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Related papers: Localization at the quenched SU(3) phase transitio…

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Finite temperature lattice QCD is probed by varying the temporal boundary conditions of the fermions. We develop the emerging physical behavior in a study of the quenched case and subsequently present first results for a fully dynamical…

High Energy Physics - Lattice · Physics 2010-04-30 Erek Bilgici , Falk Bruckmann , Julia Danzer , Christof Gattringer , Christian Hagen , Ernst Michael Ilgenfritz , Axel Maas

Using the Dirac-mode expansion method, which keeps the gauge invariance, we analyze the Polyakov loop in terms of the Dirac modes in SU(3) quenched lattice QCD in both confined and deconfined phases. First, to investigate the direct…

High Energy Physics - Lattice · Physics 2014-03-24 Takumi Iritani , Hideo Suganuma

We examine the feasibility of the proposition that there is a temperature range T$_c$ < T < T$_{ch}$ in N$_f$=0 QCD, where real Polyakov line (deconfined) vacuum exhibits valence spontaneous chiral symetry breaking and dynamical chiral…

High Energy Physics - Lattice · Physics 2014-11-05 Andrei Alexandru , Ivan Horváth

In order to investigate the direct relation between confinement and chiral symmetry breaking in QCD, we investigate the Polyakov loop in terms of the Dirac eigenmodes in both confined and deconfined phases. Using the Dirac-mode expansion…

High Energy Physics - Lattice · Physics 2013-01-15 Takumi Iritani , Shinya Gongyo , Hideo Suganuma

We present results for the chiral and deconfinement transition of two flavor QCD at finite temperature and chemical potential. To this end we study the quark condensate and its dual, the dressed Polyakov loop, with functional methods using…

High Energy Physics - Phenomenology · Physics 2011-08-31 Christian S. Fischer , Jan Luecker , Jens A. Mueller

We perform SU(3) Lattice Gauge Theory simulations of the deconfinement transition attempting to mimic conditions encountered in heavy ion collisions. Specifically, we perform a sudden temperature quench across the deconfinement temperature,…

High Energy Physics - Phenomenology · Physics 2009-11-11 E. T. Tomboulis , A. Velytsky

We study the low eigenmodes of the overlap and staggered Dirac operator at high temperature. We show that the recently found localized quark modes obeying Poisson statistics are connected to physical gauge field objects with their size and…

High Energy Physics - Lattice · Physics 2011-12-02 Tamas G. Kovacs , Ferenc Pittler , Falk Bruckmann , Sebastian Schierenberg

The quark number density at finite imaginary chemical potential is investigated in the lattice QCD using the Dirac-mode expansion. We find the analytical formula of the quark number density in terms of the Polyakov loop in the large quark…

High Energy Physics - Lattice · Physics 2018-04-18 Takahiro M. Doi , Kouji Kashiwa

We discuss properties of local Polyakov loops in the deconfinement transition of SU(3) lattice gauge theory at finite temperature using the fixed scale approach. In particular we study spatial clusters where local Polyakov loops have phases…

High Energy Physics - Lattice · Physics 2013-11-01 Hans-Peter Schadler , Gergely Endrődi , Christof Gattringer

We discuss a possible mechanism leading to localisation of the low-lying Dirac eigenmodes in high-temperature lattice QCD, based on the spatial fluctuations of the local Polyakov lines in the partially ordered configurations above $T_c$.…

High Energy Physics - Lattice · Physics 2015-05-20 Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

At low temperature the low end of the QCD Dirac spectrum is well described by chiral random matrix theory. In contrast, at high temperature there is no similar statistical description of the spectrum. We show that at high temperature the…

High Energy Physics - Lattice · Physics 2010-11-11 Tamas G. Kovacs , Ferenc Pittler

We compute complete spectra of the staggered lattice Dirac operator for quenched SU(3) gauge configurations below and above the critical temperature. The confined and the deconfined phase are characterized by a different response of the…

High Energy Physics - Lattice · Physics 2008-11-26 Falk Bruckmann , Christof Gattringer , Christian Hagen

The first order transition between the confining and the center symmetry breaking phases of the SU(3) Yang-Mills theory is marked by discontinuities in various thermodynamics functions, such as the energy density or the value of the…

High Energy Physics - Lattice · Physics 2023-04-12 Sz. Borsanyi , Z. Fodor , D. A. Godzieba , R. Kara , P. Parotto , D. Sexty , R. Vig

There is a sharp increase in the relative number of degrees of freedom at the deconfining phase transition. Characterizing this increase using the Polyakov Loop model, we find that for a nearly second order deconfining phase transition, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Adrian Dumitru , Robert D. Pisarski

Chiral Random Matrix Theory has proven to describe the spectral properties of low temperature QCD very well. However, at temperatures above the chiral symmetry restoring transition it can not provide a global description. The level-spacing…

High Energy Physics - Lattice · Physics 2018-10-03 Lukas Holicki , Ernst-Michael Ilgenfritz , Lorenz von Smekal

We examine statistical fluctuation of eigenvalues from the near-edge bulk of QCD Dirac spectra above the critical temperature. For completeness we start by reviewing on the spectral property of Anderson tight-binding Hamiltonians as…

High Energy Physics - Lattice · Physics 2013-12-18 Shinsuke M. Nishigaki , Matteo Giordano , Tamas G. Kovacs , Ferenc Pittler

We investigate the QCD Dirac operator with gauge configurations given by a liquid of instantons in the region of temperatures about the chiral phase transition. Both the quenched and unquenched cases are examined in detail. We present…

High Energy Physics - Phenomenology · Physics 2008-11-26 Antonio M. Garcia-Garcia , James C. Osborn

The spectrum of low-lying eigenvalues of overlap Dirac operator in quenched SU(2) lattice gauge theory with tadpole-improved Symanzik action is studied at finite temperatures in the vicinity of the confinement-deconfinement phase transition…

High Energy Physics - Lattice · Physics 2008-11-26 P. V. Buividovich , E. V. Luschevskaya , M. I. Polikarpov

We discuss the effect of rigid rotation on the critical temperatures of deconfinement and chiral transitions in the linear sigma model coupled to quarks and the Polyakov loop. We point out the essential role of the causality condition,…

High Energy Physics - Phenomenology · Physics 2025-02-17 Pracheta Singha , Victor E. Ambrus , Maxim N. Chernodub

At low temperature in the epsilon regime of QCD the low-end of the Dirac spectrum is described by random matrix theory. In contrast, there has been no similarly well established staistical description in the high temperature, chirally…

High Energy Physics - Lattice · Physics 2010-11-16 Tamas G. Kovacs , Ferenc Pittler