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We study the confining/deconfining phase transition in the mass deformed Yang-Mills matrix model which is obtained by the dimensional reduction of the bosonic sector of the four-dimensional maximally supersymmetric Yang-Mills theory…

High Energy Physics - Theory · Physics 2020-07-15 Yuhma Asano , Samuel Kováčik , Denjoe O'Connor

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

There are two distinct regimes of Yang-Mills theory where we can demonstrate confinement, the existence of a mass gap, and fractional theta angle dependence using a reliable semi-classical calculation. The two regimes are Yang-Mills theory…

High Energy Physics - Theory · Physics 2024-10-24 Canberk Güvendik , Thomas Schaefer , Mithat Ünsal

In a recent work we have proposed a perturbative approach for the study of the phase transition of pure Yang-Mills theories at finite temperature. This is based on a simple massive extension of background field methods in the Landau-DeWitt…

High Energy Physics - Theory · Physics 2015-06-23 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We study, by means of numerical lattice simulations, the properties of the reconfinement phase transition taking place in trace deformed $SU(3)$ Yang-Mills theory defined on $\mathbb{R}^3\times S^1$, in which center symmetry is recovered…

High Energy Physics - Lattice · Physics 2021-02-24 Claudio Bonati , Marco Cardinali , Massimo D'Elia , Matteo Giordano , Fabrizio Mazziotti

We present an overview on nonperturbative thermodynamics in the deconfining phase of an SU(2) Yang-Mills theory. In a unique effective theory the maximal resolution of trivial-topology fluctuations is constrained by coarse-grained,…

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

We give an analytical derivation of the confinement/deconfinement phase transition at finite temperature in the $SU(N)$ Yang-Mills theory in the $D$-dimensional space time for $D>2$. We elucidate what is the mechanism for quark confinement…

High Energy Physics - Theory · Physics 2015-09-30 Kei-Ichi Kondo

We give an analytic demonstration that the 3+1 dimensional large N SU(N) pure Yang-Mills theory, compactified on a small 3-sphere so that the coupling constant at the compactification scale is very small, has a first order deconfinement…

High Energy Physics - Theory · Physics 2008-11-26 Ofer Aharony , Joseph Marsano , Shiraz Minwalla , Kyriakos Papadodimas , Mark Van Raamsdonk

The deconfinement phase transition of SU(2) Yang-Mills theory is investigated in the Hamiltonian approach in Coulomb gauge assuming a quasi-particle picture for the grand canonical gluon ensemble. The thermal equilibrium state is found by…

High Energy Physics - Theory · Physics 2013-01-18 Hugo Reinhardt , Davide R. Campagnari , Jan Heffner

Strong coupling dynamics of Yang--Mills theories with chiral fermion content remained largely elusive despite much effort over the years. In this work, we propose a dynamical framework in which we can address non-perturbative properties of…

High Energy Physics - Theory · Physics 2009-07-30 M. Shifman , Mithat Unsal

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…

High Energy Physics - Theory · Physics 2020-01-16 Georg Bergner , Norbert Bodendorfer , Masanori Hanada , Enrico Rinaldi , Andreas Schafer , Pavlos Vranas

General string-theoretic considerations suggest that four-dimensional large-N gauge theories should have dual descriptions in terms of two-dimensional conformal field theories. However, for non-supersymmetric confining theories such as pure…

High Energy Physics - Theory · Physics 2015-11-25 Gokce Basar , Aleksey Cherman , Keith R. Dienes , David A. McGady

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

By fixing lattice Yang-Mills configurations to the maximal center gauge and subsequently applying the technique of center projection, one can identify center vortices in these configurations. Recently, center vortices have been shown to…

High Energy Physics - Lattice · Physics 2008-11-26 M. Engelhardt , K. Langfeld , H. Reinhardt , O. Tennert

We show that the Yang-Mills quantum field theory with momentum and spacetime cutoffs in four Euclidean dimensions is equivalent, term by term in an appropriately resummed perturbation theory, to a Fermionic theory with nonlocal interaction…

Mathematical Physics · Physics 2011-03-02 Jonathan Weitsman

We characterise the quantum group gauge symmetries underlying q-deformations of two-dimensional Yang-Mills theory by studying their relationships with the matrix models that appear in Chern-Simons theory and six-dimensional N=2 gauge…

High Energy Physics - Theory · Physics 2015-06-15 Richard J. Szabo , Miguel Tierz

The deconfinement phase transition of SU(2) Yang--Mills theory is investigated in the Hamiltonian approach in Coulomb gauge assuming a quasi-particle picture for the grand canonical gluon ensemble. The thermal equilibrium state is found by…

High Energy Physics - Theory · Physics 2015-06-05 Jan Heffner , Hugo Reinhardt , Davide R. Campagnari

We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its deconfining (electric) phase. Emphasis is put on an explanation of the concepts involved. The presentation…

High Energy Physics - Theory · Physics 2007-05-23 Ralf Hofmann

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 consider QCD with two degenerate flavors of light quarks(up and down) at asymptotically high isospin chemical potential with zero baryon chemical potential and calculate for the first time a quantitative expression for the critical…

High Energy Physics - Phenomenology · Physics 2015-12-09 Thomas D. Cohen , Srimoyee Sen