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poster presentation at the 31st International Symposium on Lattice Field Theory LATTICE 2013:
We explore and compare three mixed action setups with Wilson twisted mass sea quarks and different valence quark actions: (1) Wilson twisted mass, (2) Wilson twisted mass + clover and (3) Wilson + clover. Our main goal is to reduce lattice discretization errors in mesonic spectral quantities, in particular to reduce twisted mass parity and isospin breaking.
Abstract: Simple cells in primary visual cortex were famously found to respond to low-level image components such as edges. Sparse coding and independent component analysis (ICA) emerged as the standard computational models for simple cell coding because they linked their receptive fields to the statistics of visual stimuli. However, a salient feature of image statistics, occlusions of image components, is not considered by these models. Here we ask if occlusions have an effect on the predicted shapes of simple cell receptive fields. We use a comparative approach to answer this question and investigate two models for simple cells: a standard linear model and an occlusive model. For both models we simultaneously estimate optimal receptive fields, sparsity and stimulus noise. The two models are identical except for their component superposition assumption. We find the image encoding and receptive fields predicted by the models to differ significantly. While both models predict many Gabor-like fields, the occlusive model predicts a much sparser encoding and high percentages of ‘globular’ receptive fields. This relatively new center-surround type of simple cell response is observed since reverse correlation is used in experimental studies. While high percentages of ‘globular’ fields can be obtained using specific choices of sparsity and overcompleteness in linear sparse coding, no or only low proportions are reported in the vast majority of studies on linear models (including all ICA models). Likewise, for the here investigated linear model and optimal sparsity, only low proportions of ‘globular’ fields are observed. In comparison, the occlusive model robustly infers high proportions and can match the experimentally observed high proportions of ‘globular’ fields well. Our computational study, therefore, suggests that ‘globular’ fields may be evidence for an optimal encoding of visual occlusions in primary visual cortex.
Author Summary: The statistics of our visual world is dominated by occlusions. Almost every image processed by our brain consists of mutually occluding objects, animals and plants. Our visual cortex is optimized through evolution and throughout our lifespan for such stimuli. Yet, the standard computational models of primary visual processing do not consider occlusions. In this study, we ask what effects visual occlusions may have on predicted response properties of simple cells which are the first cortical processing units for images. Our results suggest that recently observed differences between experiments and predictions of the standard simple cell models can be attributed to occlusions. The most significant consequence of occlusions is the prediction of many cells sensitive to center-surround stimuli. Experimentally, large quantities of such cells are observed since new techniques (reverse correlation) are used. Without occlusions, they are only obtained for specific settings and none of the seminal studies (sparse coding, ICA) predicted such fields. In contrast, the new type of response naturally emerges as soon as occlusions are considered. In comparison with recent in vivo experiments we find that occlusive models are consistent with the high percentages of center-surround simple cells observed in macaque monkeys, ferrets and mice.
In this work the main emphasis is put on the investigation of relativistic shock waves and Mach cones in hot and dense matter using the microscopic transport model BAMPS, based on the relativistic Boltzmann equation. Using this kinetic approach we study the complete transition from ideal-fluid behavior to free streaming. This includes shock-wave formation in a simplified (1+1)-dimensional setup as well as the investigation of Mach-cone formation induced by supersonic projectiles and/or jets in (2+1)- and (3+1)-dimensional static and expanding systems. We further address the question whether jet-medium interactions inducing Mach cones can contribute to a double-peak structure observed in two-particle correlations in heavy-ion collision experiments. Furthermore, BAMPS is used as a benchmark to compare kinetic theory to several relativistic hydrodynamic theories in order to verify their accuracy and to find their limitations.
Using a partonic transport model we investigate the evolution of conical structures in ultrarelativistic matter. Using two different source terms and varying the transport properties of the matter we study the formation of Mach Cones. Furthermore, in an additional study we extract the two-particle correlations from the numerical calculations and compare them to an analytical approximation. The influence of the viscosity to the shape of Mach Cones and the corresponding two-particle correlations is studied by adjusting the cross section of the medium.
The width of the ω meson in cold nuclear matter is computed in a hadronic many-body approach, focusing on a detailed treatment of the medium modifications of intermediate πρ states. The π and ρ propagators are dressed by their self-energies in nuclear matter taken from previously constrained many-body calculations. The pion self-energy includes Nh and Δh excitations with short-range correlations, while the ρ self-energy incorporates the same dressing of its 2π cloud with a full 3-momentum dependence and vertex corrections, as well as direct resonance-hole excitations; both contributions were quantitatively fit to total photo-absorption spectra and πN→ρN scattering. Our calculations account for in-medium decays of type ωN→πN(⁎),ππN(Δ), and 2-body absorptions ωNN→NN(⁎),πNN. This causes deviations of the in-medium ω width from a linear behavior in density, with important contributions from spacelike ρ propagators. The ω width from the ρπ cloud may reach up to 200 MeV at normal nuclear matter density, with a moderate 3-momentum dependence. This largely resolves the discrepancy of linear T–ϱ approximations with the values deduced from nuclear photoproduction measurements.
Nach dem einführenden Theorieteil werden in den darauffolgenden Kapiteln zuerst die Auslegung und die Vermessung der drei Tripletts an der GSI in Darmstadt beschrieben und dann versucht mit Hilfe von LORASR einen Akzeptanzrahmen der MEBT-Sektion (Medium Energy Beam Transport) für ein Teilchenpaket anzugeben. Anschließend werden die Ergebnisse aus Feldvermessung und CST EM STUDIO Feldsimulationen verglichen. Damit soll die Frage, inwieweit es mit Particle Tracking Simulationen, in denen mit in CST EM STUDIO simulierten und anschließend in BENDER importierten Feldern gearbeitet wird, möglich ist, zutreffende Aussagen zu machen, beantwortet werden. Im letzten Kapitel werden wiederum die Ergebnisse dieser Simulationen präsentiert und ihre Bedeutung, im Vergleich mit den erweiterten Untersuchungen der Transporteigenschaften durch verschiedene aus überlagerten Multipolfeldern generierten Magnetfelder, eingeordnet. Abschließend wird nochmals ein Fazit zur Aussagekraft der Ergebnisse und der Folgen für den Strahltransport gezogen und ein Ausblick auf die noch ausstehenden Schritte und weitere experimentelle Analyseoptionen gegeben.
We investigate the modification of the pion self-energy at finite temperature due to its interaction with a low-density, isospin-symmetric nuclear medium embedded in a constant magnetic background. To one loop, for fixed temperature and density, we find that the pion effective mass increases with the magnetic field. For the π−, interestingly, this happens solely due to the trivial Landau quantization shift ∼|eB|, since the real part of the self-energy is negative in this case. In a scenario in which other charged particle species are present and undergo an analogous trivial shift, the relevant behavior of the effective mass might be determined essentially by the real part of the self-energy. In this case, we find that the pion mass decreases by ∼10% for a magnetic field |eB|∼mπ2, which favors pion condensation at high density and low temperatures.