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We propose a novel approach to the confinement-deconfinement transition in Yang-Mills theories in the context of gauge-fixed calculations. The method is based on a background-field generalisation of the Landau gauge (to which it reduces at…

High Energy Physics - Phenomenology · Physics 2022-03-09 Duifje Maria van Egmond , Urko Reinosa , Julien Serreau , Matthieu Tissier

We present a lattice study of the equation of state in Yang-Mills theory based on the exceptional G(2) gauge group. As is well-known, at zero temperature this theory shares many qualitative features with real-world QCD, including the…

High Energy Physics - Lattice · Physics 2015-03-16 Mattia Bruno , Michele Caselle , Marco Panero , Roberto Pellegrini

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…

High Energy Physics - Phenomenology · Physics 2009-04-09 M. N. Chernodub , Atsushi Nakamura , V. I. Zakharov

We explore the influence of heavy quarks on the deconfinement phase transition in an effective model for gluons interacting with dynamical quarks in color SU(3). With decreasing quark mass, the strength of the explicit breaking of the Z(3)…

High Energy Physics - Phenomenology · Physics 2015-06-22 Pok Man Lo , Bengt Friman , Krzysztof Redlich

This paper concludes our efforts in describing SU(3)-Yang-Mills theories at different couplings/temperatures in terms of effective Polyakov-loop models. The associated effective couplings are determined through an inverse Monte Carlo…

High Energy Physics - Lattice · Physics 2008-11-26 Christian Wozar , Tobias Kaestner , Andreas Wipf , Thomas Heinzl

A study of the center symmetric phase of SU(2) Yang Mills theory is presented. Realization of the center symmetry is shown to result from non-perturbative gauge fixing. Dictated by the center symmetry, this phase exhibits already at the…

High Energy Physics - Theory · Physics 2009-10-31 F. Lenz , M. Thies

We study SU(2) Yang-Mills theory at finite temperature in the framework of the functional renormalization group. We concentrate on the effective potential for the Polyakov loop which serves as an order parameter for confinement. In this…

High Energy Physics - Phenomenology · Physics 2009-11-11 J. Braun , H. Gies , H. J. Pirner

We calculate the complete one-loop effective potential for SU(2) gauge bosons at temperature T as a function of two variables: phi, the angle associated with a non-trivial Polyakov loop, and H, a constant background chromomagnetic field.…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter N. Meisinger , Michael C. Ogilvie

In an extension of the Nambu-Jona-Lasinio model where the quarks interact with the temporal gluon field, represented by the Polyakov loop, we explore the relation between the deconfinement and chiral phase transitions. The effect of…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich

In non-abelian gauge theories without matter fields, expectation values of large Wilson loops and loop correlation functions are difficult to compute through numerical simulation, because the signal-to-noise ratio is very rapidly decaying…

High Energy Physics - Lattice · Physics 2010-02-03 Martin Lüscher , Peter Weisz

We determine the time evolution of fluctuations of the Polyakov loop after a quench into the deconfined phase of SU(3) gauge theory from a simple classical relativistic Lagrangian. We compare the structure factors, which indicate spinodal…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexei Bazavov , Bernd A. Berg , Adrian Dumitru

We present a semiclassical approach to the SU(N) Yang--Mills theory whose partition function at nonzero temperatures is approximated by a saddle point -- an ensemble of an infinite number of interacting dyons of N kinds. The ensemble is…

High Energy Physics - Theory · Physics 2015-05-13 Dmitri Diakonov , Victor Petrov

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

The deconfinement transition in SU(4) lattice gauge theory is studied on N_s^3 X N_t lattices with N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to have no bulk transitions. The peak of susceptibility \chi_{|L|}…

High Energy Physics - Lattice · Physics 2007-05-23 Rajiv V. Gavai

We study the localization properties of the eigenmodes of the staggered Dirac operator across the deconfinement transition in finite-temperature $\mathbb{Z}_3$ pure gauge theory on the lattice in 2+1 dimensions. This allows for nontrivial…

High Energy Physics - Lattice · Physics 2022-12-07 György Baranka , Matteo Giordano

We study the behavior of center sectors in pure SU(4) lattice gauge theory at finite temperature. The center sectors are defined as spatial clusters of neighboring sites with values of their local Polyakov loops near the same center…

High Energy Physics - Lattice · Physics 2012-09-18 Michael Dirnberger , Christof Gattringer , Axel Maas

The question of the role of the center of the gauge group in the phenomenon of confinement in Yang-Mills theory is addressed. The investigation is performed from the most general perspective of considering all possible choices for the gauge…

High Energy Physics - Lattice · Physics 2015-06-25 Michele Pepe

Matter-free lattice gauge theories (LGTs) provide an ideal setting to understand confinement to deconfinement transitions at finite temperatures, which is typically due to the spontaneous breakdown (at large temperatures) of the centre…

High Energy Physics - Lattice · Physics 2023-02-20 Indrajit Sau , Arnab Sen , Debasish Banerjee

The equation of state of SU(3) Yang-Mills theory can be modelled by an effective $Z_3-$symmetric potential $V(\vert\phi\vert,\phi^3+\phi^{3*}, T)$ depending on the temperature $T$ and on a scalar field $\phi$ -- the averaged Polyakov loop.…

High Energy Physics - Phenomenology · Physics 2020-10-14 Y. Brihaye , F. Buisseret

The deconfinement transition in SU(4) lattice gauge theory is investigated on N_s^3 X N_t lattices for N_s = 8-16 and N_t = 4-8 using a modified Wilson action which is expected to be free of any bulk transitions. The susceptibility…

High Energy Physics - Lattice · Physics 2009-11-07 Rajiv V. Gavai
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