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We demonstrate a novel feature of certain phase transitions in theories with large rank symmetry group that exhibit specific types of non-local interactions. A typical example of such a theory is a large-$N$ gauge theory where by `non-local…

High Energy Physics - Theory · Physics 2020-11-18 Masanori Hanada , Brandon Robinson

The review of vacuum and matter restructuring in space-time with boundaries is presented. We consider phase properties of confining gauge theories and strongly interacting fermion systems. In particular, the chiral and deconfinement phase…

High Energy Physics - Theory · Physics 2022-08-09 Alexander Molochkov

We investigate finite-size effects on chiral symmetry breaking in a four-fermion interaction model at a finite temperature and a chemical potential. Applying the imaginary time formalism, the thermal quantum field theory is constructed on…

High Energy Physics - Phenomenology · Physics 2022-03-14 Tomohiro Inagaki , Yamato Matsuo , Hiromu Shimoji

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst

We analytically study the relation between quark confinement and spontaneous chiral-symmetry breaking in QCD. In terms of the Dirac eigenmodes, we derive some formulae for the Polyakov loop, its fluctuations, and the string tension from the…

High Energy Physics - Theory · Physics 2017-04-05 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki

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

Some recent theoretical developments of the QCD phase diagram are summarized. Chiral symmetry restoration and the confinement/deconfinement transition at nonzero temperature and quark densities are analyzed in the framework of an effective…

High Energy Physics - Phenomenology · Physics 2012-11-08 Bernd-Jochen Schaefer , Mathias Wagner

We construct an effective model for the QCD equation of state, taking into account chiral symmetry restoration as well as the deconfinement phase transition. The correct asymptotic degrees of freedom at the high and low temperature limits…

High Energy Physics - Phenomenology · Physics 2011-01-28 J. Steinheimer , S. Schramm , H. Stöcker

Chiral symmetry breaking is calculated as a function of cooling in quenched lattice QCD. A non-zero signal is found for the chiral condensate beyond one hundred cooling steps, suggesting that there is chiral symmetry breaking associated…

High Energy Physics - Lattice · Physics 2009-10-28 R. M. Woloshyn , F. X. Lee

The symmetry breaking pattern of QCD features two seemingly disconnected phenomena: the spontaneous breakdown of the Z(3) center symmetry in the deconfinement transition of pure-gauge QCD, and the spontaneous breaking of chiral…

High Energy Physics - Phenomenology · Physics 2014-11-20 Wolfram Weise

With proper profiles of the scalar potential and the dilaton field, for the first time, the spontaneous chiral symmetry breaking in the vacuum and its restoration at finite temperature are correctly realized in the holographic QCD…

High Energy Physics - Phenomenology · Physics 2016-05-11 Kaddour Chelabi , Zhen Fang , Mei Huang , Danning Li , Yue-Liang Wu

We discuss a new type of QCD phenomenon induced in curved space. In the QCD vacuum, a mass-gap of Dirac fermions is attributed to the spontaneous breaking of chiral symmetry. If the curvature is positive large, the chiral condensate melts…

High Energy Physics - Theory · Physics 2015-06-01 Antonino Flachi , Kenji Fukushima

We generalize our previous model to an O(N) symmetric two-dimensional model which possesses chiral symmetry breaking and superconducting (Cooper pair condensates) phases at large-N. At zero temperature and density, the model can be solved…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alan Chodos , Fred Cooper , Wenjin Mao , Hisakazu Minakata , Anupam Singh

The nature of the thermal phase transition of two flavor QCD in the chiral limit has an important implication for the QCD phase diagram. We carry out lattice QCD simulations in an attempt to address this problem. Simulations are conducted…

High Energy Physics - Lattice · Physics 2018-07-04 Liang-Kai Wu , Fa-Ling Zhang

In this work we investigate the finite-size effects on the phase structure of a two-flavor four-fermion interaction model with a flavor-mixing four-body interaction and in the presence of a magnetic background, taking into account different…

High Energy Physics - Phenomenology · Physics 2021-03-11 L. M. Abreu , E. B. S. Corrêa , E. S. Nery

In this work we present the results from numerical simulations of an interacting ensemble of instanton-dyons in the $SU(3)$ gauge group with $N_f=2$ flavors of massless quarks. Dynamical quarks are included via the effective interactions…

High Energy Physics - Phenomenology · Physics 2021-12-01 Dallas DeMartini , Edward Shuryak

In this paper we describe qualitatively some aspects of the holographic QCD. Inspired by a successfull 4D description, we try to separate the Confinement and the Chiral Symmetry Breaking dynamics. We also discuss the realization of the…

High Energy Physics - Phenomenology · Physics 2009-12-23 Jacopo Bechi

We investigate an influence of an external magnetic field on chiral symmetry breaking in a four-fermion interaction model at finite temperature and chemical potential. By using the Fock-Schwinger proper-time method, we calculate the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Tomohiro Inagaki , Daiji Kimura , Tsukasa Murata

The domain wall fermion formulation exhibits full chiral symmetry for finite lattice spacing except for the effects of mixing between the domain walls. Close to the continuum limit these symmetry breaking effects should be described by a…

High Energy Physics - Lattice · Physics 2016-09-01 Lingling Wu

We study QCD with two flavours of colour-sextet quarks as a candidate walking-Technicolor theory. We simulate lattice QCD with two flavours of colour-sextet staggered quarks at finite temperatures to observe the scales of confinement and…

High Energy Physics - Lattice · Physics 2010-11-05 D. K. Sinclair , J. B. Kogut