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When studied at finite temperature, Yang-Mills theories in $3+1$ dimensions display the presence of confinement/deconfinement phase transitions, which are known to be of first order -- the $SU(2)$ gauge theory being the exception.…

高能物理 - 格点 · 物理学 2023-09-25 Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

A simple variational argument based on the Gaussian Effective Potential (GEP) is put forward to give evidence for mass generation and deconfinement in pure Yang-Mills SU(N) theory. The GEP analysis shows that the massless gaussian vacuum of…

高能物理 - 理论 · 物理学 2018-06-22 Giorgio Comitini

We demonstate the existence of a large $N$ phase transition with respect to the 't Hooft coupling in q-deformed Yang-Mills theory on $S^2$. The strong coupling phase is characterized by the formation of a clump of eigenvalues in the…

高能物理 - 理论 · 物理学 2007-05-23 Daniel Jafferis , Joseph Marsano

We elucidate how Quantum Thermodynamics at temperature $T$ emerges from pure and classical SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime slice $S_1\times {\bf R}^3$. The concept of a (deconfining) thermal ground state,…

综合物理 · 物理学 2016-08-26 Ralf Hofmann

At high density, matter is expected to undergo a phase transition to deconfined quark matter. Although the density at which it happens and the strength of the transition are still largely unknown, we can model it to be in agreement with…

核理论 · 物理学 2023-11-21 Alexander Clevinger , Veronica Dexheimer , Jeffrey Peterson

We describe a weak coupling realization of the deconfinement transition in gauge theory compactified on $R^3\times S^1$. We consider Yang-Mills theory with a single Weyl fermion of mass $m$ in the adjoint representation of the gauge group.…

高能物理 - 格点 · 物理学 2013-10-31 Thomas Schaefer

We establish a new framework of finite temperature field theory for Yang-Mills theories in the physical phase space eliminating all unphysical degrees of freedoms. Relating our method to the imaginary time formalism of James and Landshoff…

高能物理 - 唯象学 · 物理学 2016-08-24 Herbert Nachbagauer

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 present results for the chromo-electric field generated by a static quark-antiquark pair at finite temperature, in lattice QCD with 2+1 dynamical staggered fermions at physical quark masses. We investigate the evolution of the field as…

高能物理 - 格点 · 物理学 2025-10-03 Marshall Baker , Paolo Cea , Volodymyr Chelnokov , Leonardo Cosmai , Alessandro Papa

We study some features of the confining string connecting a quark-anti-quark pair in Yang-Mills theory. Monte Carlo investigations of the flux tube between two static quarks in the fundamental representation show that its thickness…

高能物理 - 格点 · 物理学 2011-03-28 M. Pepe

We study the phase structures of N=4 U(N) super Yang-Mills theories on R x S^3/Z_k with large N. The theory has many vacua labelled by the holonomy matrix along the non-trivial cycle on S^3/Z_k, and for the fermions the periodic and the…

高能物理 - 理论 · 物理学 2009-11-11 Yasuaki Hikida

Phase diagram of strongly interacting matter is discussed within the exactly solvable statistical model of the quark-gluon bags. The model predicts two phases of matter: the hadron gas at a low temperature T and baryonic chemical potential…

核理论 · 物理学 2014-11-18 M. I. Gorenstein , M. Gazdzicki , W. Greiner

The QCD phase transition at finite temperature is studied with the dual Ginzburg-Landau theory, which is the QCD effective theory based on the dual Higgs mechanism by QCD-monopole condensation. At high temperature, the confinement force is…

高能物理 - 唯象学 · 物理学 2007-05-23 Hideo Suganuma , Hiroko Ichie , Hiroshi Toki , Hideko Monden

One of the most fundamental questions we can ask about a given gauge theory is its phase diagram. In the standard model, we observe three fundamentally different types of behavior: QCD is in a confined phase at zero temperature, while the…

高能物理 - 理论 · 物理学 2015-06-12 Michael C. Ogilvie

The potential between a static quark and antiquark in pure SU(3) Yang-Mills theory is evaluated non-perturbatively through computations on the lattice in the region from short to intermediate distances (0.05 fm < r < 0.8 fm). In the high…

高能物理 - 格点 · 物理学 2016-09-01 Silvia Necco

Supersymmetry (SUSY) has been proposed to be a central concept for the physics beyond the standard model and for a description of the strong interactions in the context of the AdS/CFT correspondence. A deeper understanding of these…

高能物理 - 格点 · 物理学 2015-06-19 G. Bergner , P. Giudice , G. Münster , S. Piemonte , D. Sandbrink

The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite…

高能物理 - 格点 · 物理学 2008-11-26 Guido Cossu , Massimo D'Elia , Adriano Di Giacomo , Biagio Lucini , Claudio Pica

To reflect the asymptotic freedom in the thermal direction, a temperature-dependent coupling was proposed in the literature. We investigate its effect on QCD matter with and without strong magnetic fields. Compared with the fixed coupling…

高能物理 - 唯象学 · 物理学 2017-10-11 Li Yang , Xin-jian Wen

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

高能物理 - 唯象学 · 物理学 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

Fermion boundary conditions play a relevant role in revealing the confinement mechanism of N=1 supersymmetric Yang-Mills theory with one compactified space-time dimension. A deconfinement phase transition occurs for a sufficiently small…

高能物理 - 格点 · 物理学 2015-06-23 G. Bergner , S. Piemonte