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We investigate the thermodynamic behavior and phase diagram of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2 \times \mathbb{R}^2$ in Euclidean spacetime using an effective model. In our approach, the Polyakov loops along the compactified…

高能物理 - 唯象学 · 物理学 2025-03-26 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

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

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

We study the pressure anisotropy in anisotropic finite-size systems in SU(3) Yang-Mills theory at nonzero temperature. Lattice simulations are performed on lattices with anisotropic spatial volumes with periodic boundary conditions. The…

高能物理 - 格点 · 物理学 2019-06-05 Masakiyo Kitazawa , Sylvain Mogliacci , Isobel Kolbé , W. A. Horowitz

Extensions of the standard model that lead to first-order phase transitions in the early universe can produce a stochastic background of gravitational waves, which may be accessible to future detectors. Thermodynamic observables at the…

高能物理 - 格点 · 物理学 2023-01-11 David Mason , Biagio Lucini , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

We investigate the phase diagram and thermodynamics of $SU(N)$ pure Yang-Mills theory on a manifold $\mathbb{T}^2\times \mathbb{R}^2$ with an effective model that includes two Polyakov loops along two compactified directions. We find that a…

高能物理 - 唯象学 · 物理学 2023-05-16 Daiki Suenaga , Masakiyo Kitazawa

We study properties of SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime in which two directions are compactified into a finite two-dimensional torus ${\mathbb T}^2$ while two others constitute a large ${\mathbb R}^2$…

高能物理 - 格点 · 物理学 2019-04-24 M. N. Chernodub , V. A. Goy , A. V. Molochkov

A first-order, confinement/deconfinement phase transition appears in the finite temperature behavior of many non-Abelian gauge theories. These theories play an important role in proposals for completion of the Standard Model of particle…

高能物理 - 格点 · 物理学 2026-04-10 Ed Bennett , Biagio Lucini , David Mason , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

We study effective lattice actions describing the Polyakov loop dynamics originating from finite-temperature Yang-Mills theory. Starting with a strong-coupling expansion the effective action is obtained as a series of Z(3)-invariant…

高能物理 - 格点 · 物理学 2008-11-26 Christian Wozar , Tobias Kaestner , Andreas Wipf , Thomas Heinzl , Balazs Pozsgay

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

We extend to large lattices the work of a previous investigation of the phase diagram of the anisotropic five-dimensional SU(2) Yang-Mills model using Monte Carlo simulations in the regime where the lattice spacing in the fifth dimension is…

高能物理 - 格点 · 物理学 2013-09-17 Luigi Del Debbio , Richard D. Kenway , Eliana Lambrou , Enrico Rinaldi

A model for the quantum effective description of the vacuum structure of thermalized SU(3) Yang-Mills theory is proposed. The model is based on Abelian projection leading to a Ginzburg-Landau theory for the magnetic sector. The possibility…

高能物理 - 唯象学 · 物理学 2017-08-23 Ralf Hofmann

The dual superconductivity is a promising mechanism of quark confinement. In the preceding works, we have given a non-Abelian dual superconductivity picture for quark confinement, and demonstrated the numerical evidences on the lattice. In…

高能物理 - 格点 · 物理学 2019-08-20 Akihiro Shibata , Seikou Kato , Kei-Ichi Kondo

A three-dimensional effective theory of Polyakov loops has recently been derived from Wilson's Yang-Mills lattice action by means of a strong coupling expansion. It is valid in the confined phase up to the deconfinement phase transition,…

高能物理 - 格点 · 物理学 2015-06-18 Georg Bergner , Jens Langelage , Owe Philipsen

We present an accurate computation of the Equation of State of the SU(3) Yang-Mills theory using shifted boundary conditions in the temporal direction. In this framework, the entropy density s can be obtained in a simple way from the…

高能物理 - 格点 · 物理学 2015-11-13 Leonardo Giusti , Michele Pepe

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

Lattice Field Theory can be used to study finite temperature first-order phase transitions in new, strongly-coupled gauge theories of phenomenological interest. Metastable dynamics arising in proximity of the phase transition can lead to…

高能物理 - 格点 · 物理学 2022-12-09 David Mason , Biagio Lucini , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino

Euclidean two-point correlators of the energy-momentum tensor (EMT) in SU(3) gauge theory on the lattice are studied on the basis of the Yang-Mills gradient flow. The entropy density and the specific heat obtained from the two-point…

高能物理 - 格点 · 物理学 2017-12-27 Masakiyo Kitazawa , Takumi Iritani , Masayuki Asakawa , Tetsuo Hatsuda

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

The first order transition between the confining and the center symmetry breaking phases of the SU(3) Yang-Mills theory is marked by discontinuities in various thermodynamics functions, such as the energy density or the value of the…

高能物理 - 格点 · 物理学 2023-04-12 Sz. Borsanyi , Z. Fodor , D. A. Godzieba , R. Kara , P. Parotto , D. Sexty , R. Vig
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