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A very simple variational approach to pure SU($N$) Yang-Mills theory is proposed, based on the Gaussian effective potential in a linear covariant gauge. The method provides an analytical variational argument for mass generation. The method…

High Energy Physics - Phenomenology · Physics 2018-03-21 Giorgio Comitini , Fabio Siringo

We study matrix quantum mechanics at finite temperature by Monte Carlo simulation. The model is obtained by dimensionally reducing 10d U(N) pure Yang-Mills theory to 1d. Following Aharony et al., one can view the same model as describing…

High Energy Physics - Theory · Physics 2008-11-26 Naoyuki Kawahara , Jun Nishimura , Shingo Takeuchi

Characterizing the vacuum of a thermalized SU(3) Yang-Mills theory in the dual Ginzburg-Landau description, the possibility of topologically nontrivial, classical monopole fields in the deconfining phase is explored. These fields are…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ralf Hofmann

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 investigate the confinement-deconfinement phase transition at finite temperature of the SU(3) Yang-Mills(YM) theory on the lattice from a viewpoint of the dual superconductor picture based on the novel reformulation of the YM theory. In…

High Energy Physics - Lattice · Physics 2019-11-05 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato

We discuss bosonic and supersymmetric Yang-Mills matrix models with compact semi-simple gauge group. We begin by finding convergence conditions for the partition and correlation functions. Moving on, we specialise to the SU(N) models with…

High Energy Physics - Theory · Physics 2007-05-23 Peter Austing

We test the recent claim that supersymmetric matrix quantum mechanics with mass deformation preserving maximal supersymmetry can be used to study N=4 super Yang-Mills theory on RxS^3 in the planar limit. When the mass parameter is large, we…

High Energy Physics - Theory · Physics 2009-04-09 Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya

We study the phase structure of N=1 supersymmetric Yang-Mills theory on R^3XS^1, with massive gauginos, periodic around the S^1, with Sp(2N) (N>=2), Spin(N) (N>=5), G_2, F_4, E_6, E_7, E_8 gauge groups. As the gaugino mass m is increased,…

High Energy Physics - Theory · Physics 2015-06-19 Mohamed M. Anber , Erich Poppitz , Brett Teeple

We present a toy model study of the high temperature deconfining transition in Yang-Mills theory as a breakdown of the confinement condition proposed by Kugo and Ojima. Our toy model is a kind of topological field theory obtained from the…

High Energy Physics - Theory · Physics 2017-02-01 Hiroyuki Hata , Yusuke Taniguchi

In the preceeding works, we have given a non-Abelian dual superconductivity picture for quark confinement, and demonstrated the numerical evidences on the lattice. In this talk, we discuss the confinement and deconfinement phase transition…

High Energy Physics - Lattice · Physics 2015-11-30 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

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…

High Energy Physics - Phenomenology · Physics 2017-08-23 Ralf Hofmann

We present a study of D=4 supersymmetric Yang-Mills matrix models with SO(3) mass terms based on the cohomological approach and the Monte Carlo method. In the bosonic models we show the existence of an exotic first/second order transition…

High Energy Physics - Theory · Physics 2012-07-10 Badis Ydri

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…

High Energy Physics - Lattice · Physics 2009-11-11 Kieran Holland

This study explores confinement-deconfinement transition properties of SU($3$) Yang--Mills theory under weak accelerations at finite temperatures, using first-principles lattice simulations. The system is formulated in the Rindler…

High Energy Physics - Lattice · Physics 2026-04-30 Victor V. Braguta , Vladimir A. Goy , Jayanta Dey , Artem A. Roenko

We investigate gauge theories based on the smallest exceptional simple lie group G(2). Our first model considered here is G(2) Yang-Mills coupled to a fundamental Higgs field. In 4 spacetime dimensions we explore the phase diagram of the…

High Energy Physics - Lattice · Physics 2011-11-03 Björn H. Wellegehausen

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…

High Energy Physics - Lattice · Physics 2009-11-10 K. Holland , M. Pepe , U. -J. Wiese

The Z(N) center symmetry plays an important role in the deconfinement phase transition of SU(N) Yang-Mills theory at finite temperature. The exceptional group G(2) is the smallest simply connected gauge group with a trivial center. Hence,…

High Energy Physics - Lattice · Physics 2008-11-26 M. Pepe , U. -J. Wiese

We compute the equation of state in the confining phase of SU(N) Yang-Mills theories with N=2, 3, 4, 5 and 6 colors in 2+1 dimensions, via lattice simulations. At low enough temperatures, the results are accurately described by a gas of…

High Energy Physics - Lattice · Physics 2011-07-05 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero

We present a non-perturbative study of the equation of state in the deconfined phase of Yang-Mills theories in D=2+1 dimensions. We introduce a holographic model, based on the improved holographic QCD model, from which we derive a…

High Energy Physics - Theory · Physics 2012-05-29 Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Umut Gürsoy , Marco Panero , Andreas Schäfer

We study the maximally supersymmetric plane wave matrix model (the BMN model) at finite temperature, $T$, and locate the high temperature phase boundary in the $(\mu,T)$ plane, where $\mu$ is the mass parameter. We find the first…

High Energy Physics - Theory · Physics 2018-11-14 Yuhma Asano , Veselin G. Filev , Samuel Kováčik , Denjoe O'Connor