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The heat kernel expansion for field theory at finite temperature is constructed. It is based on the imaginary time formalism and applies to generic Klein-Gordon operators in flat space-time. Full gauge invariance is manifest at each order…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Megias , E. Ruiz Arriola , L. L. Salcedo

We study two effective models for QCD, the Nambu-Jona-Lasinio -model and the linear sigma model extended by including a Polyakov loop potential, which is fitted to reproduce pure gauge theory thermodynamics, and a coupling between the…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Kahara , K. Tuominen

We study the high density region of QCD within an effective model obtained in the frame of the hopping parameter expansion and choosing Polyakov type of loops as the main dynamical variables representing the fermionic matter. To get a first…

High Energy Physics - Lattice · Physics 2008-11-26 R. De Pietri , A. Feo , E. Seiler , I. -O. Stamatescu

We discuss divergences of loop functions in thermal QCD and compute perturbatively the Polyakov loop, the Polyakov loop correlator and the cyclic Wilson loop. We show how these functions get mixed under renormalization.

High Energy Physics - Phenomenology · Physics 2015-06-23 Antonio Vairo

This Chapter introduces QCD at finite temperature and density. We first present the formulation of the thermal theory in the Euclidean path integral formalism. We then describe how the strong dynamics at high temperature can be inspected…

High Energy Physics - Phenomenology · Physics 2026-02-24 Matteo Bresciani

We show how excited states in QCD can be profitably used to build up the Polyakov loop in the fundamental representation at temperatures below the hadron-quark-gluon crossover. The conditions under which a Hagedorn temperature for the…

High Energy Physics - Phenomenology · Physics 2013-04-15 E. Ruiz Arriola , L. L. Salcedo , E. Megias

The phase diagram and the equation of state of QCD is investigated in the presence of weak background electric fields by means of continuum extrapolated lattice simulations. The complex action problem at nonzero electric field is…

High Energy Physics - Lattice · Physics 2023-09-14 Gergely Endrodi , Gergely Marko

At finite imaginary values of the chemical potential, QCD is free of the sign problem. Moreover, at high temperatures the partition function exhibits a new symmetry (the Roberge-Weiss symmetry) connecting phases with different orientations…

High Energy Physics - Lattice · Physics 2021-11-03 Amine Chabane , Gergely Endrödi

We put forward a Polyakov-loop extended quark meson model, where matter as well as glue fluctuations are taken into account, cf. [1]. The latter are included via a Polyakov-loop potential. Usually such a glue potential is based on…

High Energy Physics - Phenomenology · Physics 2014-01-09 Tina K. Herbst , Mario Mitter , Jan M. Pawlowski , Bernd-Jochen Schaefer , Rainer Stiele

We compare SU(2) Polyakov loop models with different effective actions with data from full two-color QCD simulations around and above the critical temperature. We then apply the effective theories at finite temperature and density to…

High Energy Physics - Lattice · Physics 2014-12-23 Philipp Scior , David Scheffler , Dominik Smith , Lorenz von Smekal

Classical transport theory for colored particles is investigated and employed to derive the hard thermal loops of QCD. A formal construction of phase-space for color degrees of freedom is presented. The gauge invariance of the non-Abelian…

High Energy Physics - Phenomenology · Physics 2011-07-19 P. F. Kelly , Q. Liu , C. Lucchesi , C. Manuel

Monte Carlo simulations of systems with a complex action are known to be extremely difficult. A new approach to this problem based on a factorization property of distribution functions of observables has been proposed recently. The method…

High Energy Physics - Lattice · Physics 2010-02-03 J. Ambjorn , K. N. Anagnostopoulos , J. Nishimura , J. J. M. Verbaarschot

We review theoretical aspects of quantum chromodynamics (QCD) at finite temperature. The most important physical variable to characterize hot QCD is the Polyakov loop, which is an approximate order parameter for quark deconfinement in a hot…

High Energy Physics - Phenomenology · Physics 2017-09-13 Kenji Fukushima , Vladimir Skokov

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 study the effect of quantum and thermal fluctuations as well as the mass dependence of the phase structure of QCD at finite temperature and density within a dynamical Polyakov-loop--extended quark-meson model. The glue dynamics is…

High Energy Physics - Phenomenology · Physics 2012-02-06 Tina Katharina Herbst , Jan M. Pawlowski , Bernd-Jochen Schaefer

We study the thermodynamics of QCD system under external magnetic field via the 2+1 flavor Polyakov-loop quark-meson model. To incorporate quantum and thermal fluctuations, the functional renormalization group approach is implemented in our…

High Energy Physics - Phenomenology · Physics 2019-05-02 Xiang Li , Wei-jie Fu , Yu-xin Liu

We study the interpretation of Lattice data about the thermodynamics of the deconfinement phase of SU(3) Yang-Mills theory, in terms of gluon quasiparticles propagating in a background of a Polyakov loop. A potential for the Polyakov loop,…

High Energy Physics - Phenomenology · Physics 2013-05-30 M. Ruggieri , P. Alba , P. Castorina , S. Plumari , C. Ratti , V. Greco

This is a short review on the thermal, spectral representation in the real-time version of the finite temperature quantum field theory. After presenting a clear derivation of the spectral representation, we discuss the properties of its…

High Energy Physics - Theory · Physics 2007-05-23 Sourav Sarkar , B. K. Patra , V. J. Menon , S. Mallik

In this paper we discuss one-dimensional models reproducing some features of quantum electrodynamics and quantum chromodynamics at nonzero density and temperature. Since a severe sign problem makes a numerical treatment of QED and QCD at…

High Energy Physics - Lattice · Physics 2015-08-05 Jan M. Pawlowski , Ion-Olimpiu Stamatescu , Christian Zielinski

We develop the heat kernel method in the context of finite temperature quantum field theory. We compute the heat kernel expansion in the presence of general gauge and scalar fields which may be non Abelian and non stationary. The Polyakov…

High Energy Physics - Phenomenology · Physics 2017-01-03 Eugenio Megias