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We construct a model to study the impact of instantons on the low lying eigenvalue spectrum of the Dirac operator. The model is by necessity, approximate, though it does incorporate the important symmetries of the underlying field theory.…

High Energy Physics - Lattice · Physics 2007-05-23 U. Sharan

We discuss the utility of low-lying Dirac eigenmodes for studying the nature of topological charge fluctuations in QCD. The implications of previous results using the local chirality histogram method are discussed, and the new results using…

High Energy Physics - Lattice · Physics 2008-11-26 S. J. Dong , T. Draper , I. Horvath , N. Isgur , F. X. Lee , J. McCune , J. B. Zhang , H. B. Thacker

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 study the relation between QCD-monopole condensation and dynamical chiral-symmetry breaking in the dual Ginzburg-Landau Theory, which realizes the color confinement due to the dual Meissner effect. Solving the Schwinger-Dyson equation at…

High Energy Physics - Phenomenology · Physics 2009-09-25 Shoichi Sasaki , Hideo Suganuma , Hiroshi Toki

Two crucial properties of QCD, confinement and chiral symmetry breaking, cannot be understood within the context of conventional Feynman perturbation theory. Non-perturbative phenomena enter the theory in a fundamental way at both the…

High Energy Physics - Lattice · Physics 2015-05-27 Michael Creutz

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 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

In a system where chiral symmetry is spontaneously broken, the low energy eigenmodes of the continuum Dirac operator are extended. On the lattice, due to discretization effects, the Dirac operator can have localized eigenmodes that affect…

High Energy Physics - Lattice · Physics 2008-11-26 Anna Hasenfratz , Roland Hoffmann , Stefan Schaefer

Topological phenomena in gauge theories have long been recognized as the driving force for chiral symmetry breaking and confinement. These phenomena can be conveniently investigated in the semi-classical picture, in which the topological…

High Energy Physics - Phenomenology · Physics 2013-04-17 Pietro Faccioli , Edward Shuryak

We study some interesting aspects of the spectral properties of SU(3) gauge theory, both with and without dynamical quarks (QCD) at thermal equilibrium using lattice gauge theory techniques. By calculating the eigenstates of a massless…

High Energy Physics - Lattice · Physics 2026-03-05 Harshit Pandey , Ravi Shanker , Sayantan Sharma

We show on the basis of an effective theory of QCD that a wide variety of observables in the hadron world is governed by the chiral symmetry together with an interplay between the axial anomaly and the explicit symmetry breaking due to the…

High Energy Physics - Phenomenology · Physics 2016-11-03 Teiji Kunihiro

We discuss the critical behaviour of strongly interacting matter close to the QCD phase transition. Emphasis is put on a presentation of results from lattice calculations that illustrate deconfining as well as chiral symmetry restoring…

High Energy Physics - Lattice · Physics 2009-09-25 Frithjof Karsch

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

In this paper we study the localization transition of Dirac eigenmodes in quenched QCD. We determined the temperature dependence of the mobility edge in the quark-gluon plasma phase near the deconfining critical temperature. We calculated…

High Energy Physics - Lattice · Physics 2018-11-06 Tamas G. Kovacs , Reka A. Vig

At zero temperature the lowest part of the spectrum of the QCD Dirac operator is known to consist of delocalized modes that are described by random matrix statistics. In the present paper we show that the nature of these eigenmodes changes…

High Energy Physics - Lattice · Physics 2013-05-30 Tamas G. Kovacs , Ferenc Pittler

We study the phase diagram of QCD with the help of order parameters for chiral symmetry breaking and quark confinement. We also introduce a new order parameter for the confinement phase transition, which is related to the quark density. It…

High Energy Physics - Phenomenology · Physics 2011-02-02 Jens Braun , Lisa M. Haas , Florian Marhauser , Jan M. Pawlowski

The temperature of the chiral restoration phase transition at 130 MeV as well as the temperature of the center symmetry ("deconfinement") phase transition in a pure glue theory at 300 MeV are two independent temperatures and their interplay…

High Energy Physics - Lattice · Physics 2021-08-19 L. Ya. Glozman , Y. Aoki , S. Hashimoto , C. Rohrhofer

Our aim is to give a self-contained review of recent advances in the analytic description of the deconfinement transition and determination of the deconfinement temperature in lattice QCD at large N. We also include some new results, as for…

High Energy Physics - Theory · Physics 2015-06-26 M. Billo' , M. Caselle , A. D'Adda , S. Panzeri

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

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
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