Deconfinement phase transition in the S U ( 3 ) instanton-dyon ensemble

DeMartini, Dallas; Shuryak, Edward

doi:10.1103/PhysRevD.104.054010

Title: Deconfinement phase transition in the $S U (3)$ instanton-dyon ensemble

Abstract

Confinement remains one the most interesting and challenging nonperturbative phenomenon in non-Abelian gauge theories. Recent semiclassical [for SU(2)] and lattice (for QCD) studies have suggested that confinement arises from interactions of statistical ensembles of instanton dyons with the Polyakov loop. We extend studies of a semiclassical ensemble of dyons to the SU(3) Yang-Mills theory. We find that such interactions do generate the expected first-order deconfinement phase transition. The properties of the ensemble, including correlations and topological susceptibility, are studied over a range of temperatures above and below T_c. Additionally, the dyon ensemble is studied in the Yang-Mills theory containing an extra trace-deformation term. It is shown that such a term can cause the theory to remain confined and even retain the same topological observables at high temperatures.

Authors:

; Shuryak, Edward

Publication Date:: Fri Sep 10 00:00:00 EDT 2021

Research Org.:: State Univ. of New York (SUNY), Albany, NY (United States); Stony Brook Univ., NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1819491

Alternate Identifier(s):: OSTI ID: 1849983; OSTI ID: 2280576

Grant/Contract Number:: FG-88ER40388; FG02-88ER40388

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 5; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Astronomy & Astrophysics; Physics; Classical solutions in field theory; Quantum field theory; Color confinement; Strong interaction; Gauge theories; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    DeMartini, Dallas, and Shuryak, Edward. Deconfinement phase transition in the S U ( 3 ) instanton-dyon ensemble.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.104.054010.

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                    DeMartini, Dallas, & Shuryak, Edward. Deconfinement phase transition in the S U ( 3 ) instanton-dyon ensemble.  United States.  https://doi.org/10.1103/PhysRevD.104.054010

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                    DeMartini, Dallas, and Shuryak, Edward. Fri .  
"Deconfinement phase transition in the S U ( 3 ) instanton-dyon ensemble".  United States.  https://doi.org/10.1103/PhysRevD.104.054010.

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@article{osti_1819491,

  title        = {Deconfinement phase transition in the S U ( 3 ) instanton-dyon ensemble},

  author       = {DeMartini, Dallas and Shuryak, Edward},

  abstractNote = {Confinement remains one the most interesting and challenging nonperturbative phenomenon in non-Abelian gauge theories. Recent semiclassical [for SU(2)] and lattice (for QCD) studies have suggested that confinement arises from interactions of statistical ensembles of instanton dyons with the Polyakov loop. We extend studies of a semiclassical ensemble of dyons to the SU(3) Yang-Mills theory. We find that such interactions do generate the expected first-order deconfinement phase transition. The properties of the ensemble, including correlations and topological susceptibility, are studied over a range of temperatures above and below Tc. Additionally, the dyon ensemble is studied in the Yang-Mills theory containing an extra trace-deformation term. It is shown that such a term can cause the theory to remain confined and even retain the same topological observables at high temperatures.},

  doi          = {10.1103/PhysRevD.104.054010},

  journal      = {Physical Review D},

  number       = 5,

  volume       = 104,

  place        = {United States},

  year         = {Fri Sep 10 00:00:00 EDT 2021},

  month        = {Fri Sep 10 00:00:00 EDT 2021}

}

Copy to clipboard

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Title: Deconfinement phase transition in the S U ( 3 ) instanton-dyon ensemble

Abstract

Citation Formats

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Topological susceptibility at zero and finite T in SU(3) Yang-Mills theory journal, June 1997

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Confining dyon-antidyon Coulomb liquid model. I. journal, October 2015

θ dependence in trace deformed S U ( 3 ) Yang-Mills theory: A lattice study journal, September 2018

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Pseudoparticle solutions of the Yang-Mills equations journal, October 1975

Density and correlations of topological objects near the transition temperature in lattice gluodynamics journal, June 2020

Thermodynamics of SU(3) lattice gauge theory journal, June 1996

II. Vortices and quark confinement in non-Abelian gauge theories journal, February 1976

Revised experimental upper limit on the electric dipole moment of the neutron journal, November 2015

Quark imprisonment and vacuum repulsion journal, February 1975

Instantons, compactification and S -duality in Script N = 4 SUSY Yang-Mills theory I journal, April 2001

SU(2) calorons and magnetic monopoles journal, June 1998

Topology and confinement journal, November 2009

The 4D SU(3) gauge theory with an imaginary θ term journal, November 2011

θ dependence in S U ( 3 ) Yang-Mills theory from analytic continuation journal, January 2016

Interacting ensemble of the instanton-dyons and the deconfinement phase transition in the SU(2) gauge theory journal, November 2015

Precision SU(3) lattice thermodynamics for a large temperature range journal, July 2012

Non-Gaussianities in the topological charge distribution of the SU(3) Yang-Mills theory journal, October 2015

Holonomy potential and confinement from a simple model of the gauge topology journal, October 2013

Erratum to: “Topological susceptibility at zero and finite T in SU(3) Yang–Mills theory” journal, February 2004

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Title: Deconfinement phase transition in the $S U (3)$ instanton-dyon ensemble

Confinement, holonomy, and correlated instanton-dyon ensemble: SU(2) Yang-Mills theory
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Towards a semiclassical description of QCD vacuum around $T_{c}$
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Electric Dipole Moment of the Neutron from $2 + 1$ Flavor Lattice QCD
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θ dependence of SU(N) gauge theories in the presence of a topological term
journal, January 2009

Strongly coupled plasma with electric and magnetic charges
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Topological susceptibility at high temperature on the lattice
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Quark confinement: Dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang–Mills theory
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New phases of $S U (3)$ and $S U (4)$ at finite temperature
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Monopole constituents inside SU(n) calorons
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journal, July 1995

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Quantum weights of dyons and of instantons with nontrivial holonomy
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Center-stabilized Yang-Mills theory: Confinement and large $N$ volume independence
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Topological susceptibility at zero and finite T in SU(3) Yang-Mills theory
journal, June 1997

Instanton-dyon ensemble with two dynamical quarks: The chiral symmetry breaking
journal, March 2016

Theta dependence of 4D SU(N) gauge theories at finite temperature
conference, April 2014

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journal, July 2019

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journal, January 1981

Light quarks in the screened dyon-antidyon Coulomb liquid model. II.
journal, October 2015

Confining dyon-antidyon Coulomb liquid model. I.
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$θ$ dependence in trace deformed $S U (3)$ Yang-Mills theory: A lattice study
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The role of instantons in quantum chromodynamics
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Quark imprisonment and vacuum repulsion
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