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Several lattice calculations which probe the chiral and topological structure of QCD are discussed. The results focus attention on the low-lying eigenmodes of the Dirac operator in typical gauge field configurations.

High Energy Physics - Lattice · Physics 2009-10-31 H. B. Thacker

The deconfinement and chiral phase transitions are studied in the context of the electrized quark matter at finite temperature in the two-flavor Polyakov-Nambu--Jona-Lasinio model. Using the mean field approximation and an electric field…

High Energy Physics - Phenomenology · Physics 2020-02-14 William R. Tavares , Ricardo L. S. Farias , Sidney S. Avancini

Using the overlap-Dirac eigenmodes, we study the spatial distribution of the chiral condensate around static color sources in lattice QCD. Between the color sources, there appears a color-flux tube, which leads a linear confining potential.…

High Energy Physics - Lattice · Physics 2014-01-20 Takumi Iritani , Guido Cossu , Shoji Hashimoto

In the previous work, we have shown that the SU(2) chiral symmetry recovered above the critical temperature gives a strong constraint on the Dirac eigenvalue spectrum and this constraint is strong enough for a set of anomalous U(1) chiral…

High Energy Physics - Lattice · Physics 2013-12-06 Sinya Aoki , Hidenori Fukaya , Yusuke Taniguchi

We present some results about the interplay between the chiral and deconfinement phase transitions in parity-conserving QED3 (with N flavours of massless 4 component fermions) at finite temperature. Following Grignani et al (Phys. Rev. D53,…

High Energy Physics - Theory · Physics 2009-10-31 I. J. R. Aitchison , C. D. Fosco

We study the impact of steady, homogeneous, and external parallel electric and magnetic field strength ($eE\parallel eB$), on the chiral symmetry breaking-restoration and confinement-deconfinement phase transitions. We also sketch the phase…

High Energy Physics - Phenomenology · Physics 2021-09-01 Aftab Ahmad

We investigate the connection between localization of low-lying Dirac modes and Polyakov-loop ordering in the lattice $\mathrm{SU}(2)$ Higgs model at finite temperature, probed with the staggered Dirac operator. After mapping out the phase…

High Energy Physics - Lattice · Physics 2024-03-13 György Baranka , Matteo Giordano

We study properties of the zero and near-zero eigenmodes of the overlap Dirac operator in compact U(1) gauge theory. In the confinement phase the exact zero-modes are localized as found by studying the values of the inverse participation…

High Energy Physics - Lattice · Physics 2008-11-26 Thomas Drescher , C. B. Lang

By using the dressed Polyakov loop or dual chiral condensate as an equivalent order parameter of the deconfinement phase transition, we investigate the relation between the chiral and deconfinement phase transitions at finite temperature…

High Energy Physics - Phenomenology · Physics 2017-08-23 Fukun Xu , Tamal K. Mukherjee , Huan Chen , Mei Huang

The low energy eigenmodes of the continuum QCD Dirac operator are extended, but on the lattice, due to discretization effects, the Dirac operator can have localized eigenmodes. These non-physical modes can introduce strong lattice artifacts…

High Energy Physics - Lattice · Physics 2009-04-14 Anna Hasenfratz , Roland Hoffmann , Stefan Schaefer

Motivated by quantum quenches in spin chains, a one-dimensional toy-model of fermionic particles evolving in imaginary-time from a domain-wall initial state is solved. The main interest of this toy-model is that it exhibits the arctic…

Statistical Mechanics · Physics 2016-06-10 Nicolas Allegra , Jérôme Dubail , Jean-Marie Stéphan , Jacopo Viti

The phase transitions characterized by deconfinement and restoration of chiral symmetry as well as the restoration of axial symmetry, at finite temperature, are investigated in the framework of SU(2) Polyakov-Nambu-Jona-Lasinio (PNJL)…

High Energy Physics - Phenomenology · Physics 2015-08-10 M. C. Ruivo , Pedro Costa , C. A. de Sousa

We consider topological order and dimer order in several frustrated spin ladder models, which are related to higher dimensional models of current interest; we also address the occurrence of fractionalized phases with deconfined spinon…

Strongly Correlated Electrons · Physics 2009-11-13 Eugene H. Kim , Ö. Legeza , J. Sólyom

We use lattice QCD simulations to test some of the predictions of proposed AdS/QCD (holographic) duals for QCD. In particular, these duals predict that the scale of chiral symmetry breaking ($\chi$SB) can be varied independently from that…

High Energy Physics - Lattice · Physics 2010-01-21 D. K. Sinclair

We draw an analogy between the deconfining transition in the 2+1 dimensional Georgi-Glashow model and the chiral phase transition in 3+1 dimensional QCD. Based on the detailed analysis of the former (hep-th/0010201) we suggest that the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Ian I. Kogan , Alex Kovner , Bayram Tekin

We develop a manifestly gauge-covariant expansion and projection using the eigen-mode of the QCD Dirac operator. Applying this method to the Wilson loop and the Polyakov loop, we perform a direct analysis of the correlation between…

High Energy Physics - Lattice · Physics 2012-10-31 H. Suganuma , S. Gongyo , T. Iritani

The topological Lifshitz phase transition is studied systematically within an effective model of QCD, in which the chiral symmetry, broken at zero temperature, is not restored at high temperature and/or baryon chemical potential. It is…

High Energy Physics - Phenomenology · Physics 2013-12-02 Tran Huu Phat , Phung Thi Thu Ha , Nguyen Tuan Anh

We illustrate why color deconfines when chiral symmetry is restored in gauge theories with quarks in the fundamental representation, and while these transitions do not need to coincide when quarks are in the adjoint representation,…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Mocsy , F. Sannino , K. Tuominen

We investigate both the chiral and deconfinement phase transitions of QCD matter in a refined scheme of Dyson-Schwinger equations, which have been shown to be successful in giving the meson mass spectrum and matching the interaction with…

High Energy Physics - Phenomenology · Physics 2016-11-09 Fei Gao , Yu-xin Liu

We study QCD with 2 colour-sextet quarks as a model for walking Technicolor, using lattice gauge theory simulations (RHMC) at finite temperature. Our goal is to determine if the massless theory is QCD-like (confining, with…

High Energy Physics - Lattice · Physics 2012-11-06 D. K. Sinclair , J. B. Kogut
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