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Related papers: Dirac-mode expansion analysis for Polyakov loop

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In the deconfinement phase of quenched SU(2) Yang-Mills theory the spectrum and localization properties of the eigenmodes of the overlap Dirac operator with antiperiodic boundary conditions are strongly dependent on the sign of the average…

High Energy Physics - Lattice · Physics 2009-11-13 V. G. Bornyakov , E. -M. Ilgenfritz , B. V. Martemyanov , M. Muller-Preussker

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

We study the effect of rotation on the confining and chiral properties of QCD using the Polyakov-enhanced linear sigma model coupled to quarks. Working in the homogeneous approximation, we obtain the phase diagram at finite temperature,…

Nuclear Theory · Physics 2026-04-15 Pracheta Singha , Sergiu Busuioc , Victor E. Ambrus , Maxim N. Chernodub

In this talk we first overview lattice results that have led to the observation of new SU(2)_{CS} and SU(2N_F) symmetries upon artificial truncation of the near-zero modes of the Dirac operator at zero temperature and at high temperature…

High Energy Physics - Lattice · Physics 2018-08-29 L. Ya. Glozman

We investigate and compute spectral sums of the Wilson lattice Dirac operator for quenched SU(3) gauge theory. It is demonstrated that there exist sums which serve as order parameters for the confinement-deconfinement phase transition and…

High Energy Physics - Lattice · Physics 2008-11-26 Franziska Synatschke , Andreas Wipf , Christian Wozar

The appearance of a new phase of QCD, Quarkyonic Matter in the limit of large number of colors is studied within Nambu-Jona-Lassinio effective chiral model coupled to the Polyakov loop. The interplay of this novel QCD phase with chiral…

High Energy Physics - Phenomenology · Physics 2010-04-14 L. McLerran , K. Redlich , C. Sasaki

The chiral condensate and dressed Polyakov loop at finite temperature and density have been investigated in the framework of Nf = 2+1 Nambu-Jona-Lasinio (NJL) model with two degenerate u, d quarks and one strange quark. In the case of…

High Energy Physics - Phenomenology · Physics 2015-05-27 Fukun Xu , Hong Mao , Tamal K. Mukherjee , Mei Huang

In an extension of the Nambu-Jona-Lasinio model where the quarks interact with the temporal gluon field, represented by the Polyakov loop, we explore the relation between the deconfinement and chiral phase transitions. The effect of…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

In preparation of lattice studies of the two-color QCD phase diagram we study chiral restoration and deconfinement at finite temperature with two flavors of staggered quarks using an RHMC algorithm on GPUs. We first study unquenching…

High Energy Physics - Lattice · Physics 2013-11-19 David Scheffler , Christian Schmidt , Dominik Smith , Lorenz von Smekal

We study the problems of deconfinement, chiral symmetry restoration and localisation of the low Dirac eigenmodes in a toy model of QCD, namely unimproved staggered fermions on lattices of temporal extension $N_T=4$. This model displays a…

High Energy Physics - Lattice · Physics 2017-03-08 Matteo Giordano , Sandor D. Katz , Tamas G. Kovacs , Ferenc Pittler

For the $Z_{3}$-symmetric lattice QCD-like theory ($Z_3$-QCD), in which $SU(3)$ gauge theory is coupled with three fundamental Wilson quarks with flavor-dependent twisted boundary conditions, we calculate the expectation values of Polyakov…

High Energy Physics - Lattice · Physics 2015-10-27 Tatsuhiro Misumi , Takumi Iritani , Etsuko Itou

We study confinement and deconfinement in dense two color QCD by analyzing the dynamics of thermal quarks and gluons. The Polyakov loop is used as a probe of the relevant thermal excitations, distinguishing quark and hadron dominated…

High Energy Physics - Phenomenology · Physics 2025-11-21 Yugo Kurebayashi , Toru Kojo , Daiki Suenaga

We propose a QCD-like theory with the ZNc symmetry. The flavor-dependent twisted boundary condition (TBC) is imposed on Nc degenerate flavor quarksin the SU(Nc) gauge theory. The QCD-like theory is useful to understand the mechanism of…

High Energy Physics - Phenomenology · Physics 2012-04-13 Hiroaki Kouno , Yuji Sakai , Takahiro Makiyama , Kouhei Tokunaga , Takahiro Sasaki , Masanobu Yahiro

We report on the first steps of an ongoing project to add gauge observables and gauge corrections to the well-studied strong coupling limit of staggered lattice QCD, which has been shown earlier to be amenable to numerical simulations by…

High Energy Physics - Lattice · Physics 2015-03-19 Philippe de Forcrand , Michael Fromm , Jens Langelage , Kotaroh Miura , Owe Philipsen , Wolfgang Unger

The occurrence of spontaneous chiral symmetry breaking (SChSB) is equivalent to sufficient abundance of Dirac near-zeromodes. However, dynamical mechanism leading to breakdown of chiral symmetry should be naturally reflected in chiral…

High Energy Physics - Lattice · Physics 2013-05-09 Andrei Alexandru , Ivan Horvath

Low-lying Dirac modes become localized at the finite-temperature transition in QCD and other gauge theories, indicating a strong connection between localization and deconfinement. This phenomenon can be understood through the "sea/islands"…

High Energy Physics - Lattice · Physics 2025-01-24 György Baranka , Matteo Giordano

We discuss the relation between the Polyakov loop and the chiral order parameter at finite temperature. For that purpose we analyse an effective model proposed by Gocksch and Ogilvie, which is constructed by the double expansion of strong…

High Energy Physics - Phenomenology · Physics 2009-11-07 Kenji Fukushima

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

I discuss recent results on the relation between the localisation of low-lying Dirac eigenmodes, the restoration of chiral symmetry, and deconfinement in QCD and QCD-like models, providing evidence of a close connection between the three…

High Energy Physics - Lattice · Physics 2019-02-26 Matteo Giordano

We study the interplay between the chiral and the deconfinement transitions, both at high temperature and high quark chemical potential, by a non local Nambu-Jona Lasinio model with the Polyakov loop in the mean field approximation and…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Abuki , R. Anglani , R. Gatto , G. Nardulli , M. Ruggieri
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