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We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. For this purpose, we use a novel reformulation of the…

High Energy Physics - Theory · Physics 2015-11-19 Kei-Ichi Kondo , Akihiro Shibata

Understanding the character of the deconfinement phase transition is one of the fundamental challenges in particle physics. In this work, we derive a formula for the expectation value of the Polyakov loop -- the order parameter of the…

High Energy Physics - Phenomenology · Physics 2025-06-17 Bing-Kai Sheng , Yong-Liang Ma

We study phase transitions in $SU(\infty)$ gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2018-02-21 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We analyze the phase structure of $SU(\infty)$ gauge theory at finite temperature using matrix models. Our basic assumption is that the effective potential is dominated by double-trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2017-12-25 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. We elucidate what is the mechanism for quark confinement…

High Energy Physics - Theory · Physics 2015-09-30 Kei-Ichi Kondo

The addition of an adjoint Polyakov loop term to the action of a pure gauge theory at finite temperature leads to new phases of SU(N) gauge theories. For SU(3), a new phase is found which breaks Z(3) symmetry in a novel way; for SU(4), the…

High Energy Physics - Lattice · Physics 2008-11-26 Joyce C. Myers , Michael C. Ogilvie

Reduced large N gauge theories have a phase with unbroken center symmetry and phases in which that symmetry is broken for Polyakov loops in one or more lattice directions. The phase with unbroken symmetry is associated with the zero…

High Energy Physics - Lattice · Physics 2009-11-11 Joe Kiskis

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at finite temperature by Monte Carlo simulations. We find that the finite temperature deconfinement phase transition line joins the first order bulk phase…

High Energy Physics - Lattice · Physics 2009-10-22 Rajiv V. Gavai , Michael Grady , Manu Mathur

We approach the non-perturbative regime in finite temperature QCD within a formulation in Polyakov gauge. The construction is based on a complete gauge fixing. Correlation functions are then computed from Wilsonian renormalisation group…

High Energy Physics - Phenomenology · Physics 2008-12-08 Florian Marhauser , Jan M. Pawlowski

We study the deconfining phase transition in 3+1 dimensional pure SU(N) Yang-Mills theory using a gauge invariant variational calculation. We generalize the variational ansatz of Phys. Rev. D52, 3719 (1995) to mixed states (density…

High Energy Physics - Phenomenology · Physics 2009-11-07 I. I. Kogan , A. Kovner , J. G. Milhano

We consider a simple massive extension of the Landau-DeWitt gauge for SU($N$) Yang-Mills theory. We compute the corresponding one-loop effective potential for a temporal background gluon field at finite temperature. At this order the…

High Energy Physics - Phenomenology · Physics 2015-08-10 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We study the confinement-deconfinement phase transition of pure Yang-Mills theories at finite temperature using a simple massive extension of standard background field methods. We generalize our recent next-to-leading-order perturbative…

High Energy Physics - Theory · Physics 2016-05-11 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the…

High Energy Physics - Phenomenology · Physics 2010-12-15 Jens Braun , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski

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

We study the deconfining phase transition at nonzero temperature in a SU(N) gauge theory, using a matrix model which was analyzed previously at small N. We show that the model is soluble at infinite N, and exhibits a Gross-Witten-Wadia…

High Energy Physics - Theory · Physics 2015-06-05 Robert D. Pisarski , Vladimir V. Skokov

We show that the effective potentials for the Polyakov loops in finite temperature SU$(N)$ gauge theories obey a certain scaling relation with respect to temperature in the large-$N$ limit. This scaling relation strongly constrains the…

High Energy Physics - Theory · Physics 2025-10-22 Takehiro Azuma , Takeshi Morita

We argue that, at finite temperature, parity invariant non-compact electrodynamics with massive electrons in 2+1 dimensions can exist in both confined and deconfined phases. We show that an order parameter for the confinement-deconfinement…

High Energy Physics - Theory · Physics 2009-10-28 G. Grignani , G. Semenoff , P. Sodano

Recent results applying resurgence theory to finite-temperature field theories yield a detailed analytic structure determined by topological excitations. We examine finite-temperature SU(N) lattice gauge theories in light of these results.…

High Energy Physics - Lattice · Physics 2014-11-20 Michael Ogilvie , Peter Meisinger

The phase diagram of SO(3) lattice gauge theory at finite temperature is investigated by Monte Carlo techniques with a view i) to understand the relationship between the deconfinement phase transitions in the SU(2) and SO(3) lattice gauge…

High Energy Physics - Lattice · Physics 2009-10-30 Saumen Datta , Rajiv V. Gavai

Heavy quark potential in the continuum theory at finite temperature is calculated in different phases by using the Polyakov loop as the order parameter. We find the linearly rising potential in the confinement phase, the Debye screened…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Bohacik , P. Presnajder
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