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We study spontaneous chiral symmetry breaking and the spectral properties of the staggered lattice Dirac operator using quenched gauge configurations for the exceptional group G2, which has a trivial center. In particular we study the…

High Energy Physics - Lattice · Physics 2009-01-16 Julia Danzer , Christof Gattringer , Axel Maas

In QCD with adjoint fermions (aQCD) the deconfining transition takes place at a lower temperature than the chiral transition. We study the two transitions by use of the Polyakov Loop, the monopole order parameter and the chiral condensate.…

High Energy Physics - Lattice · Physics 2008-11-26 G. Cossu , M. D'Elia , A. Di Giacomo , G. Lacagnina , C. Pica

Aiming at the link between confinement and chiral symmetry the Polyakov loop represented as a spectral sum of eigenvalues of the Dirac operator was subject of recent studies. We analyze the volume dependence as well as the continuum…

High Energy Physics - Lattice · Physics 2009-04-14 Wolfgang Söldner

We evaluate the Polyakov loop and string tension at zero and finite temperature in $QED_2.$ Using bozonization the problem is reduced to solving the Schr\"odinger equation with a particular potential determined by the ground state. In the…

High Energy Physics - Theory · Physics 2007-05-23 R. Rodriguez , Y. Hosotani , J. E. Hetrick , S. Iso

We study quenched SU(2) lattice gauge theory with adjoint fermions in a wide range of temperatures. We focus on spectral quantities of the Dirac operator and use the temporal fermionic boundary conditions as a tool to probe the system. We…

High Energy Physics - Lattice · Physics 2009-11-13 Erek Bilgici , Christof Gattringer , Ernst-Michael Ilgenfritz , Axel Maas

The crossover from hadronic to quark matter is understood to be both a deconfinement as well as a chiral symmetry restoring transition. Here, we study observables related to both aspects using lattice simulations: the Polyakov loop and its…

High Energy Physics - Lattice · Physics 2024-05-22 Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pasztor , Ludovica Pirelli , Chik Him Wong

We study quenched QCD just above the phase transition temperature using overlap Fermions. Exact zero modes of the overlap operator are localized. Chiral symmetry is restored, as indicated by the behavior of the chiral condensate after…

High Energy Physics - Lattice · Physics 2015-06-25 R. V. Gavai , Sourendu Gupta , R. Lacaze

By introducing the dressed Polayakov loop or dual chiral condensate as a candidate order parameter to describe the deconfinement phase transition for light flavors, we discuss the interplay between the chiral and deconfinement phase…

High Energy Physics - Phenomenology · Physics 2017-11-22 Fukun Xu , Mei Huang

I review recent progress in numerical simulations of finite temperature quantum chromodynamics and discuss the status of some outstanding problems. Included is (1) a discussion of recent results determining the temperature of the ``phase…

High Energy Physics - Lattice · Physics 2008-11-26 C. DeTar

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 construct an effective model for the chiral field and the Polyakov loop in which we can investigate the interplay between the approximate chiral symmetry restoration and the deconfinement of color in a thermal SU(3) gauge theory with…

High Energy Physics - Phenomenology · Physics 2011-08-04 Eduardo Fraga , Agnes Mocsy

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…

High Energy Physics - Lattice · Physics 2009-10-31 S. Digal , E. Laermann , H. Satz

This is a review of strong coupling approaches to grasp the nature of the phase transition in finite temperature and density QCD. We commence with classics of the center symmetry and the Polyakov loop in pure gauge theories. The effective…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kenji Fukushima

We use the linear sigma model coupled to quarks, together with a plausible location of the critical end point (CEP), to study the chiral symmetry transition in the QCD phase diagram. We compute the effective potential at finite temperature…

High Energy Physics - Phenomenology · Physics 2017-08-02 Alejandro Ayala , Jorge David Castano-Yepes , J. J. Cobos-Martinez , Saul Hernandez-Ortiz , Ana Julia Mizher , Alfredo Raya

Searching of the critical endpoint of the phase transition of Quantum Chromodynamics~(QCD) matter in experiments is of great interest. The temperature in the fireball of a collider is location dependent, however, most theoretical studies…

High Energy Physics - Lattice · Physics 2024-10-25 Ji-Chong Yang , Wen-Wen Li , Chong-Xing Yue

Out of the many exciting results obtained with the lattice approach to QCD under extreme conditions, I discuss a few selected items related to chiral symmetry: the chiral condensate as an approximate order parameter, meson screening masses,…

High Energy Physics - Lattice · Physics 2022-10-14 Gert Aarts

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

We investigate the realization of chiral symmetry in the vicinity of the deconfinement transition in quenched QCD using overlap fermions. Via the index theorem obeyed by the overlap fermions, we gain insight into the behavior of topology at…

High Energy Physics - Lattice · Physics 2015-06-25 Robert G. Edwards , Urs M. Heller , Joe Kiskis , Rajamani Narayanan

The phase diagram of two-color QCD with non-zero chiral chemical potential is studied by means of lattice simulation. We focus on the influence of a chiral chemical potential on the confinement/deconfinement phase transition and the…

High Energy Physics - Lattice · Physics 2015-03-24 V. V. Braguta , V. A. Goy , E. -M. Ilgenfritz , A. Yu. Kotov , A. V. Molochkov , M. Muller-Preussker , B. Petersson

The chiral phase transition of the quark sector of QCD is investigated within the Hamiltonian approach in Coulomb gauge. Finite temperatures $T$ are introduced by compactifying one spatial dimension, which makes all thermodynamical…

High Energy Physics - Phenomenology · Physics 2018-10-19 Ehsan Ebadati , Hugo Reinhardt , Peter Vastag