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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…

High Energy Physics - Lattice · Physics 2015-05-30 Francesco Knechtli , Magdalena Luz , Antonio Rago

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…

High Energy Physics - Lattice · Physics 2015-05-19 K. Farakos , S. Vrentzos

We study the phase diagram of five-dimensional SU(2) gauge theories on anisotropic lattices with periodic boundary conditions. We locate a line of first order bulk phase transitions and second order phase transitions related to breaking of…

High Energy Physics - Lattice · Physics 2011-11-04 Francesco Knechtli , Antonio Rago

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…

High Energy Physics - Lattice · Physics 2014-11-20 Philippe de Forcrand , Aleksi Kurkela , Marco Panero

We make a first study of the phase diagram of four-dimensional N=4 super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ is both gauge invariant and retains at all lattice spacings one exactly…

High Energy Physics - Lattice · Physics 2015-06-11 Simon Catterall , Poul H. Damgaard , Thomas Degrand , Richard Galvez , Dhagash Mehta

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 $4+\epsilon$…

High Energy Physics - Lattice · Physics 2022-01-05 Adrien Florio , João M. Viana P. Lopes , José Matos , João Penedones

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…

High Energy Physics - Lattice · Physics 2025-02-14 Masakiyo Kitazawa , Daisuke Fujii , Akihiro Iwanaka , Daiki Suenaga

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…

High Energy Physics - Lattice · Physics 2013-09-17 Luigi Del Debbio , Richard D. Kenway , Eliana Lambrou , Enrico Rinaldi

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…

High Energy Physics - Lattice · Physics 2012-03-27 Luigi Del Debbio , Enrico Rinaldi

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,…

High Energy Physics - Lattice · Physics 2013-09-25 Luigi Del Debbio , Richard D. Kenway , Eliana Lambrou , Enrico Rinaldi

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…

High Energy Physics - Lattice · Physics 2023-12-14 Kirill Boguslavski , Paul Hotzy , David I. Müller , Dénes Sexty

We introduce a comprehensive framework for analyzing finite $N$ lattice Yang-Mills theory and finite $N$ matrix models. Utilizing this framework, we examine the bootstrap approach to SU(2) Lattice Yang-Mills Theory in 2,3 and 4 dimensions.…

High Energy Physics - Theory · Physics 2024-12-05 Vladimir Kazakov , Zechuan Zheng

The phase diagram of five-dimensional anisotropic gauge theories in a flat background has been extensively explored during the last decade. Here, we present novel results for the phase structure of the five-dimensional anisotropic SU(2)…

High Energy Physics - Lattice · Physics 2015-10-27 Richard D. Kenway , Eliana Lambrou

We present a lattice formulation of non-Abelian Lifshitz-type gauge theories. Due to anisotropic scaling of space and time, the theory is asymptotically free even in five dimensions. We show results of Monte Carlo simulations that suggest a…

High Energy Physics - Lattice · Physics 2015-12-02 Takuya Kanazawa , Arata Yamamoto

A lattice formulation of Lifshitz-type gauge theories is presented. While the Lorentz-invariant Yang-Mills theory is not renormalizable in five dimensions, non-Abelian Lifshitz-type gauge theories are renormalizable and asymptotically free.…

High Energy Physics - Lattice · Physics 2015-04-16 Takuya Kanazawa , Arata Yamamoto

We explore the phase structure and symmetry breaking in four-dimensional SU(3) gauge theory with one spatial compact dimension on the lattice ($16^3 \times 4$ lattice) in the presence of fermions in the adjoint representation with periodic…

High Energy Physics - Lattice · Physics 2014-06-11 Guido Cossu , Hisaki Hatanaka , Yutaka Hosotani , Jun-Ichi Noaki

Simulations of four-dimensional SU(2) lattice gauge theory are performed with partial axial gauge fixing trees spanning three of the four dimensions. The remaining SU(2) gauge symmetry, global in three directions and local in one, is found…

High Energy Physics - Lattice · Physics 2007-05-23 Michael Grady

We explore the phase structure and symmetry breaking in four-dimensional SU(3) gauge theory with one spatial compact dimension on the lattice in the presence of fermions in the adjoint and fundamental representations with general boundary…

High Energy Physics - Lattice · Physics 2013-11-19 Guido Cossu , Etsuko Itou , Hisaki Hatanaka , Yutaka Hosotani , Jun-Ichi Noaki

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…

High Energy Physics - Phenomenology · Physics 2025-03-26 Daisuke Fujii , Akihiro Iwanaka , Masakiyo Kitazawa , Daiki Suenaga

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…

High Energy Physics - Lattice · Physics 2009-11-07 P. Dimopoulos , K. Farakos , G. Koutsoumbas
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