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We investigate the thermodynamics and phase structure of $SU(3)$ Yang-Mills theory on $\mathbb{T}^2\times\mathbb{R}^2$ with anisotropic spatial volumes in Euclidean spacetime in lattice numerical simulations and an effective model. In…

高能物理 - 格点 · 物理学 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

Models of porous media are often applied to relatively small systems, which leads not only to system-size-dependent results, but also to phenomena that would be absent in larger systems. Here we investigate one such finite-size effect:…

流体动力学 · 物理学 2016-06-28 Maciej Matyka , Zbigniew Koza , Jarosław Gołembiewski , Marcin Kostur , Michał Januszewski

A novel method to study the bulk thermodynamics in lattice gauge theory is proposed on the basis of the Yang-Mills gradient flow with a fictitious time t. The energy density (epsilon) and the pressure (P) of SU(3) gauge theory at fixed…

高能物理 - 格点 · 物理学 2015-09-07 Masayuki Asakawa , Tetsuo Hatsuda , Etsuko Itou , Masakiyo Kitazawa , Hiroshi Suzuki

In this conference proceeding, we investigate the physical anisotropy in terms of the temporal and spatial lattice spacings in relation to the bare parameters of SU(2) pure gauge theory using Wilson gradient flow. Anisotropic lattices have…

高能物理 - 格点 · 物理学 2023-12-14 Kirill Boguslavski , Paul Hotzy , David I. Müller , Dénes Sexty

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

The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with…

高能物理 - 格点 · 物理学 2017-02-15 Masakiyo Kitazawa , Takumi Iritani , Masayuki Asakawa , Tetsuo Hatsuda , Hiroshi Suzuki

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

We numerically simulate a non-Abelian lattice gauge theory in two spatial dimensions, with tensor networks (TN), up to intermediate sizes (>30 matter sites) well beyond exact diagonalization. We focus on the SU(2) Yang-Mills model in…

高能物理 - 格点 · 物理学 2024-07-15 Giovanni Cataldi , Giuseppe Magnifico , Pietro Silvi , Simone Montangero

We explore the phase diagram of the SU(2) Yang-Mills theory in 5 dimensions by numerical simulations. The lattice system shows a dimensionally-reduced phase where the extra dimension is small compared to the four dimensional correlation…

高能物理 - 格点 · 物理学 2012-03-27 Luigi Del Debbio , Enrico Rinaldi

In lattice quantum field theories with topological sectors, simulations at fine lattice spacings --- with typical algorithms --- tend to freeze topologically. In such cases, specific topological finite size effects have to be taken into…

高能物理 - 格点 · 物理学 2015-10-30 Arthur Dromard , Wolfgang Bietenholz , Urs Gerber , Héctor Mejía-Díaz , Marc Wagner

Monte Carlo simulations are carried out on the (3+1)-dimensional Z(2) anisotropic lattice model, and a new method to simulate extremely anisotropic lattice systems with discrete symmetries is proposed. Dependence of the temporal and spatial…

高能物理 - 格点 · 物理学 2015-06-25 L. A. Averchenkova , V. K. Petrov

We calculate the energy gap (latent heat) and pressure gap between the hot and cold phases of the SU(3) gauge theory at the first order deconfining phase transition point. We perform simulations around the phase transition point with the…

高能物理 - 格点 · 物理学 2016-07-27 Mizuki Shirogane , Shinji Ejiri , Ryo Iwami , Kazuyuki Kanaya , Masakiyo Kitazawa

In this paper we investigate, by means of numerical lattice simulations, the topological properties of the trace deformed $SU(3)$ Yang-Mills theory defined on $S_1\times\mathbb{R}^3$. More precisely, we evaluate the topological…

高能物理 - 格点 · 物理学 2018-10-09 Claudio Bonati , Marco Cardinali , Massimo D'Elia

We investigate the SU(3) Yang Mills theory at small gradient flow time and at short distances. Lattice spacings down to $a=0.015$ fm are simulated with open boundary conditions to allow topology to flow in and out. We study the behaviour of…

高能物理 - 格点 · 物理学 2018-04-18 Nikolai Husung , Mateusz Koren , Philipp Krah , Rainer Sommer

Finite temperature SU(3) gauge theory is studied on anisotropic lattices using the standard plaquette gauge action. The equation of state is calculated on $16^{3} \times 8$, $20^{3} \times 10$ and $24^{3} \times 12$ lattices with the…

We calculate the energy gap (latent heat) and pressure gap between the hot and cold phases of the SU(3) gauge theory at the first order deconfining phase transition point. We perform simulations around the phase transition point with the…

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

In this article we analyze the vacuum structure of pure SU(2) Yang-Mills using non-perturbative techniques. Monte Carlo simulations are performed for the lattice gauge theory with external sources to obtain the effective potential. Evidence…

高能物理 - 格点 · 物理学 2009-10-28 A. R. Levi , J. Polonyi

The comparison of structural analogies between the energy-momentum tensors in general relativity and in a gauge theory of Yang-Mills type is tentatively extended to lattice physics. These considerations are guiding to a new lattice model…

高能物理 - 格点 · 物理学 2007-05-23 Joachim Holk

Lattice Yang-Mills theories in any dimension may be regarded as coupled 1+1-dimensional integrable field theories. These integrable systems decouple at large center-of-mass energies, where the action becomes effectively anisotropic. This…

高能物理 - 格点 · 物理学 2011-03-22 Peter Orland
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