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In many problems of quantum chaos the calculation of sums of products of periodic orbit contributions is required. A general method of computation of these sums is proposed for generic integrable models where the summation over periodic…

chao-dyn · Physics 2009-10-31 E. Bogomolny

We propose a new method for simulating QCD at finite density, where interesting phases such as the color superconductivity phase is conjectured to appear. The method is based on a general factorization property of distribution functions of…

High Energy Physics - Lattice · Physics 2017-08-23 Jun Nishimura

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

Finite-size scaling is investigated in detail around the critical point in the heavy-quark region of nonzero temperature QCD. Numerical simulations are performed with large spatial volumes up to the aspect ratio $N_s/N_t=12$ at a fixed…

High Energy Physics - Lattice · Physics 2022-01-05 Atsushi Kiyohara , Masakiyo Kitazawa , Shinji Ejiri , Kazuyuki Kanaya

Based on quantum statistical mechanics we show that the $SU(3)$ color singlet ensemble of a quark-gluon gas exhibits a $Z(3)$ symmetry through the normaized character in fundamental representation and also becomes equivalent, within a…

High Energy Physics - Phenomenology · Physics 2014-12-30 Chowdhury Aminul Islam , Raktim Abir , Munshi G. Mustafa , Sanjay K. Ghosh , Rajarshi Ray

We construct an effective action for Polyakov loops using the eigenvalues of the Polyakov loops as the fundamental variables. We assume Z(N) symmetry in the confined phase, a finite difference in energy densities between the confined and…

High Energy Physics - Lattice · Physics 2009-11-10 Peter N. Meisinger , Michael C. Ogilvie

We review various theoretical approaches to the states of QCD matter out of quarks and gluons in extreme environments such as the high-temperature states at zero and finite baryon density and the dimensionally reduced state under an intense…

High Energy Physics - Phenomenology · Physics 2015-05-30 Kenji Fukushima

We study the effect of dense quarks in a SU(N) matrix model of deconfinement. For three or more colors, the quark contribution to the loop potential is complex. After adding the charge conjugate loop, the measure of the matrix integral is…

High Energy Physics - Phenomenology · Physics 2009-11-11 Adrian Dumitru , Robert D. Pisarski , Detlef Zschiesche

We discuss the relation between the Polyakov loop and the chiral order parameter at finite temperature by using the Gocksch-Ogilvie model with fundamental or adjoint quarks. The model is based on the double expansion of strong coupling and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Kenji Fukushima

We study the effect of finite spin quark density on the chiral and deconfinement thermal crossovers using numerical simulations of lattice QCD with two dynamical light quarks. The finite spin density is introduced by the quark spin…

High Energy Physics - Lattice · Physics 2025-07-08 V. V. Braguta , M. N. Chernodub , A. A. Roenko

The role of finite volume effects on the various transport coefficients of strongly interacting quark matter is analyzed in the Polyakov chiral SU(3) quark mean field model (PCQMF) at finite temperatures and chemical potentials…

High Energy Physics - Phenomenology · Physics 2025-01-28 Dhananjay Singh , Arvind Kumar

This paper investigates the impact of strangeness chemical potential and finite volume on QCD critical end point by employing a (2+1) flavored Polyakov quark meson model. Within the mean-field approximation, the model has been extended to…

Nuclear Theory · Physics 2023-10-09 Nisha Chahal , Suneel Dutt , Arvind Kumar

Effective three-dimensional Polyakov loop theories derived from QCD by strong coupling and hopping expansions are valid for heavy quarks and can also be applied to finite chemical potential $\mu$, due to their considerably milder sign…

High Energy Physics - Lattice · Physics 2022-02-08 Jangho Kim , Anh Quang Pham , Owe Philipsen

Topological phenomena in gauge theories have long been recognized as the driving force for chiral symmetry breaking and confinement. These phenomena can be conveniently investigated in the semi-classical picture, in which the topological…

High Energy Physics - Phenomenology · Physics 2013-04-17 Pietro Faccioli , Edward Shuryak

Based on a generalized Beth-Uhlenbeck approach to thermodynamics of QCD motivated by cluster decomposition we present a unified equation of state of hot strongly interacting matter and analyze its properties in a wide range of temperatures.…

Nuclear Theory · Physics 2025-08-01 Oleksii Ivanytskyi , David Blaschke , Gerd Röpke

Recently, it was argued that the thermal deconfinement transition in pure Yang-Mills theory is continuously connected to a quantum phase transition in softly-broken N=1 SYM theory on R^3 x S^1. The transition is semiclassically calculable…

High Energy Physics - Theory · Physics 2015-06-16 Erich Poppitz , Tin Sulejmanpasic

Quantum Chromodynamics exhibits a hadronic confined phase at low to moderate temperatures and, at a critical temperature $T_C$, undergoes a transition to a deconfined phase known as the quark-gluon plasma. The nature of this deconfinement…

High Energy Physics - Lattice · Physics 2014-06-13 Finn M. Stokes , Waseem Kamleh , Derek B. Leinweber

In order to study the temperature dependence of the quark-hadron phase structure and the QCD equation of state in vanishing and finite magnetic field, the SU(3) Polyakov linear-sigma model is utilized. In mean field approximation, the…

High Energy Physics - Lattice · Physics 2017-02-06 Abdel Magied Abdel Aal Diab , Abdel Nasser Tawfik , M. T. Hussein

A natural mechanism for finite temperature quark confinement arises via the coupling of the adjoint Polyakov loop to the chromomagnetic field. Lattice simulations and analytical results both support this hypothesis. Finite temperature SU(3)…

High Energy Physics - Lattice · Physics 2009-10-30 Michael Ogilvie

The behaviour of the topological susceptibility \chi in QCD with two colours and 8 flavours of quarks is studied at nonzero temperature on the lattice across the finite density transition. It is shown that the signal of \chi drops abruptly…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , M. P. Lombardo