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Related papers: Polyakov loops and monopoles in QCD

200 papers

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

I review the deconfining phase transition in an SU(N) gauge theory without quarks. After computing the interface tension between Z(N) degenerate vacua deep in the deconfined phase, I follow Giovannangeli and Korthals Altes, and suggest a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert D. Pisarski

The critical properties of the abelian Polyakov loop and the Polyakov loop in terms of Dirac string are studied in finite temperature abelian projected $SU(2)$ QCD. We evaluate the critical point and the critical exponents from each…

High Energy Physics - Lattice · Physics 2019-08-17 Shinji Ejiri , Shun-ichi Kitahara , Tsuneo Suzuki , Koji Yasuta

We study interplay between confinement/deconfinement and chiral properties. We derive some analytical relations of the Dirac modes with the confinement quantities, such as the Polyakov loop, its susceptibility and the string tension. For…

High Energy Physics - Lattice · Physics 2017-12-13 Hideo Suganuma , Takahiro M. Doi , Krzysztof Redlich , Chihiro Sasaki

The Polyakov loop and the chiral condensate are used as order parameters to explore analytically the possible phase structure of finite temperature QCD. Nambu-Jona-Lasinio models in a background temporal gauge field are combined with a…

High Energy Physics - Lattice · Physics 2009-10-28 Peter N. Meisinger , Michael C. Ogilvie

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

To clarify the relation between chiral symmetry breaking and color confinement, we investigate the Polyakov loop in terms of the Dirac eigenmodes in SU(3) lattice QCD. We analyze the low-lying (IR) and UV Dirac-mode contribution to the…

High Energy Physics - Lattice · Physics 2012-10-31 Takumi Iritani , Shinya Gongyo , Hideo Suganuma

We find that Polyakov lines, computed in abelian-projected SU(2) lattice gauge theory in the confined phase, have finite expectation values for lines corresponding to two units of the abelian electric charge. This means that the…

High Energy Physics - Lattice · Physics 2016-09-01 J. Ambjorn , J. Giedt , J. Greensite

We study the relation between quark confinement and spontaneous chiral-symmetry breaking directly in QCD. In lattice QCD formalism, we derive an analytical gauge-invariant relation between the Polyakov loop $\langle L_P \rangle$ and the…

High Energy Physics - Lattice · Physics 2014-01-20 Hideo Suganuma , Takahiro M. Doi , Takumi Iritani

The Polyakov loop is the appropriate deconfinement order parameter for Yang-Mills theories without quarks or with quarks in the adjoint representation of the gauge group. However it is not a physical state of the theory so the information…

High Energy Physics - Phenomenology · Physics 2007-05-23 Agnes Mocsy , Francesco Sannino , Kimmo Tuominen

This is the short review of Monte-Carlo studies of quark confinement in lattice QCD. After abelian projections both in the maximally abelian and Polyakov gauges, it is seen that the monopole part alone is responsible for confinement. A…

High Energy Physics - Lattice · Physics 2016-11-03 Tsuneo Suzuki

We studied a crucial but often oversimplified ingredient in predicting gravitational-wave signals from QCD-type phase transitions: the kinetic term of the Polyakov loop. For the first time, we derive this term from first principles in…

High Energy Physics - Phenomenology · Physics 2026-03-31 Banghui Hua , Jiang Zhu

We present results of $SU(3)$ Monte-Carlo studies of a new color confinement scheme due to Abelian-like monopoles of the Dirac type without any gauge-fixing. We get (1) perfect Abelian dominance with respect to the static potentials on…

High Energy Physics - Lattice · Physics 2021-12-07 Tsuneo Suzuki , Atsuki Hiraguchi , Katsuya Ishiguro

Motivated by the picture of partial deconfinement developed in recent years for large-$N$ gauge theories, we propose a new way of analyzing and understanding thermal phase transition in QCD. We find nontrivial support for our proposal by…

High Energy Physics - Theory · Physics 2024-05-01 Masanori Hanada , Hiroki Ohata , Hidehiko Shimada , Hiromasa Watanabe

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

The critical properties of the abelian Polyakov loop and the Polyakov loop in terms of Dirac string are studied in finite temperature abelian projected $SU(2)$ QCD. The critical point and the critical exponents are determined from each…

High Energy Physics - Lattice · Physics 2009-10-28 Shun-ichi Kitahara , Shinji Ejiri , Tsuneo Suzuki , Koji Yasuta

We report on the first steps of an ongoing project to add gauge observables and gauge corrections to the well-studied strong coupling limit of staggered lattice QCD, which has been shown earlier to be amenable to numerical simulations by…

High Energy Physics - Lattice · Physics 2015-03-19 Philippe de Forcrand , Michael Fromm , Jens Langelage , Kotaroh Miura , Owe Philipsen , Wolfgang Unger

We represent the Polyakov loop correlator as a spectral sum of correlators of eigenvectors of the lattice Dirac operator. This spectral representation is studied numerically using quenched SU(3) configurations below and above the…

High Energy Physics - Lattice · Physics 2010-02-03 Erek Bilgici , Christof Gattringer

Monopole and photon contributions to abelian Wilson loops are calculated using Monte-Carlo simulations of finite-temperature $SU(2)$ QCD in the maximally abelian gauge. The string tension is reproduced by monopole contribution alone also in…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

We study localization of the low Dirac modes in 3+1 dimensional pure $\mathrm{SU}(3)$ gauge theory at zero and nonzero imaginary $\theta$ angle, with the aim of better characterizing the relation between low-mode localization and…

High Energy Physics - Lattice · Physics 2025-06-18 Claudio Bonanno , Matteo Giordano