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In QCD at large enough isospin chemical potential Bose-Einstein Condensation (BEC) takes place, separated from the normal phase by a phase transition. From previous studies the location of the BEC line at the physical point is known. In the chiral limit the condensation happens already at infinitesimally small isospin chemical potential for zero temperature according to chiral perturbation theory. The thermal chiral transition at zero density might then be affected, depending on the shape of the BEC boundary, by its proximity. As a first step towards the chiral limit, we perform simulations of 2+1 flavors QCD at half the physical quark masses. The position of the BEC transition is then extracted and compared with the results at physical masses.
Dual formulations of Abelian U(1) and Z(N) LGT with a static fermion determinant are constructed at finite temperatures and non-zero chemical potential. The dual form is valid for a broad class of lattice gauge actions, for arbitrary number of fermion flavors and in any dimension. The distinguished feature of the dual formulation is that the dual Boltzmann weight is strictly positive. This allows to gain reliable results at finite density via the Monte-Carlo simulations. As a byproduct of the dual representation we outline an exact solution for the partition function of the (1+1)-dimensional theory and reveal an existence of a phase with oscillating correlations.
Brandt, Bastian Benjamin ; Chelnokov, Volodymyr ; Cuteri, Francesca ; Endrődi, Gergely ; Winterowd, Christopher
We discuss results for the Roberge Weiss (RW) phase transition at nonzero imaginary baryon and isospin chemical potentials, in the plane of temperature and quark masses. Our study focuses on the light tricritical endpoint which has already been used as a starting point for extrapolations aiming at the chiral limit at vanishing chemical potentials. In particular, we are interested in determining how imaginary isospin chemical potential shifts the tricritical mass with respect to earlier studies at zero imaginary isospin chemical potential. A positive shift might allow one to perform the chiral extrapolations from larger quark mass values, therefore making them less computationally expensive. We also present results for the dynamics of Polyakov loop clusters across the RW phase transition.
The quark confinement in QCD is achieved by concentration of the chromoelectric field between the quark-antiquark pair into a flux tube, which gives rise to a linear quark-antiquark potential. We study the structure of the flux tube created by a static quark-antiquark pair in the pure gauge SU(3) theory, using lattice Monte-Carlo simulations. We calculate the spatial distribution of all three components of the chromoelectric field and perform the “zero curl subtraction” procedure to obtain the nonperturbative part of the longitudinal component of the field, which we identify as the part responsible for the formation of the flux tube. Taking the spatial derivatives of the obtained field allows us to extract the electric charge and magnetic current densities in the flux tube. The behavior of these observables under smearing and with respect to continuum scaling is investigated. Finally, we briefly discuss the role of magnetic currents in the formation of the string tension.
We consider a dual representation of an effective three-dimensional Polyakov loop model for the SU(3) theory at nonzero real chemical potential. This representation is free of the sign problem and can be used for numeric Monte-Carlo simulations. These simulations allow us to locate the line of second order phase transitions, that separates the region of first order phase transition from the crossover one. The behavior of local observables in different phases of the model is studied numerically and compared with predictions of the mean-field analysis. Our dual formulation allows us to study also Polyakov loop correlation functions. From these results, we extract the screening masses and compare them with large-N predictions.
The broad class of U(N) and SU(N) Polyakov loop models on the lattice are solved exactly in the combined large N, Nf limit, where N is a number of colors and Nf is a number of quark flavors, and in any dimension. In this ’t Hooft-Veneziano limit the ratio N/Nf is kept fixed. We calculate both the free energy and various correlation functions. The critical behavior of the models is described in details at finite temperatures and non-zero baryon chemical potential. Furthermore, we prove that the calculation of the N-point (baryon) correlation function reduces to the geometric median problem in the confinement phase. In the deconfinement phase we establish an existence of the complex masses and an oscillating decay of correlations in a certain region of parameters.
Many Polyakov loop models can be written in a dual formulation which is free of sign problem even when a non-vanishing baryon chemical potential is introduced in the action. Here, results of numerical simulations of a dual representation of one such effective Polyakov loop model at finite baryon density are presented. We compute various local observables such as energy density, baryon density, quark condensate and describe in details the phase diagram of the model. The regions of the first order phase transition and the crossover, as well as the line of the second order phase transition, are established. We also compute several correlation functions of the Polyakov loops.
Adam, Jaroslav ; Adamová, Dagmar ; Aggarwal, Madan Mohan ; Aglieri Rinella, Gianluca ; Agnello, Michelangelo ; Agrawal, Neelima ; Ahammed, Zubayer ; Ahmad, Shakeel ; Ahn, Sang Un ; Aiola, Salvatore ; Akindinov, Alexander ; Alam, Sk Noor ; Albuquerque, Danilo Silva de ; Aleksandrov, Dmitry ; Alessandro, Bruno ; Alexandre, Didier ; Alfaro Molina, Jose Ruben ; Alici, Andrea ; Alkin, Anton ; Alme, Johan ; Alt, Torsten ; Altinpinar, Sedat ; Altsybeev, Igor ; Prado, Caio Alves Garcia ; An, Mangmang ; Andrei, Cristian ; Andrews, Harry Arthur ; Andronic, Anton ; Anguelov, Venelin ; Anson, Christopher Daniel ; Antičić, Tome ; Antinori, Federico ; Antonioli, Pietro ; Aphecetche, Laurent Bernard ; Appelshäuser, Harald ; Arcelli, Silvia ; Arnaldi, Roberta ; Arnold, Oliver Werner ; Arsene, Ionut Cristian ; Arslandok, Mesut ; Audurier, Benjamin ; Augustinus, Andre ; Averbeck, Ralf Peter ; Azmi, Mohd Danish ; Badalà, Angela ; Baek, Yong Wook ; Bagnasco, Stefano ; Bailhache, Raphaëlle ; Bala, Renu ; Balasubramanian, Supraja ; Baldisseri, Alberto ; Baral, Rama Chandra ; Barbano, Anastasia Maria ; Barbera, Roberto ; Barile, Francesco ; Barnaföldi, Gergely Gábor ; Barnby, Lee Stuart ; Ramillien Barret, Valerie ; Bartalini, Paolo ; Barth, Klaus ; Bartke, Jerzy ; Bartsch, Esther ; Basile, Maurizio ; Bastid, Nicole ; Basu, Sumit ; Bathen, Bastian ; Batigne, Guillaume ; Batista Camejo, Arianna ; Batyunya, Boris ; Bätzing, Paul Christoph ; Bearden, Ian Gardner ; Beck, Hans ; Bedda, Cristina ; Behera, Nirbhay Kumar ; Belikov, Iouri ; Bellini, Francesca ; Bello Martinez, Hector ; Bellwied, Rene ; Belmont Moreno, Ernesto ; Espinoza Beltran, Lucina Gabriela ; Belyaev, Vladimir ; Bencédi, Gyula ; Beolè, Stefania ; Berceanu, Ionela ; Bercuci, Alexandru ; Berdnikov, Yaroslav ; Berényi, Dániel ; Bertens, Redmer Alexander ; Berzano, Dario ; Betev, Latchezar ; Bhasin, Anju ; Bhat, Inayat Rasool ; Bhati, Ashok Kumar ; Bhattacharjee, Buddhadeb ; Bhom, Jihyun ; Bianchi, Livio ; Bianchi, Nicola ; Bianchin, Chiara ; Bielčík, Jaroslav ; 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Tumkin, Alexandr ; Turrisi, Rosario ; Tveter, Trine Spedstad ; Ullaland, Kjetil ; Uras, Antonio ; Usai, Gianluca ; Utrobicic, Antonija ; Vala, Martin ; Maarel, Jasper van der ; Hoorne, Jacobus Willem van ; Leeuwen, Marco van ; Vanat, Tomas ; Vyvre, Pierre vande ; Varga, Dezsö ; Vargas Treviño, Maria Aurora Diozcora ; Vargyas, Márton ; Varma, Raghava ; Vasileiou, Maria ; Vasiliev, Andrey ; Vauthier, Astrid ; Vazquez Doce, Oton ; Vechernin, Vladimir ; Veen, Annelies Marianne ; Velure, Arild ; Vercellin, Ermanno ; Vergara Limon, Sergio ; Vernet, Renaud ; Vértesi, Róbert ; Vicković, Linda ; Vigolo, Sonia ; Viinikainen, Jussi Samuli ; Vilakazi, Zabulon ; Villalobos Baillie, Orlando ; Villatoro Tello, Abraham ; Vinogradov, Alexander ; Vinogradov, Leonid ; Virgili, Tiziano ; Vislavicius, Vytautas ; Vodopyanov, Alexander ; Volkl, Martin Andreas ; Voloshin, Kirill ; Voloshin, Sergei ; Volpe, Giacomo ; Haller, Barthélémy von ; Vorobyev, Ivan ; Voscek, Dominik ; Vranić, Danilo ; Vrlakova, Janka ; Vulpescu, Bogdan ; Wagner, Boris ; Wagner, Jan ; Wang, Hongkai ; Wang, Mengliang ; Watanabe, Daisuke ; Watanabe, Yosuke ; Weber, Michael ; Weber, Steffen Georg ; Weiser, Dennis ; Wessels, Johannes P. ; Westerhoff, Uwe ; Whitehead, Andile Mothegi ; Wiechula, Jens ; Wikne, Jon ; Wilk, Grzegorz Andrzej ; Wilkinson, Jeremy John ; Willems, Guido Alexander ; Williams, M. Crispin S. ; Windelband, Bernd ; Winn, Michael Andreas ; Yalcin, Serpil ; Yang, Ping ; Yano, Satoshi ; Yin, Zhongbao ; Yokoyama, Hiroki ; Yoo, In-kwon ; Yoon, Jin Hee ; Yurchenko, Volodymyr ; Zaccolo, Valentina ; Zaman, Ali ; Zampolli, Chiara ; Correia Zanoli, Henrique Jose ; Zaporozhets, Sergey ; Zardoshti, Nima ; Zarochentsev, Andrey ; Závada, Petr ; Zavyalov, Nikolay ; Zbroszczyk, Hanna Paulina ; Zgura, Sorin Ion ; Zhalov, Mikhail ; Zhang, Haitao ; Zhang, Xiaoming ; Zhang, Yonghong ; Chunhui, Zhang ; Zhang, Zuman ; Zhao, Chengxin ; Zhigareva, Natalia ; Zhou, Daicui ; Zhou, You ; Zhou, Zhuo ; Zhu, Hongsheng ; Zhu, Jianhui ; Zichichi, Antonino ; Zimmermann, Alice ; Zimmermann, Markus ; Zinovjev, Gennady M. ; Zmeskal, Johann
The production of beauty hadrons was measured via semi-leptonic decays at mid-rapidity with the ALICE detector at the LHC in the transverse momentum interval 1<p T < 8 GeV/c in minimum-bias p-Pb collisions at sNN−−−√=5.02 TeV and in 1.3 < p T < 8 GeV/c in the 20% most central Pb-Pb collisions at sNN−−−√=2.76 TeV. The pp reference spectra at sNN−−−√=5.02 TeV and s√=2.76 TeV, needed for the calculation of the nuclear modification factors R pPb and R PbPb, were obtained by a pQCD-driven scaling of the cross section of electrons from beauty-hadron decays measured at s√=7 TeV. In the p T interval 3 < p T < 8 GeV/c, a suppression of the yield of electrons from beauty-hadron decays is observed in Pb-Pb compared to pp collisions. Towards lower p T, the R PbPb values increase with large systematic uncertainties. The R pPb is consistent with unity within systematic uncertainties and is well described by theoretical calculations that include cold nuclear matter effects in p-Pb collisions. The measured R pPb and these calculations indicate that cold nuclear matter effects are small at high transverse momentum also in Pb-Pb collisions. Therefore, the observed reduction of R PbPb below unity at high p T may be ascribed to an effect of the hot and dense medium formed in Pb-Pb collisions.
Adam, Jaroslav ; Adamová, Dagmar ; Aggarwal, Madan Mohan ; Aglieri Rinella, Gianluca ; Agnello, Michelangelo ; Agrawal, Neelima ; Ahammed, Zubayer ; Ahmad, Shakeel ; Ahn, Sang Un ; Aiola, Salvatore ; Akindinov, Alexander ; Alam, Sk Noor ; Albuquerque, Danilo Silva de ; Aleksandrov, Dmitry ; Alessandro, Bruno ; Alexandre, Didier ; Alfaro Molina, Jose Ruben ; Alici, Andrea ; Alkin, Anton ; Millan Almaraz, Jesus Roberto ; Alme, Johan ; Alt, Torsten ; Altinpinar, Sedat ; Altsybeev, Igor ; Prado, Caio Alves Garcia ; Andrei, Cristian ; Andronic, Anton ; Anguelov, Venelin ; Antičić, Tome ; Antinori, Federico ; Antonioli, Pietro ; Aphecetche, Laurent Bernard ; Appelshäuser, Harald ; Arcelli, Silvia ; Arnaldi, Roberta ; Arnold, Oliver Werner ; Arsene, Ionut Cristian ; Arslandok, Mesut ; Audurier, Benjamin ; Augustinus, Andre ; Averbeck, Ralf Peter ; Azmi, Mohd Danish ; Badalà, Angela ; Baek, Yong Wook ; Bagnasco, Stefano ; Bailhache, Raphaëlle ; Bala, Renu ; Balasubramanian, Supraja ; Baldisseri, Alberto ; 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Jadlovsky, Jan ; Jahnke, Cristiane ; Jakubowska, Monika Joanna ; Janik, Malgorzata Anna ; Pahula Hewage, Sandun ; Jena, Chitrasen ; Jena, Satyajit ; Jiménez Bustamante, Raúl Tonatiuh ; Jones, Peter Graham ; Jusko, Anton ; Kalinak, Peter ; Kalweit, Alexander Philipp ; Kang, Ju Hwan ; Kaplin, Vladimir ; Kar, Somnath ; Karasu Uysal, Ayben ; Karavichev, Oleg V. ; Karavicheva, Tatiana L. ; Karayan, Lilit ; Karpechev, Evgeny ; Kebschull, Udo ; Keidel, Ralf ; Keijdener, Darius Laurens D. ; Keil, Markus ; Khan, Mohammed Mohisin ; Khan, Palash ; Khan, Shuaib Ahmad ; Khanzadeev, Alexei ; Kharlov, Yury ; Kileng, Bjarte ; Kim, Do Won ; Kim, Dong Jo ; Kim, Daehyeok ; Kim, Hyeonjoong ; Kim, Jin Sook ; Kim, Jiyoung ; Kim, Minwoo ; Kim, Se Yong ; Kim, Taesoo ; Kirsch, Stefan ; Kisel, Ivan ; Kiselev, Sergej N. ; Kisiel, Adam Ryszard ; Kiss, Gabor ; Klay, Jennifer Lynn ; Klein, Carsten ; Klein, Jochen ; Klein-Bösing, Christian ; Klewin, Sebastian ; Kluge, Alexander ; Knichel, Michael Linus ; Knospe, Anders Garritt ; 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Röhrich, Dieter ; Ronchetti, Federico ; Ronflette, Lucile ; Rosnet, Philippe ; Rossi, Andrea ; Roukoutakis, Filimon ; Roy, Ankhi ; Roy, Christelle Sophie ; Roy, Pradip Kumar ; Rubio Montero, Antonio Juan ; Rui, Rinaldo ; Russo, Riccardo ; Ryabinkin, Evgeny ; Ryabov, Yury ; Rybicki, Andrzej ; Saarinen, Sampo ; Sadhu, Samrangy ; Sadovskiy, Sergey ; Šafařík, Karel ; SahlmÜller, Baldo ; Sahoo, Pragati ; Sahoo, Raghunath ; Sahoo, Sarita ; Sahu, Pradip Kumar ; Saini, Jogender ; Sakai, Shingo ; Saleh, Mohammad Ahmad ; Salzwedel, Jai ; Sambyal, Sanjeev Singh ; Samsonov, Vladimir ; Šándor, Ladislav ; Sandoval, Andres ; Sano, Masato ; Sarkar, Debojit ; Sarkar, Nachiketa ; Sarma, Pranjal ; Scapparone, Eugenio ; Scarlassara, Fernando ; Schiaua, Claudiu Cornel ; Schicker, Rainer ; Schmidt, Christian Joachim ; Schmidt, Hans Rudolf ; Schmidt, Martin ; Schuchmann, Simone ; Schukraft, Jürgen ; Schutz, Yves Roland ; Schwarz, Kilian Eberhard ; Schweda, Kai ; Scioli, Gilda ; Scomparin, Enrico ; Scott, Rebecca Michelle ; 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Crispin S. ; Windelband, Bernd ; Winn, Michael Andreas ; Yalcin, Serpil ; Yang, Ping ; Yano, Satoshi ; Yin, Zhongbao ; Yokoyama, Hiroki ; Yoo, In-Kwon ; Yoon, Jin Hee ; Yurchenko, Volodymyr ; Zaborowska, Anna ; Zaccolo, Valentina ; Zaman, Ali ; Zampolli, Chiara ; Correia Zanoli, Henrique Jose ; Zaporozhets, Sergey ; Zardoshti, Nima ; Zarochentsev, Andrey ; Závada, Petr ; Zavyalov, Nikolay ; Zbroszczyk, Hanna Paulina ; Zgura, Sorin Ion ; Zhalov, Mikhail ; Zhang, Haitao ; Zhang, Xiaoming ; Zhang, Yonghong ; Chunhui, Zhang ; Zhang, Zuman ; Zhao, Chengxin ; Zhigareva, Natalia ; Zhou, Daicui ; Zhou, You ; Zhou, Zhuo ; Zhu, Hongsheng ; Zhu, Jianhui ; Zichichi, Antonino ; Zimmermann, Alice ; Zimmermann, Markus ; Zinovjev, Gennady M. ; Zyzak, Maksym
The azimuthal correlations of D mesons with charged particles were measured with the ALICE apparatus in pp collisions at s√=7 TeV and p–Pb collisions at sNN−−−√=5.02 TeV at the Large Hadron Collider. D0, D+, and D∗+ mesons and their charge conjugates with transverse momentum 3<pT<16 GeV/c and rapidity in the nucleon-nucleon centre-of-mass system |ycms|<0.5 (pp collisions) and −0.96<ycms<0.04 (p–Pb collisions) were correlated to charged particles with pT>0.3 GeV/c. The yield of charged particles in the correlation peak induced by the jet containing the D meson and the peak width are compatible within uncertainties in the two collision systems. The data are described within uncertainties by Monte-Carlo simulations based on PYTHIA, POWHEG, and EPOS 3 event generators.