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The nature of the finite temperature phase transition of QCD depends on the particle density and the mass of the dynamical quarks. We discuss the properties of the phase transition at high density, considering an effective theory describing…

High Energy Physics - Lattice · Physics 2026-04-23 Shinji Ejiri , Masanari Koiida

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

We discuss the phase structure and thermodynamics of QCD by means of dynamical chiral effective models. Quark and meson fluctuations are included via the functional renormalization group. We study the influence of confinement in addition to…

High Energy Physics - Phenomenology · Physics 2013-07-18 Tina K. Herbst , Jan M. Pawlowski , Bernd-Jochen Schaefer

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 consider the (3+1) dimensional expansion and cooling of the chirally-restored and deconfined matter at finite net-baryon densities as expected in heavy-ion collisions at moderate energies. In our approach, we consider chiral fields and…

Nuclear Theory · Physics 2014-07-23 Christoph Herold , Marlene Nahrgang , Igor Mishustin , Marcus Bleicher

In an approach inspired by Polyakov loop extended NJL models, we present a nonlinear hadronic SU(3) sigma-omega mean field model augmented by quark degrees of freedom. By introducing the effective Polyakov loop related scalar field \Phi and…

High Energy Physics - Phenomenology · Physics 2013-06-24 P. Rau , J. Steinheimer , S. Schramm , H. Stöcker

In this proceedings we summarize our calculation of the phase diagram of QCD at non-zero temperature and chemical potential on S^1 x S^3 from one-loop perturbation theory [1], which is valid in the limit R << 1/Lambda, where R is the radius…

High Energy Physics - Lattice · Physics 2010-12-02 Simon Hands , Timothy J. Hollowood , Joyce C. Myers

To clarify the relation between confinement and chiral symmetry breaking in QCD, we consider a temporally odd-number lattice, with the temporal lattice size $N_t$ being odd. We here use an ordinary square lattice with the normal…

High Energy Physics - Lattice · Physics 2014-05-06 Hideo Suganuma , Takahiro M. Doi , Takumu Iritani

The properties and consequences of complex saddle points are explored in phenomenological models of QCD at non-zero temperature and density. Such saddle points are a consequence of the sign problem, and should be considered in both…

High Energy Physics - Phenomenology · Physics 2015-03-11 Hiromichi Nishimura , Michael C. Ogilvie , Kamal Pangeni

We investigate temperature fluctuations in hot QCD matter using a 3-flavor Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model. The high-order cumulant ratios $R_{n2}$ ($n>2$) exhibit non-monotonic variations across the chiral phase…

Nuclear Theory · Physics 2026-04-23 He Liu , Peng Wu , Hong-Ming Liu , Peng-Cheng Chu

We investigate the phase structure of strongly interacting matter and baryon number fluctuations in the Polyakov loop improved Nambu--Jona-Lasinio (PNJL) model. The calculation shows that both the chiral and deconfinement transitions, as…

High Energy Physics - Phenomenology · Physics 2017-08-29 Guo-yun Shao , Zhan-duo Tang , Xue-yan Gao , Wei-bo He

The Polyakov loop extended Nambu and Jona-Lasinio model (PNJL model) in a mean field framework shows astonishingly good agreement with lattice QCD calculations which needs to be better understood. The present work reports on further…

High Energy Physics - Phenomenology · Physics 2009-01-01 Simon Roessner , Thomas Hell , Claudia Ratti , Wolfram Weise

We report progress towards computing the heavy quark momentum diffusion coefficient from the correlator of two chromo-electric fields attached to a Polyakov loop in pure SU(3) gauge theory. Using a multilevel algorithm and tree-level…

High Energy Physics - Lattice · Physics 2020-11-11 Nora Brambilla , Viljami Leino , Peter Petreczky , Antonio Vairo

We derive an analytical gauge-invariant formula between the Polyakov loop $L_P$ and the Dirac eigenvalues $\lambda_n$ in QCD, i.e., $L_P \propto \sum_n \lambda_n^{N_t -1} \langle n|\hat U_4|n \rangle$, in ordinary periodic square lattice…

High Energy Physics - Lattice · Physics 2016-01-27 Hideo Suganuma , Takahiro M. Doi , Takumi Iritani

The effect of restricting the plaquette to be greater than a certain cutoff value is studied. The action considered is the standard Wilson action with the addition of a plaquette restriction, which should not affect the continuum limit of…

High Energy Physics - Lattice · Physics 2009-10-28 Michael Grady

I report on recent results obtained within the Hamiltonian approach to QCD in Coulomb gauge. Furthermore this approach is compared to recent lattice data, which were obtained by an alternative gauge fixing method and which show an improved…

High Energy Physics - Theory · Physics 2017-06-12 H. Reinhardt , G. Burgio , D. Campagnari , E. Ebadati , J. Heffner , M. Quandt , P. Vastag , H. Vogt

QCD with two flavours of massless colour-sextet quarks is considered as a model for conformal/walking Technicolor. If this theory possess an infrared fixed point, as indicated by 2-loop perturbation theory, it is a conformal(unparticle)…

High Energy Physics - Lattice · Physics 2014-11-20 J. B. Kogut , D. K. Sinclair

We investigate the contribution from each Dirac modes to the Polyakov loop based on a gauge-invariant analytical relation connecting the Polyakov loop and the Dirac modes on a temporally odd-number lattice, where the temporal lattice size…

High Energy Physics - Lattice · Physics 2014-01-27 Takahiro M. Doi , Hideo Suganuma , Takumi Iritani

In this work we examine possible effects of an external magnetic field in the strongly interacting matter phase diagram. The study is performed using the Polyakov-Nambu-Jona-Lasinio model. Possible consequences of the inverse magnetic…

High Energy Physics - Phenomenology · Physics 2022-09-21 Pedro Costa , Márcio Ferreira , Constança Providência

We discuss the quenched limit of lattice QCD at non-zero baryon number density. We find evidence for a mixed phase that becomes broader with increasing baryon number. Although the action is explicitly Z(3) symmetric the Polyakov loop…

High Energy Physics - Lattice · Physics 2007-05-23 O. Kaczmarek , with J. Engels , F. Karsch , E. Laermann