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The effective potential of the order parameter for confinement is calculated within the variational approach to the Hamilton formulation of Yang-Mills theory. Compactifying one spatial dimension and using a background gauge fixing this…

高能物理 - 理论 · 物理学 2013-12-19 Hugo Reinhardt , Jan Heffner

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach by compactifying one spatial dimension and using a background gauge fixing. Neglecting the ghost and using the perturbative gluon…

高能物理 - 理论 · 物理学 2015-06-11 Hugo Reinhardt , Jan Heffner

The effective potential of the order parameter for confinement is calculated within the Hamiltonian approach to Yang--Mills theory. Compactifying one spatial dimension and using a background gauge fixing this potential is obtained by…

高能物理 - 理论 · 物理学 2013-01-14 Hugo Reinhardt , Jan Heffner

Recent results obtained for the deconfinement phase transition within the Hamiltonian approach to Yang-Mills theory are reviewed. Assuming a quasiparticle picture for the grand canonical gluon ensemble the thermal equilibrium state is found…

高能物理 - 理论 · 物理学 2015-06-18 Hugo Reinhardt , Davide R. Campagnari , Jan Heffner

The deconfinement phase transition of SU(2) Yang--Mills theory is investigated in the Hamiltonian approach in Coulomb gauge assuming a quasi-particle picture for the grand canonical gluon ensemble. The thermal equilibrium state is found by…

高能物理 - 理论 · 物理学 2015-06-05 Jan Heffner , Hugo Reinhardt , Davide R. Campagnari

The deconfinement phase transition of SU(2) Yang-Mills theory is investigated in the Hamiltonian approach in Coulomb gauge assuming a quasi-particle picture for the grand canonical gluon ensemble. The thermal equilibrium state is found by…

高能物理 - 理论 · 物理学 2013-01-18 Hugo Reinhardt , Davide R. Campagnari , Jan Heffner

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…

高能物理 - 唯象学 · 物理学 2015-08-10 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We use effective magnetic SU(N) pure gauge theory with cutoff M and fixed gauge coupling g_m to calculate non-perturbative magnetic properties of the deconfined phase of SU(N) Yang-Mills theory. We obtain the response to an external closed…

高能物理 - 唯象学 · 物理学 2008-11-26 M. Baker

The Polyakov loop variable serves as an order parameter to characterize the confined and deconfined phases of Yang-Mills theory. By integrating out the vector fields in the SU(2) Yang-Mills partition function in one-loop approximation, an…

高能物理 - 理论 · 物理学 2009-10-30 Michael Engelhardt , Hugo Reinhardt

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…

高能物理 - 理论 · 物理学 2015-11-19 Kei-Ichi Kondo , Akihiro Shibata

Including the Haar measure we show that the effective potential of the regularized SU(2) Yang-Mills theory has a minimum at vanishing Wilson-line $W=0$ for strong coupling, whereas it develops two degenerate minima close to $W=\pm 1$ for…

高能物理 - 唯象学 · 物理学 2016-09-01 K. Sailer , A. Schäfer , W. Greiner

In order to deepen our understanding of the nature of the deconfinement phase transition for various gauge groups, we investigate SU(4) Yang-Mills theory in 2+1 dimensions. We find that the transition is weakly first order. We perform…

高能物理 - 格点 · 物理学 2008-11-26 Kieran Holland , Michele Pepe , Uwe-Jens Wiese

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt…

高能物理 - 理论 · 物理学 2015-06-23 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We examine in non-Abelian gauge theory the heavy quark limit in the presence of the (anti-)self-dual homogeneous background field and see that a confining potential emerges, consistent with the Wilson criterion, although the potential is…

高能物理 - 理论 · 物理学 2009-10-31 G. V. Efimov , A. C. Kalloniatis , S. N. Nedelko

The effective action for the Polyakov loop serving as an order parameter for deconfinement is obtained in one-loop approximation to second order in a derivative expansion. The calculation is performed in $d\geq 4$ dimensions, mostly…

高能物理 - 理论 · 物理学 2009-10-31 Holger Gies

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…

高能物理 - 理论 · 物理学 2015-09-30 Kei-Ichi Kondo

We discuss an ensemble of topological solitons -- instanton-dyons and antidyons - in SU(2) pure gauge theory at finite temperatures above and below the deconfinement phase transition temperature. The main focus is on the combined effect of…

高能物理 - 唯象学 · 物理学 2015-06-15 E. Shuryak , T. Sulejmanpasic

We investigate the thermal properties of $\mathrm{SU}(3)$ Yang-Mills theory across the deconfinement phase transition considering the framework of shifted boundary conditions in the temporal direction. By measuring the entropy density…

高能物理 - 格点 · 物理学 2025-02-07 Leonardo Giusti , Mitsuaki Hirasawa , Michele Pepe , Luca Virzì

We compute the finite temperature ghost and gluon propagators of Yang-Mills theory in the Landau-DeWitt gauge. The background field that enters the definition of the latter is intimately related with the (gauge-invariant) Polyakov loop and…

高能物理 - 理论 · 物理学 2017-03-03 U. Reinosa , J. Serreau , M. Tissier , A. Tresmontant

We compute the effective action of the Polyakov loop in SU(2) and SU(3) Yang-Mills theory using a previously developed covariant variational approach. The formalism is extended to background gauge and it is shown how to relate the low order…

高能物理 - 理论 · 物理学 2016-09-21 Markus Quandt , Hugo Reinhardt
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