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We study phase transitions in $SU(\infty)$ gauge theories at nonzero temperature using matrix models. Our basic assumption is that the effective potential is dominated by double trace terms for the Polyakov loops. As a function of the…

High Energy Physics - Theory · Physics 2018-02-21 Hiromichi Nishimura , Robert D. Pisarski , Vladimir V. Skokov

We examine the role of the center Z(N) of the gauge group SU(N) in gauge theories. In this pedagogical article, we discuss, among other topics, the center symmetry and confinement and deconfinement in gauge theories and associated…

High Energy Physics - Phenomenology · Physics 2016-11-23 K. Holland , U. -J. Wiese

We investigate how confining a transverse spatial dimension influences the few- and many-body properties of non-relativistic bosons with pointlike interactions. Our main focus is on the dimensional crossover from three to two dimensions,…

Quantum Gases · Physics 2016-12-14 Soeren Lammers , Igor Boettcher , Christof Wetterich

Using first-principles numerical simulations, we find a new spatially inhomogeneous phase in a rotating gluon plasma. This mixed phase simultaneously contains regions of both confining and deconfining states in thermal equilibrium,…

High Energy Physics - Lattice · Physics 2026-04-30 V. V. Braguta , M. N. Chernodub , Ya. A. Gershtein , A. A. Roenko

We investigate the deconfinement transition in SU(Nc) gauge theories, and properties of the deconfined phase. A detailed lattice study of SU(4) and SU(6) gauge theories are conducted, and finite volume and cutoff effects on thermodynamic…

High Energy Physics - Lattice · Physics 2010-11-05 Saumen Datta , Sourendu Gupta

This work examines the confining-deconfining phase transition in a hidden Yang Mills sector with scale $\Lambda \sim 10^{14}$ GeV appropriate to dilaton stabilization and SUSY-breaking via formation of a gaugino consensate. If the…

High Energy Physics - Phenomenology · Physics 2009-10-28 Haim Goldberg

We study the pure SU(3) gauge theory in 2+1 dimensions on the lattice using 't Hooft's twisted boundary conditions to force non-vanishing center flux through the finite volume. In this way we measure the free energy of spacelike center…

High Energy Physics - Lattice · Physics 2010-12-06 Nils Strodthoff , Sam R. Edwards , Lorenz von Smekal

The crossover from hadronic to quark matter is understood to be both a deconfinement as well as a chiral symmetry restoring transition. Here, we study observables related to both aspects using lattice simulations: the Polyakov loop and its…

High Energy Physics - Lattice · Physics 2024-05-22 Szabolcs Borsanyi , Zoltan Fodor , Jana N. Guenther , Ruben Kara , Paolo Parotto , Attila Pasztor , Ludovica Pirelli , Chik Him Wong

We have studied the probability of two succinct particle production mechanisms, likely to occur in the transition from the deconfined medium produced in RHIC and LHC heavy ion collisions back to the hadron gas, which is abundant at lower…

High Energy Physics - Phenomenology · Physics 2012-05-17 Rene Bellwied

The phase diagram of SO(3) lattice gauge theory at finite temperature is investigated by Monte Carlo techniques with a view i) to understand the relationship between the deconfinement phase transitions in the SU(2) and SO(3) lattice gauge…

High Energy Physics - Lattice · Physics 2009-10-30 Saumen Datta , Rajiv V. Gavai

First-order phase transitions in the early universe have rich phenomenological implications, such as the production of a potentially detectable signal of stochastic relic background gravitational waves. The hypothesis that new, strongly…

High Energy Physics - Lattice · Physics 2024-11-21 David Mason , Ed Bennett , Biagio Lucini , Maurizio Piai , Enrico Rinaldi , Davide Vadacchino , Fabian Zierler

The structure of the phase diagram for strong interactions becomes richer in the presence of a magnetic background, which enters as a new control parameter for the thermodynamics. Motivated by the relevance of this physical setting for…

High Energy Physics - Phenomenology · Physics 2015-03-14 A. J. Mizher , M. N. Chernodub , E. S. Fraga

We consider a simple massive extension of the Landau-DeWitt gauge for SU($N$) Yang-Mills theory. We compute the corresponding one-loop effective potential for a temporal background gluon field at finite temperature. At this order the…

High Energy Physics - Phenomenology · Physics 2015-08-10 U. Reinosa , J. Serreau , M. Tissier , N. Wschebor

We show that the Casimir effect may lead to a deconfinement phase transition induced by the presence of boundaries in confining gauge theories. Using first-principle numerical simulations we demonstrate this phenomenon in the simplest case…

High Energy Physics - Lattice · Physics 2017-11-22 M. N. Chernodub , V. A. Goy , A. V. Molochkov

I review the deconfining phase transition in an SU(N) gauge theory without quarks. After computing the interface tension between Z(N) degenerate vacua deep in the deconfined phase, I follow Giovannangeli and Korthals Altes, and suggest a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Robert D. Pisarski

The first order transition between the confining and the center symmetry breaking phases of the SU(3) Yang-Mills theory is marked by discontinuities in various thermodynamics functions, such as the energy density or the value of the…

High Energy Physics - Lattice · Physics 2023-04-12 Sz. Borsanyi , Z. Fodor , D. A. Godzieba , R. Kara , P. Parotto , D. Sexty , R. Vig

Cavitation is a process where the viscous terms in a relativistic fluid result in reducing the effective pressure, thus facilitating the nucleation of bubbles of a stable phase. The effect is particularly pronounced in the vicinity of a…

High Energy Physics - Phenomenology · Physics 2015-06-15 Alex Buchel , Xian O. Camanho , Jose D. Edelstein

We consider thermal QCD in the large N_C limit, mainly in 1+1 dimensions. The gauge coupling is only taken into account to minimal order, by projection onto colour singlets. An expression for the free energy, exact as N_C goes to infinity,…

High Energy Physics - Phenomenology · Physics 2016-09-06 Joakim Hallin , David Persson

We study the relation of confinement and chiral symmetry breaking in gauge theories with non-trivial center, such as SU(N) gauge theories. To this end, we deform these gauge theories by introducing an additional control parameter into the…

High Energy Physics - Phenomenology · Physics 2012-05-08 Jens Braun , Tina K. Herbst

We investigate SU(3) gauge theories in four dimensions with Nf fundamental fermions, on a lattice using the Wilson fermion. Clarifying the vacuum structure in terms of Polyakov loops in spatial directions and properties of temporal…

High Energy Physics - Lattice · Physics 2014-06-18 K. -I. Ishikawa , Y. Iwasaki , Yu Nakayama , T. Yoshie