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Quantum Chromodynamics (QCD) at finite density is most often formulated on the lattice as a grand canonical ensemble. Since lattice QCD has a complex action problem at finite baryo-chemical potential ($\mu_B$), its results at finite density…

QCD at fixed baryon number can be formulated in terms of transfer matrices explicitly defined in the canonical sectors. In the heavy-dense limit, the fermionic contributions to the canonical partition functions in terms of Polyakov loops…

High Energy Physics - Lattice · Physics 2021-10-29 Patrick Bühlmann , Urs Wenger

For the exploration of the phase diagram of QCD, effective Polyakov loop theories derived from lattice QCD provide a valuable tool in the heavy quark mass regime. Using mean field approximations these theories are evaluated in the high and…

High Energy Physics - Lattice · Physics 2025-02-03 Christoph Konrad , Owe Philipsen

We summarize the derivation of the finite temperature, finite chemical potential thermodynamic potential in the bag-model approximation to quantum chromodynamics (QCD) that includes a finite $s$-quark mass in the Feynman diagram…

High Energy Physics - Phenomenology · Physics 2020-02-13 Mayukh R. Gangopadhyay , Grant J. Mathews , J. Pocahontas Olson

We study the behavior of the fermion determinant at finite temperature and chemical potential, as a function of the Polyakov loop. The phase of the determinant is correlated with the imaginary part of the Polyakov loop. This correlation and…

High Energy Physics - Lattice · Physics 2009-10-31 Ph. de Forcrand , V. Laliena

We investigate the phase structure of QCD at finite temperature and light-quark chemical potential. We improve upon earlier results for N_f=2+1 dynamical quark flavors and investigate the effects of charm quarks in an extension to…

High Energy Physics - Phenomenology · Physics 2014-09-05 Christian S. Fischer , Jan Luecker , Christian A. Welzbacher

Identical particle correlations at fixed multiplicity are considered by means of quantum canonical ensemble of finite systems. We calculate one-particle momentum spectra and two-particle Bose-Einstein correlation functions in the ideal gas…

Nuclear Theory · Physics 2016-08-24 S. V. Akkelin , Yu. M. Sinyukov

A model for particle production at the deconfining phase transition in QCD is developed, as the semi-classical decay of a condensate for the Polyakov loop. In such a model, generically particle production, as measured on an event-by-event…

High Energy Physics - Phenomenology · Physics 2009-10-31 Adrian Dumitru , Robert D. Pisarski

We extend a previous investigation of the QCD phase diagram with heavy quarks in the context of background field methods by including the two-loop corrections to the background field effective potential. The nonperturbative dynamics in the…

High Energy Physics - Phenomenology · Physics 2018-05-02 J. Maelger , U. Reinosa , J. Serreau

We calculate for the first time the complex potential between a heavy quark and antiquark at finite temperature across the deconfinement transition in lattice QCD. The real and imaginary part of the potential at each separation distance $r$…

High Energy Physics - Lattice · Physics 2013-05-30 Alexander Rothkopf , Tetsuo Hatsuda , Shoichi Sasaki

QCD with heavy dynamical quarks exhibits a first order thermal transition which is driven by the spontaneous breaking of the global $\mathcal{Z}_3$ center symmetry. Decreasing the quark masses weakens the transition until the corresponding…

High Energy Physics - Lattice · Physics 2021-12-09 Ruben Kara , Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Paolo Parotto , Attila Pasztor , Denes Sexty

We extend our previous study of the QCD phase structure in the heavy quark region to non-zero chemical potentials. To identify the critical point where the first order deconfining transition terminates, we study an effective potential…

High Energy Physics - Lattice · Physics 2012-02-29 H. Saito , S. Aoki , K. Kanaya , H. Ohno , S. Ejiri , Y. Nakagawa , T. Hatsuda , T. Umeda

Result on the locations of the tricritical points of $N_f=2$ lattice QCD with imaginary chemical potential is presented. Simulations are carried out with Symanzik improved gauge action and Asqtad fermion action. With imaginary chemical…

High Energy Physics - Lattice · Physics 2017-03-15 Liang-Kai Wu , Xiang-Fei Meng

We discuss the nature of the phase transition for lattice QCD at finite temperature and density. We propose a method to calculate the canonical partition function by fixing the total quark number introducing approximations allowed in the…

High Energy Physics - Lattice · Physics 2009-01-14 Shinji Ejiri

We consider continuum-formulation QCD in four dimensions with twelve massless fundamental quark flavors. Splitting the SU(\(N\)) gauge field into background and fluctuation parts, we use well-developed techniques to calculate the one-loop…

High Energy Physics - Theory · Physics 2025-03-05 Seth Grable , Paul Romatschke

We investigate the properties of hot and/or dense matter in QCD-like theories with quarks in a (pseudo)real representation of the gauge group using the Nambu-Jona-Lasinio model. The gauge dynamics is modeled using a simple lattice spin…

High Energy Physics - Phenomenology · Physics 2015-03-17 Tian Zhang , Tomas Brauner , Dirk H. Rischke

We discuss an effective Polyakov loop model for QCD thermodynamics with a chemical potential. Using high temperature expansion techniques the partition sum is mapped exactly onto the partition sum of a flux model. In the flux representation…

High Energy Physics - Lattice · Physics 2011-06-13 Christof Gattringer

We study the phase structure of QCD at finite temperature within a Polyakov-loop enhanced quark-meson model. Such a model describes the chiral as well as the confinement-deconfinement dynamics. In the present investigation, based on the…

High Energy Physics - Phenomenology · Physics 2014-04-04 Tina Katharina Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

QCD with infinite heavy quark masses exhibits a first-order thermal transition which is driven by the spontaneous breaking of the global $\mathcal{Z}_3$ center symmetry. We analyze the corresponding order parameter, namely the Polyakov loop…

High Energy Physics - Lattice · Physics 2022-12-21 Ruben Kara , Szabolcs Borsanyi , Zoltan Fodor , Daniel A. Godzieba , Paolo Parotto , Denes Sexty

Till date, the only consistent description of the deconfinement phase of the Sakai-Sugimoto model appears to be provided by the analysis of [1] (arXiv:1107.4048). The current version of the analysis, however, has a subtlety regarding the…

High Energy Physics - Theory · Physics 2016-01-27 Hiroshi Isono , Gautam Mandal , Takeshi Morita