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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

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

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

We obtain the next-to-leading order correction to the spectrum of a SU(N) Yang-Mills theory in four dimensions and we show agreement well-below 1% with respect to the lattice computations for the ground state and one of the higher states.

高能物理 - 唯象学 · 物理学 2017-05-24 Marco Frasca

In this paper we study a phase structure of $5D$ ${\cal N}=1$ super Yang-Mills theory with massive matter multiplets and $SU(N)$ gauge group. In particular, we are interested in two cases: theory with $N_f$ massive hypermultiplets in the…

高能物理 - 理论 · 物理学 2015-02-26 Anton Nedelin

We solve exactly the Dyson-Schwinger equations for Yang-Mills theory in 3 and 4 dimensions. This permits us to obtain the exact correlation functions till order 2. In this way, the spectrum of the theory is straightforwardly obtained and…

高能物理 - 唯象学 · 物理学 2018-05-09 Marco Frasca

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 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 nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the…

高能物理 - 唯象学 · 物理学 2010-12-15 Jens Braun , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski

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

We use the Logarithmic Linear Relaxation (LLR) density of states algorithm to study the bulk phase transitions of pure-gauge SU($N$) lattice Yang--Mills theories with $4 \leq N \leq 8$. This approach avoids super-critical slowing down at…

高能物理 - 格点 · 物理学 2023-11-20 Felix Springer , David Schaich , Enrico Rinaldi

We propose a 5-dimensional definition for the physical 4D-Yang-Mills theory. The fifth dimension corresponds to the Monte-Carlo time of numerical simulations of QCD_4. The 5-dimensional theory is a well-defined topological quantum field…

高能物理 - 理论 · 物理学 2009-10-31 Laurent Baulieu , Daniel Zwanziger

We propose the Wilson discretization of the supersymmetric Yang-Mills Quantum Mechanics as a lattice version of the matrix model of M-theory. An SU(2) model is studied numerically in the quenched approximation for D=4. A clear signal for…

高能物理 - 格点 · 物理学 2009-10-31 R. A. Janik , J. Wosiek

The N=2* theory (mass deformation of N=4 Super-Yang-Mills) undergoes an infinite number of quantum phase transitions in the large-N limit. The phase structure and critical behavior can be analyzed with the help of supersymmetric…

高能物理 - 理论 · 物理学 2018-12-18 K. Zarembo

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

We apply the Dynamical Mean Field (DMFT) approximation to the real, scalar phi^4 quantum field theory. By comparing to lattice Monte Carlo calculations, perturbation theory and standard mean field theory, we test the quality of the…

高能物理 - 格点 · 物理学 2013-12-16 Oscar Akerlund , Philippe de Forcrand , Antoine Georges , Philipp Werner

The phase structure of the generalized Yang--Mills theories is studied, and it is shown that {\it almost} always, it is of the third order. As a specific example, it is shown that all of the models with the interaction $\sum_j…

高能物理 - 理论 · 物理学 2009-10-31 M. Alimohammadi , M. Khorrami

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

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
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