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We consider the determination of the finite temperature phase transition in the Yang--Mills SU(3) gauge theory. We compute the difference of the spatial and temporal energy density at a physical Wilson flow time. This difference is zero in…

高能物理 - 格点 · 物理学 2016-11-23 Michèle Wandelt , Francesco Knechtli , Michael Günther

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

Yang-Mills theories undergo a deconfining phase transition at a critical temperature. In lattice calculations the temporal Wilson loop and Z_3 order parameter show above this temperature a behavior typical of deconfinement. A quantity of…

高能物理 - 唯象学 · 物理学 2017-08-23 Axel Maas , Burghard Grueter , Reinhard Alkofer , Jochen Wambach

Lattice Yang-Mills theories at finite temperature can be mapped onto effective 3d spin systems, thus facilitating their numerical investigation. Using strong-coupling expansions we derive effective actions for Polyakov loops in the $SU(2)$…

高能物理 - 格点 · 物理学 2011-03-31 Jens Langelage , Stefano Lottini , Owe Philipsen

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 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…

高能物理 - 理论 · 物理学 2017-12-25 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

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…

高能物理 - 理论 · 物理学 2018-02-21 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We suggest that the gauge-invariant hedgehoglike structures in the Wilson loops are physically interesting degrees of freedom in the Yang--Mills theory. The trajectories of these ``hedgehog loops'' are closed curves corresponding to…

高能物理 - 格点 · 物理学 2008-11-26 V. A. Belavin , M. N. Chernodub , I. E. Kozlov

We investigate the effective potential of the Polyakov loop, which is the order parameter for the deconfinement phase transition in finite temperature QCD. Our work is based on the Hamiltonian approach in Coulomb gauge where finite…

高能物理 - 唯象学 · 物理学 2022-12-14 Markus Quandt , Hugo Reinhardt

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

Effective Polyakov loop theories are a useful tool for an investigation of pure Yang-Mills theory and full QCD. A systematic derivation of the effective action can be done in a spatial strong coupling expansion. Quite accurate predictions…

高能物理 - 格点 · 物理学 2013-11-27 Georg Bergner , Jens Langelage , Owe Philipsen

Using the Polyakov-loop effective action, we investigate the structure of spontaneously broken $\mathbb{Z}_N$ symmetry in the deconfinement vacuum in the SU($N$) Yang-Mills theory with finite $N$. First, we examine the Polyakov-loop…

高能物理 - 理论 · 物理学 2023-06-27 Yuto Nakajima , Hideo Suganuma

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 use the recently proposed supergravity approach to large $N$ gauge theories to calculate ordinary and spatial Wilson loops of gauge theories in various dimensions. In this framework we observe an area law for spatial Wilson loops in four…

高能物理 - 理论 · 物理学 2010-02-03 Andreas Brandhuber , Nissan Itzhaki , Jacob Sonnenschein , Shimon Yankielowicz

We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ in Euclidean spacetime in an effective-model approach. The model incorporates two Polyakov loops along two compactified…

高能物理 - 唯象学 · 物理学 2024-11-13 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

Effective theories for the thermal Wilson line are constructed in an SU(N) gauge theory at nonzero temperature. I propose that the order of the deconfining phase transition for Z(N) Wilson lines is governed by the behavior of SU(N) Wilson…

高能物理 - 唯象学 · 物理学 2009-12-30 Robert D. Pisarski

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

Recent lattice calculations performed at zero temperature and in the maximal center gauge indicate that quark confinement can be understood in this gauge as due to fluctuations in the number of magnetic vortices piercing a given Wilson…

高能物理 - 格点 · 物理学 2009-10-31 K. Langfeld , O. Tennert , M. Engelhardt , H. Reinhardt

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…

高能物理 - 理论 · 物理学 2016-05-11 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

Recently lattice simulation in pure Yang-Mills theory exposes significant quadratic corrections for both the thermodynamic quantities and the renormalized Polyakov loop in the deconfined phase. These terms are previously found to appear…

高能物理 - 理论 · 物理学 2015-05-11 Fen Zuo , Yi-Hong Gao
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