Gait analyses revealed multiple aberrations indicative of locomotor instability. Similarly, the clinical chemistry, haematology and gait parameters of heterozygous mice also deviated from the values expected for healthy animals, albeit to a lesser extent. Proteomic analysis of brain tissue depicted consistent upregulation of BPTF and downregulation of KLHL11 in heterozygous and homozygous knock-in mice. WASHC5-related protein interaction partners and complexes showed no change in abundancies. Heterozygous Washc5 knock-out mice showing normal WASHC5 levels could not be bred to homozygosity. Conclusions: While biallelic ablation of Washc5 was prenatally lethal, expression of N471D mutated WASHC5 led to several mild clinical and laboratory parameter abnormalities, but not to a typical SPG8 phenotype. The consistent upregulation of BPTF and downregulation of KLHL11 suggest mechanistic links between the expression of N471D mutated WASHC5 and the roles of both proteins in neurodegeneration and protein quality control, respectively.
Knowledge about the biogeographic affinities of the world’s tropical forests helps to better understand regional differences in forest structure, diversity, composition, and dynamics. Such understanding will enable anticipation of region-specific responses to global environmental change. Modern phylogenies, in combination with broad coverage of species inventory data, now allow for global biogeographic analyses that take species evolutionary distance into account. Here we present a classification of the world’s tropical forests based on their phylogenetic similarity. We identify five principal floristic regions and their floristic relationships: (i) Indo-Pacific, (ii) Subtropical, (iii) African, (iv) American, and (v) Dry forests. Our results do not support the traditional neo- versus paleotropical forest division but instead separate the combined American and African forests from their Indo-Pacific counterparts. We also find indications for the existence of a global dry forest region, with representatives in America, Africa, Madagascar, and India. Additionally, a northern-hemisphere Subtropical forest region was identified with representatives in Asia and America, providing support for a link between Asian and American northern-hemisphere forests.
The nucleosynthesis of elements beyond iron is dominated by neutron captures in the s and r processes. However, 32 stable, proton-rich isotopes cannot be formed during those processes, because they are shielded from the s-process flow and r-process β-decay chains. These nuclei are attributed to the p and rp process.
For all those processes, current research in nuclear astrophysics addresses the need for more precise reaction data involving radioactive isotopes. Depending on the particular reaction, direct or inverse kinematics, forward or time-reversed direction are investigated to determine or at least to constrain the desired reaction cross sections.
The Facility for Antiproton and Ion Research (FAIR) will offer unique, unprecedented opportunities to investigate many of the important reactions. The high yield of radioactive isotopes, even far away from the valley of stability, allows the investigation of isotopes involved in processes as exotic as the r or rp processes.
A floristic description is presented of the study sites of the Research Training Group “The role of biodi-versity for biogeochemical cycles and biotic interactions in temperate deciduous forests”. To investi-gate different aspects of plant biodiversity in Hainich National Park (Thuringia), deciduous forest stands with low, medium and high canopy tree species diversity were compared. The results of species richness and forest communities show that the research sites are characterised by a typical central European forest flora. Greater vascular plant species richness occurs with higher diversity of tree species. Six of altogether twelve research sites are assigned to the beech forest alliance (Galioodorati-Fagion), the second half belongs to the oak-hornbeam forest alliance (Carpinionbetuli). Suballiances within the Galioodorati-Fagion in the study area include the Galio-Fagetum and the Hordelymo-Fagetum. All Carpinionbetuli relevées are assigned to the suballiance Stellario-Carpinetum.
Meeting Abstract : Deutscher Kongress für Orthopädie und Unfallchirurgie ; 73. Jahrestagung der Deutschen Gesellschaft für Unfallchirurgie ; 95. Tagung der Deutschen Gesellschaft für Orthopädie und Orthopädische Chirurgie ; 50. Tagung des Berufsverbandes der Fachärzte für Orthopädie und Unfallchirurgie ; 21. - 24.10.2009, Berlin Fragestellung: Ziel war die Evaluierung der funktionellen und radiologischen Ergebnisse nach osteosynthestischer Versorgung von Olecranonfrakturen mit einer zur Hakenplatte modifizierten Drittelrohrplatte. Methodik: In einem Zeitraum von 12 Monaten wurden 29 Patienten mit Olecranonfrakturen prospektiv erfasst und eine Osteosynthese mit einer zur Hakenplatte modifizierten Kleinfragment-Drittelrohrplatte durchgeführt. Eine additive Verschraubung von zusätzlichen Fragmenten erfolgte bei 6 Patienten (20%). Das mittlere Patientenalter zum Unfallzeitpunkt betrug 50 Jahre (Min 29/ Max 83). Unter Verwendung der Frakturklassifikation nach Schatzker stellte sich in 8 Fällen (28%) eine Querfraktur vom Typ A, in 6 Fällen (20%) eine Querfraktur mit Impaktion vom Typ B und in 15 Fällen (52%) eine Mehrfragmentfraktur vom Typ D dar. Bei 4 Patienten (14%) lag eine offene Fraktursituation vor. Nach im Mittel 7,2 Monaten (Min 6/ Max 8) wurde das funktionelle Outcome anhand des Mayo Elbow Performence Scores (MEPS), der visuellen Analogskala (VAS) und des Disabilities of the Arm, Shoulder and Hand Scores (DASH) bewertet sowie die radiologischen Befunde erhoben. Ergebnisse und Schlussfolgerungen: Das Ziel einer primär übungsstabilen Osteosynthese konnte bei allen Patienten erreicht werden. Unter Verwendung des MEPS wurden annähernd ausschließlich sehr gute (12 Fälle/41%) und gute (16 Fälle/55%) Ergebnisse erzielt. Lediglich bei einem Patienten ergab sich ein nur befriedigendes Ergebnis. Der mittlere Punktwert für den MEPS betrug 91,4 (Min 65/Max 100). In der VAS konnte ein Mittelwert von 8,2 Punkten (Min 7/Max 10) erzielt werden (0=keine Zufriedenheit, 10=volle Zufriedenheit). Der mittlere DASH-Wert betrug 16,2 Punkte (Min 0/Max 39). Der mittlere Bewegungsumfang betrug für Extension/Flexion bei einem durchschnittlichen Streckdefizit von 8° (Min 0°/Max 25°) und einer Beugung von 135° (Min 105°/Max 155°) 125° (Min 90°/Max 155°). Die Unterarmumwendbewegungen waren mit 175° (Min 165°/Max 180°) kaum eingeschränkt. Bei keinem Patienten gab es postoperative Komplikationen. Eine zur Hakenplatte modifizierte Drittelrohrplatte stellt im Gegensatz zu präformierten, winkelstabilen Implantaten eine kostengünstige Alternative zur Osteosynthese bei Olecranonfrakturen dar. Auch bei komplexen mehrfragmentären Frakturtypen und osteoporotischer Knochenqualität konnte so im nachuntersuchten Kollektiv eine sichere Frakturretention erzielt werden. Hinsichtlich des funktionellen Ergebnisses profitieren die Patienten von einer dadurch unmittelbar postoperativ möglichen, physiotherapeutischen Nachbehandlung. Das für die Hakenplatte benötigte Osteosynthesematerial (Kleinfragment-Drittelrohrplatte) ist nahezu überall verfügbar und lässt sich in kurzer Zeit der individuellen Anatomie und Frakturmorphologie anpassen. Eine Drahtmigration, wie bei der weit verbreiteten Zuggurtungsosteosynthese häufig beobachtet, ist ausgeschlossen.
Objective. A study supported by the EULAR and the ACR being conducted to establish classification criteria for polymyalgia rheumatica (PMR) will include ultrasound examination of the shoulders and hips. Ultrasound (US) depicts glenohumeral joint effusion, biceps tenosynovitis, subdeltoid bursitis, hip joint synovitis, and trochanteric bursitis in PMR. These findings may aid in distinguishing PMR from other diseases. The purpose of this study was to assess standards and US interreader agreement of participants in the PMR classification criteria study. Methods. Sixteen physicians in four groups examined shoulders and hips of 4 patients and 4 healthy adults with ultrasound. Overall agreement and interobserver agreement were calculated. Results. The overall agreement (OA) between groups was 87%. The OA for healthy shoulders was 88.8%, for healthy hips 100%, for shoulders with pathology 85.2%, and 74.3% for hips with pathology, respectively. Conclusion. There was a high degree of agreement found for the examination of healthy shoulders and pathologic hips. Agreement was moderate for pathologic shoulders and perfect for healthy hips. US of shoulder and hips performed by different examiners is a reliable and feasible tool for assessment of PMR related disease pathology and can be incorporated into a classification criteria study.
Introduction: Immune paralysis with massive T-cell apoptosis is a central pathogenic event during sepsis and correlates with septic patient mortality. Previous observations implied a crucial role of peroxisome proliferator-activated receptor gamma (PPARγ) during T-cell apoptosis.
Methods: To elucidate mechanisms of PPARγ-induced T-cell depletion, we used an endotoxin model as well as the caecal ligation and puncture sepsis model to imitate septic conditions in wild-type versus conditional PPARγ knockout (KO) mice.
Results: PPARγ KO mice showed a marked survival advantage compared with control mice. Their T cells were substantially protected against sepsis-induced death and showed a significantly higher expression of the pro-survival factor IL-2. Since PPARγ is described to repress nuclear factor of activated T cells (NFAT) transactivation and concomitant IL-2 expression, we propose inhibition of NFAT as the underlying mechanism allowing T-cell apoptosis. Corroborating our hypothesis, we observed up-regulation of the pro-apoptotic protein BIM and downregulation of the anti-apoptotic protein Bcl-2 in control mice, which are downstream effector proteins of IL-2 receptor signaling. Application of a neutralizing anti-IL-2 antibody reversed the pro-survival effect of PPARγ-deficient T cells and confirmed IL-2-dependent apoptosis during sepsis.
Conclusion: Apparently antagonizing PPARγ in T cells might improve their survival during sepsis, which concomitantly enhances defence mechanisms and possibly provokes an increased survival of septic patients.
Background: The interferon-inducible immunity-related GTPases (IRG proteins/p47 GTPases) are a distinctive family of GTPases that function as powerful cell-autonomous resistance factors. The IRG protein, Irga6 (IIGP1), participates in the disruption of the vacuolar membrane surrounding the intracellular parasite, Toxoplasma gondii, through which it communicates with its cellular hosts. Some aspects of the protein's behaviour have suggested a dynamin-like molecular mode of action, in that the energy released by GTP hydrolysis is transduced into mechanical work that results in deformation and ultimately rupture of the vacuolar membrane. Results: Irga6 forms GTP-dependent oligomers in vitro and thereby activates hydrolysis of the GTP substrate. In this study we define the catalytic G-domain interface by mutagenesis and present a structural model, of how GTP hydrolysis is activated in Irga6 complexes, based on the substrate-twinning reaction mechanism of the signal recognition particle (SRP) and its receptor (SRalpha). In conformity with this model, we show that the bound nucleotide is part of the catalytic interface and that the 3'hydroxyl of the GTP ribose bound to each subunit is essential for trans-activation of hydrolysis of the GTP bound to the other subunit. We show that both positive and negative regulatory interactions between IRG proteins occur via the catalytic interface. Furthermore, mutations that disrupt the catalytic interface also prevent Irga6 from accumulating on the parasitophorous vacuole membrane of T. gondii, showing that GTP-dependent Irga6 activation is an essential component of the resistance mechanism. Conclusions: The catalytic interface of Irga6 defined in the present experiments can probably be used as a paradigm for the nucleotide-dependent interactions of all members of the large family of IRG GTPases, both activating and regulatory. Understanding the activation mechanism of Irga6 will help to explain the mechanism by which IRG proteins exercise their resistance function. We find no support from sequence or G-domain structure for the idea that IRG proteins and the SRP GTPases have a common phylogenetic origin. It therefore seems probable, if surprising, that the substrate-assisted catalytic mechanism has been independently evolved in the two protein families.
Background: Circulating progenitor cells (CPC) contribute to the homeostasis of the vessel wall, and a reduced CPC count predicts cardiovascular morbidity and mortality. We tested the hypothesis that CPC count improves cardiovascular risk stratification and that this is modulated by low-grade inflammation. Methodology/Principal Findings: We pooled data from 4 longitudinal studies, including a total of 1,057 patients having CPC determined and major adverse cardiovascular events (MACE) collected. We recorded cardiovascular risk factors and high-sensitive C-reactive protein (hsCRP) level. Risk estimates were derived from Cox proportional hazard analyses. CPC count and/or hsCRP level were added to a reference model including age, sex, cardiovascular risk factors, prevalent CVD, chronic renal failure (CRF) and medications. The sample was composed of high-risk individuals, as 76.3% had prevalent CVD and 31.6% had CRF. There were 331 (31.3%) incident MACE during an average 1.7±1.1 year follow-up time. CPC count was independently associated with incident MACE even after correction for hsCRP. According to C-statistics, models including CPC yielded a non-significant improvement in accuracy of MACE prediction. However, the integrated discrimination improvement index (IDI) showed better performance of models including CPC compared to the reference model and models including hsCRP in identifying MACE. CPC count also yielded significant net reclassification improvements (NRI) for CV death, non-fatal AMI and other CV events. The effect of CPC was independent of hsCRP, but there was a significant more-than-additive interaction between low CPC count and raised hsCRP level in predicting incident MACE. Conclusions/Significance: In high risk individuals, a reduced CPC count helps identifying more patients at higher risk of MACE over the short term, especially in combination with a raised hsCRP level.
Since the beginning of the 1990s, it has been widely expected that the implementation of the European Single Market would lead to a rapid convergence of Europe’s financial systems. In the present paper we will show that at least in the period prior to the introduction of the common currency this expected convergence did not materialise. Our empirical studies on the significance of various institutions within the financial sectors, on the financing patterns of firms in various countries and on the predominant mechanisms of corporate governance, which are summarised and placed in a broader context in this paper, point to few, if any, signs of a convergence at a fundamental or structural level between the German, British and French financial systems. The German financial system continues to appear to be bank-dominated, while the British system still appears to be capital market-dominated. During the period covered by the research, i.e. 1980 – 1998, the French system underwent the most far-reaching changes, and today it is difficult to classify. In our opinion, these findings can be attributed to the effects of strong path dependencies, which are in turn an outgrowth of relationships of complementarity between the individual system components. Projecting what we have observed into the future, the results of our research indicate that one of two alternative paths of development is most likely to materialise: either the differences between the national financial systems will persist, or – possibly as a result of systemic crises – one financial system type will become the dominant model internationally. And if this second path emerges, the Anglo-American, capital market-dominated system could turn out to be the “winner”, because it is better able to withstand and weather crises, but not necessarily because it is more efficient.
Wenn man untersuchen möchte, ob sich die Finanzsysteme verschiedener Länder im Verlauf der letzten Jahre aneinander angeglichen haben oder demnächst angleichen werden, braucht man ein Konzept zur Beschreibung von Finanzsystemen, durch das wesentliche Strukturen, deren Unterschiede und Veränderungen erkennbar werden, ohne dabei in "Systemgeschwafel" (D. Schneider) abzugleiten. Wir haben dafür das Konzept der Komplementarität als nützlich identifiziert. Der Beitrag stellt dieses Konzept vor und soll und seine Eignung belegen. Letztlich geht es dabei auch um die Frage, ob reale Finanzsysteme konsistente Systeme mit komplementären Elementen darstellen. Nach der Vorstellung der formalen Konzepte der Komplementarität und der Konsistenz wird "das Finanzsystem" auf seine Komple mentarität untersucht. Dazu wird ein Finanzsystem aus der Sicht von Unternehmen des nichtfinanziellen Sektors als ein System gekennzeichnet, das aus drei Teilsystemen besteht. Das erste Teilsystem ist das Finanzierungssystem einschließlich Finanzsektor und Mustern der Unternehmensfinanzierung, das zweite das Corporate Governance-System und das dritte das Unternehmens-Strategie-System. Für alle drei Teilsysteme wird – allgemein und mit Bezug auf die Finanzsysteme Deutschlands, Japans und der USA - gezeigt, inwieweit die Elemente der betreffenden Teilsysteme untereinander komplementär sind, und geprüft, ob sie in ihren Ausprägungen auch konsistent sind, d.h. wirklich "zueinander passen". Untersucht wird auch die Komplementarität und Konsistenz zwischen den Teilsystemen selbst. Der Beitrag endet mit Überlegungen über die Anwendung des Komplementaritätskonzepts. Dass ein Finanzsystem die Eigenschaft der Komplementarität aufweist, hat nicht nur weitreichende Implikationen für die Methodik der Analyse von Finanzsystemen, sondern auch für die Vorhersehbarkeit der Entwicklung von Finanzsystemen und damit für die Wahrscheinlichkeit einer Konvergenz von Finanzsystemen, für deren Effizienzeigenschaften und für die Möglichkeiten, Finanzsysteme durch gestaltende Eingriffe zu verbessern.
A widely recognized paper by Colin Mayer (1988) has led to a profound revision of academic thinking about financing patterns of corporations in different countries. Using flow-of-funds data instead of balance sheet data, Mayer and others who followed his lead found that internal financing is the dominant mode of financing in all countries, that therefore financial patterns do not differ very much between countries and that those differences which still seem to exist are not at all consistent with the common conviction that financial systems can be classified as being either bank-based or capital market-based. This leads to a puzzle insofar as it calls into question the empirical foundation of the widely held belief that there is a correspondence between the financing patterns of corporations on the one side, and the structure of the financial sector and the prevailing corporate governance system in a given country on the other side. The present paper addresses this puzzle on a methodological and an empirical basis. It starts by demonstrating that the surprising empirical results found by Mayer et al. are due to a hidden assumption underlying their methodology. It then derives an alternative method of measuring financing patterns, which also uses flow-of-funds data, but avoids the questionable assumption. This measurement concept is then applied to patterns of corporate financing in Germany, Japan and the United States. The empirical results are very much in line with the commonly held belief prior to Mayer’s influential contribution and indicate that the financial systems of the three countries do indeed differ from one another in a substantial way.
The paper presents an empirical analysis of the alledged transformation of the financial systems in the three major European economies, France, Germany and the UK. Based on a unified data set developed on the basis of national accounts statistics, and employing a new and consistent method of measurement, the following questions are addressed: Is there a common pattern of structural change; do banks lose importance in the process of change; and are the three financial systems becoming more similar? We find that there is neither a general trend towards disintermediation, nor towards a transformation from bank-based to capital market-based financial systems, nor for a loss of importance of banks. Only in the case of France strong signs of transformation as well as signs of a general decline in the role of banks could be found. Thus the three financial systems also do not seem to become more similar. However, there is also a common pattern of change: the intermediation chains are lengthening in all three countries. Nonbank financial intermediaries are taking over a more important role as mobilizers of capital from the non-financial sectors. In combination with the trend towards securitization of bank liabilites, this change increases the funding costs of banks and may put banks under pressure. In the case of France, this change is so pronounced that it might even threaten the stability of the financial system.
In this short note on my talk I want to point out the mathematical difficulties that arise in the study of the relation of Wightman and Euclidean quantum field theory, i.e., the relation between the hierarchies of Wightman and Schwinger functions. The two extreme cases where the reconstructed Wightman functions are either tempered distributions - the well-known Osterwalder-Schrader reconstruction - or modified Fourier hyperfunctions are discussed in some detail. Finally, some perpectives towards a classification of Euclidean reconstruction theorems are outlined and preliminary steps in that direction are presented.
We present a method for the construction of a Krein space completion for spaces of test functions, equipped with an indefinite inner product induced by a kernel which is more singular than a distribution of finite order. This generalizes a regularization method for infrared singularities in quantum field theory, introduced by G. Morchio and F. Strocchi, to the case of singularites of infinite order. We give conditions for the possibility of this procedure in terms of local differential operators and the Gelfand-Shilov test function spaces, as well as an abstract sufficient condition. As a model case we construct a maximally positive definite state space for the Heisenberg algebra in the presence of an infinite infrared singularity. See the corresponding paper: Schmidt, Andreas U.: "Mathematical Problems of Gauge Quantum Field Theory: A Survey of the Schwinger Model" and the presentation "Infinite Infrared Regularization in Krein Spaces"
This extended write-up of a talk gives an introductory survey of mathematical problems of the quantization of gauge systems. Using the Schwinger model as an exactly tractable but nontrivial example which exhibits general features of gauge quantum field theory, I cover the following subjects: The axiomatics of quantum field theory, formulation of quantum field theory in terms of Wightman functions, reconstruction of the state space, the local formulation of gauge theories, indefiniteness of the Wightman functions in general and in the special case of the Schwinger model, the state space of the Schwinger model, special features of the model. New results are contained in the Mathematical Appendix, where I consider in an abstract setting the Pontrjagin space structure of a special class of indefinite inner product spaces - the so called quasi-positive ones. This is motivated by the indefinite inner product space structure appearing in the above context and generalizes results of Morchio and Strocchi [J. Math. Phys. 31 (1990) 1467], and Dubin and Tarski [J. Math. Phys. 7 (1966) 574]. See the corresponding paper: Schmidt, Andreas U.: "Infinite Infrared Regularization and a State Space for the Heisenberg Algebra" and the presentation "Infinite Infrared Regularization in Krein Spaces".
Presentation at the AMS Southeastern Sectional Meeting 14-16 March 2003, and the Workshop Asymptotic Analysis, Stability, and Generalized Functions', 17-19 March 2003, Louisiana State University, Baton Rouge, Louisiana. See the corresponding papers "Mathematical Problems of Gauge Quantum Field Theory: A Survey of the Schwinger Model" and "Infinite Infrared Regularization and a State Space for the Heisenberg Algebra".