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The anisotropic 5D SU(2) Yang-Mills model has been widely investigated on the lattice during the last decade. In the case where all dimensions are large in size, it was previously claimed that there is a new phase in the phase diagram,…

高能物理 - 格点 · 物理学 2013-09-25 Luigi Del Debbio , Richard D. Kenway , Eliana Lambrou , Enrico Rinaldi

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

The phase diagram of five-dimensional SU(2) gauge theories is explored using Monte Carlo simulations of the theory discretized on a Euclidean lattice using the Wilson plaquette action and periodic boundary conditions. We simulate…

高能物理 - 格点 · 物理学 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

We determine the critical value of the coupling where the first order quantum phase transition takes place for lattice SU(2) Yang-Mills theories in dimensions higher than four. Within a Mean-Field approach we derive an approximate law valid…

高能物理 - 格点 · 物理学 2015-11-11 Nikos Irges , George Koutsoumbas , Konstantinos Ntrekis

We examine the finite-temperature deconfinement phase transition of (2+1)-dimensional SU(5) Yang-Mills theory via non-perturbative lattice simulations. Unsurprisingly, we find that the transition is of first order, however it appears to be…

高能物理 - 格点 · 物理学 2009-11-11 Kieran Holland

We study the phase diagram of 5-dimensional $SU(2)$ Yang-Mills theory on the lattice. We consider two extensions of the fundamental plaquette Wilson action in the search for the continuous phase transition suggested by the $4+\epsilon$…

高能物理 - 格点 · 物理学 2022-01-05 Adrien Florio , João M. Viana P. Lopes , José Matos , João Penedones

We study the bosonic matrix model obtained as the high-temperature limit of two-dimensional maximally supersymmetric SU($N$) Yang-Mills theory. So far, no consensus about the order of the deconfinement transition in this theory has been…

高能物理 - 理论 · 物理学 2020-01-16 Georg Bergner , Norbert Bodendorfer , Masanori Hanada , Enrico Rinaldi , Andreas Schafer , Pavlos Vranas

We present a non-perturbative study of the phase diagram of SU(2) Yang-Mills theory in a five-dimensional spacetime with a compact extra dimension. The non-renormalizable theory is regularized on an anisotropic lattice and investigated…

高能物理 - 格点 · 物理学 2014-11-20 Philippe de Forcrand , Aleksi Kurkela , Marco Panero

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

Monte Carlo simulations are performed in a five-dimensional lattice SU(2) Yang-Mills theory with a compactified extra dimension, and scaling laws are studied. Our simulations indicate that as the compactification radius $R$ decreases, the…

高能物理 - 格点 · 物理学 2009-11-07 Shinji Ejiri , Shouji Fujimoto , Jisuke Kubo

We explore the phase diagram of the five-dimensional anisotropic Abelian Higgs model by Monte Carlo simulations. In particular, we study the transition between the confining phase and the four dimensional layered Higgs phase. We find that,…

高能物理 - 格点 · 物理学 2011-09-13 P. Dimopoulos , K. Farakos , S. Nicolis

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

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

Some time ago, Svetitsky and Yaffe have argued that -- if the deconfinement phase transition of a (d+1)-dimensional Yang-Mills theory with gauge group G is second order -- it should be in the universality class of a d-dimensional spin model…

高能物理 - 格点 · 物理学 2009-11-10 K. Holland , M. Pepe , U. -J. Wiese

We explore the phase diagram of the 5--D anisotropic Abelian Higgs model by Monte Carlo simulations. In particular, we study the transition between the confining phase and the four dimensional layered Higgs phase. We find that, in a certain…

高能物理 - 格点 · 物理学 2015-06-25 P. Dimopoulos , K. Farakos , S. Nicolis

We explore, by Monte Carlo and Mean Field methods, the five--dimensional SU(2) adjoint Higgs model. We allow for the possibility of different couplings along one direction, describing the so--called anisotropic model. This study is…

高能物理 - 格点 · 物理学 2009-11-07 P. Dimopoulos , K. Farakos , G. Koutsoumbas

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

We summarize and extend evidence that the deconfinement phase transition in Yang-Mills theories can be viewed as change of effective non-perturbative degrees of freedom and of symmetries of their interactions. In short, the strings in four…

高能物理 - 唯象学 · 物理学 2009-04-09 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

In this paper we attempt a non-perturbative study of the five dimensional, anisotropic SU(2) gauge theory on the lattice using Monte-Carlo techniques. Our goal is the exploration of the phase diagram, define the various phases and the…

高能物理 - 格点 · 物理学 2015-05-19 K. Farakos , S. Vrentzos

We investigate the nonperturbative phase structure of five-dimensional SU(3) pure Yang-Mills theory on the lattice. We perform numerical simulations using the Wilson plaquette gauge action on an anisotropic lattice with a four-dimensional…

高能物理 - 格点 · 物理学 2014-04-25 Etsuko Itou , Kouji Kashiwa , Norihiro Nakamoto
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