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Quark-Gluon Plasma (QGP), a strongly interacting state of the early universe, exhibits remarkably fluid-like behavior despite its underlying non-Abelian dynamics. Motivated by these features, we explore time-dependent SU(2) Yang-Mills…

High Energy Physics - Theory · Physics 2026-01-01 Narasimha Reddy Gosala , Arundhati Dasgupta

The infrared structure of SU(2) Yang-Mills theory is studied by means of lattice gauge simulations using a new constrained cooling technique. This method reduces the action while all Polyakov lines on the lattice remain unchanged. In…

High Energy Physics - Lattice · Physics 2015-03-17 Kurt Langfeld , Ernst-Michael Ilgenfritz

Based on the strong coupling expansion we obtain effective 3-dimensional models for the Polyakov loop in finite-temperature G_2 gluodynamics. The Svetitsky-Jaffe conjecture relates the resulting continuous spin models with G_2 gluodynamics…

High Energy Physics - Lattice · Physics 2015-03-13 Bjoern H. Wellegehausen , Andreas Wipf , Christian Wozar

A phenomenological expression for the thermodynamic potential of gluons and quarks is constructed which incorporates the features of deconfinement and chiral symmetry restoration known from lattice simulations. The thermodynamic potential…

High Energy Physics - Lattice · Physics 2009-11-07 Peter N. Meisinger , Travis R. Miller , Michael C. Ogilvie

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 consider the determination of the finite temperature phase transition in the Yang--Mills SU(3) gauge theory. We compute the difference of the spatial and temporal energy density at a physical Wilson flow time. This difference is zero in…

High Energy Physics - Lattice · Physics 2016-11-23 Michèle Wandelt , Francesco Knechtli , Michael Günther

The massive screened expansion for pure SU(3) Yang-Mills theory is extended to finite temperature in the Landau gauge. All thermal integrals are evaluated analytically up to an external one-dimensional integration, yielding explicit…

High Energy Physics - Theory · Physics 2021-04-21 Fabio Siringo , Giorgio Comitini

We derive an a useful priori estimate for the thermal ground state of deconfining phase of SU(2) Yang-Mills thermodynamics in four-dimensional, flat spacetime and discuss its implications. Upon a selfconsistent spatial coarse-graining over…

High Energy Physics - Theory · Physics 2011-09-28 Ralf Hofmann

We study the nature of the confinement phase transition in d=3+1 dimensions in various non-abelian gauge theories with the approach put forward in [1]. We compute an order-parameter potential associated with the Polyakov loop from the…

High Energy Physics - Phenomenology · Physics 2010-12-15 Jens Braun , Astrid Eichhorn , Holger Gies , Jan M. Pawlowski

G_2 Yang--Mills theory is an interesting laboratory to investigate non-perturbative effects. On one hand, no conventional quark confinement via a linearly rising potential is present. On the other hand, its thermodynamic properties are…

High Energy Physics - Lattice · Physics 2009-01-06 Axel Maas , Stefan Olejnik

We compute the Polyakov loop potential in Yang--Mills theory from the fully dressed primitively divergent correlation functions only. This is done in a variety of functional approaches ranging from functional renormalisation group equations…

High Energy Physics - Phenomenology · Physics 2015-06-12 Leonard Fister , Jan M. Pawlowski

We discuss thermodynamic properties of open confining strings introduced via static sources in the vacuum of Yang-Mills theory. We derive new sum rules for the chromoelectric and chromomagnetic condensates and use them to show that the…

High Energy Physics - Phenomenology · Physics 2020-11-03 M. N. Chernodub

The infrared behavior of Landau gauge gluon and ghost propagators are investigated in Yang-Mills theory at non-vanishing temperatures. Self-consistent solutions are presented for temperatures below the presumed phase transition and in the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Axel Maas , Jochen Wambach , Burghard Gruter , Reinhard Alkofer

We study quark confinement by computing the Polyakov loop potential in Yang--Mills theory within different non-perturbative functional continuum approaches [1]. We extend previous studies in the formalism of the functional renormalisation…

High Energy Physics - Phenomenology · Physics 2013-02-07 Leonard Fister , Jan M. Pawlowski

In this proceeding the emergence of a composite, adjoint-scalar field as an average over (trivial holonomy) calorons and anti-calorons is reviewed. This composite field acts as a background field to the dynamics of perturbative gluons, to…

High Energy Physics - Theory · Physics 2009-06-25 Francesco Giacosa

In the Landau-gauge lattice gluodynamics we find that, both in the SU(2) and SU(3) theory, a correlation of the Polyakov loop with the asymmetry of the $A^2$ gluon condensate as well as with the longitudinal propagator makes it possible to…

High Energy Physics - Lattice · Physics 2022-02-16 V. G. Bornyakov , V. A. Goy , E. A. Kozlovsky , V. K. Mitrjushkin , R. N. Rogalyov

We propose an analytical approach to SU(2) Yang-Mills thermodynamics. The existence of a macroscopic and rigid adjoint Higgs field, generated by dilute trivial-holonomy calorons at large temperature $T$ (electric phase), implies a twofold…

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

We summarize recent nonperturbative results obtained for the thermodynamics of an SU(2) and an SU(3) Yang-Mills theory being in its preconfining (magnetic) phase. We focus on an explanation of the involved concepts and derivations, and we…

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

Yang-Mills theories are an important building block of the standard model and in particular of quantum chromodynamics. Its correlation functions describe the behavior of its elementary particles, the gauge bosons. In quantum chromodynamics,…

High Energy Physics - Phenomenology · Physics 2020-04-23 Markus Q. Huber

The vacuum state of SU(3) gluodynamics at high temperature is investigated. A consistent approach including the calculation of either the spontaneously generated constant chromomagnetic isotopic $H_{3}$ and hypercharge $H_{8}$ fields or the…

High Energy Physics - Phenomenology · Physics 2009-11-07 V. V. Skalozub , A. V. Strelchenko