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The Polyakov loop expectation value $\langle P\rangle$ is an order parameter of the deconfinement transition in the heavy quark mass regime, whereas its sensitivity to the deconfinement of light, dynamical quarks is not apparent. From the…

High Energy Physics - Lattice · Physics 2023-07-17 David Anthony Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Mugdha Sarkar

While the Polyakov loop is an order parameter of the deconfinement transition in the heavy quark mass regime of QCD, its sensitivity to the deconfinement of light, dynamical quarks in QCD is not apparent. On the other hand, the quark mass…

High Energy Physics - Lattice · Physics 2021-02-08 David Anthony Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Mugdha Sarkar

A nonlocal covariant extension of the two-flavor Nambu and Jona-Lasinio (NJL) model is constructed, with built-in constraints from the running coupling of QCD at high-momentum and instanton physics at low-momentum scales. Chiral low-energy…

High Energy Physics - Phenomenology · Physics 2010-04-15 T. Hell , S. Roessner , M. Cristoforetti , W. Weise

We propose that in QCD with dynamical quarks, colour deconfinement occurs when an external field induced by the chiral condensate strongly aligns the Polyakov loop. This effect sets in at the chiral symmetry restoration temperature T-chi…

High Energy Physics - Phenomenology · Physics 2009-01-07 S. Digal , E. Laermann , H. Satz

We study the dressing of four-quark interaction by the ring diagram, and its feeding back to the quark gap equation, in an effective chiral quark model. Implementing such an in-medium coupling naturally reduces the chiral transition…

High Energy Physics - Phenomenology · Physics 2022-09-22 Pok Man Lo , Michał Szymański , Krzysztof Redlich , Chihiro Sasaki

We analyze the consequences of the inclusion of the gluonic Polyakov loop in chiral quark models at finite temperature. Specifically, the low-energy effective chiral Lagrangian from two such quark models is computed. The tree level vacuum…

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

We couple the two-flavor Nambu--Jona-Lasinio model to a gluonic background corresponding to the gauge-field expectation value in the center-symmetric Landau gauge. Low-energy features in this gauge are captured by a center-symmetric…

High Energy Physics - Phenomenology · Physics 2026-01-23 V. Tomas Mari Surkau , Urko Reinosa

The behavior of the quark condensates at zero chemical potential and finite temperature subject to an external magnetic field is studied within the three flavor Nambu--Jona-Lasinio model with Polyakov loop (PNJL) and its extension, the…

High Energy Physics - Phenomenology · Physics 2014-01-10 Márcio Ferreira , Pedro Costa , Débora P. Menezes , Constança Providência , Norberto Scoccola

We consider how does the introduction of a Polyakov loop affects the spatially inhomogeneous quark condensate. The primary result of our work is that the existence of the spatially non-uniform chiral phase is confirmed within the Polyakov…

High Energy Physics - Phenomenology · Physics 2010-06-01 Tomasz L. Partyka

Motivated by recent work on inverse magnetic catalysis at finite temperature, we study the quark-meson model using both dimensional regularization and a sharp cutoff. We calculate the critical temperature for the chiral transition as a…

High Energy Physics - Phenomenology · Physics 2015-06-23 Jens O. Andersen , William R. Naylor , Anders Tranberg

We study the relation between quark confinement and chiral symmetry breaking in QCD. Using lattice QCD formalism, we analytically express the various "confinement indicators", such as the Polyakov loop, its fluctuations, the Wilson loop,…

High Energy Physics - Lattice · Physics 2017-11-03 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki

In the lattice QCD formalism, we derive a gauge-invariant analytical relation connecting the Polyakov loop and the Dirac modes on a temporally odd-number lattice, where the temporal lattice size is odd, with the normal (nontwisted) periodic…

High Energy Physics - Lattice · Physics 2013-11-20 Takahiro M. Doi , Hideo Suganuma , Takumi Iritani

We review the current status of the research on effective nonlocal NJL-like chiral quark models with separable interactions, focusing on the application of this approach to the description of the properties of hadronic and quark matter…

High Energy Physics - Phenomenology · Physics 2021-01-26 D. Gomez Dumm , J. P. Carlomagno , N. N. Scoccola

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

In the lattice QCD formalism, we investigate the relation between confinement and chiral symmetry breaking. A gauge-invariant analytical relation connecting the Polyakov loop and the Dirac modes is derived on a temporally odd-number…

High Energy Physics - Lattice · Physics 2014-11-19 Takahiro M. Doi , Hideo Suganuma , Takumi Iritani

We investigate chiral and deconfinement transitions in the framework of the strong coupling lattice QCD for color SU(3) with one species of unrooted staggered fermion at finite temperature and quark chemical potential. We take account of…

High Energy Physics - Lattice · Physics 2011-02-28 Takashi Z. Nakano , Kohtaroh Miura , Akira Ohnishi

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 study the behavior of strongly interacting matter under a strong external magnetic field in the context of chiral quark models that include nonlocal interactions. In particular, we analyze the influence of a constant magnetic field on…

High Energy Physics - Phenomenology · Physics 2018-07-19 D. Gómez Dumm , M. F. Izzo Villafañe , S. Noguera , V. Pagura , N. N. Scoccola

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 Polyakov loop and the Dirac modes are connected via a simple analytical relation on the temporally odd-number lattice, where the temporal lattice size is odd with the normal (nontwisted) periodic boundary condition. Using this relation,…

High Energy Physics - Lattice · Physics 2014-12-02 Takahiro M. Doi , Hideo Suganuma , Takumi Iritani