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An analytical and inductive approach to hot SU(N) Yang-Mills dynamics is developed. For N=2,3 pressure and energy density are pointwise compared with lattice data.

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

An analytical and nonperturbative approach to SU(2) and SU(3) Yang-Mills thermodynamics is developed and applied. Each theory comes in three phases: A deconfining, a preconfining, and a confining one. We show how macroscopic and inert…

High Energy Physics - Theory · Physics 2010-11-05 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 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 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

We sketch the development of effective theories for SU(2) and SU(3) Yang-Mills thermodynamics. The most important results are quoted and some implications for particle physics and cosmology are discussed.

High Energy Physics - Theory · Physics 2008-11-26 Ralf Hofmann

Using a Dyson--Schwinger approach, we perform an analysis of the non-trivial ground state of thermal $SU(N)$ Yang--Mills theory in the non-perturbative regime where chiral symmetry is dynamically broken by a mass gap. Basic thermodynamic…

High Energy Physics - Phenomenology · Physics 2025-04-03 Marco Frasca , Anish Ghoshal , Stefan Groote

We present a quantitative analysis of Yang-Mills thermodynamics in 4D flat spacetime. The focus is on the gauge group SU(2). Results for SU(3) are mentioned in passing. Although all essential arguments and results were reported elsewhere we…

High Energy Physics - Theory · Physics 2009-11-05 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 confining (center) phase. This phase is associated with a dynamical breaking of the local magnetic center…

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

The thermodynamics of four-dimensional SU(2) N=2 super-Yang-Mills theory is examined in both high and low temperature regimes. At low temperatures, compelling evidence is found for two distinct equilibrium states related by a spontaneously…

High Energy Physics - Theory · Physics 2010-04-23 Steve Paik , Laurence G. Yaffe

Thermodynamics of d=4, N=4 supersymmetric SU(N) Yang-Mills theory is studied with particular attention on perturbative expansion at weak `t Hooft coupling regime and interpolation to strong coupling regime thereof. Non-ideal gas effect to…

High Energy Physics - Theory · Physics 2009-10-31 Chanju Kim , Soo-Jong Rey

In the first part of this talk we review some prerequisites for and essential arguments involved in the construction of the thermal-ground-state estimate for the deconfining phase in the thermodynamics of SU(2) Quantum Yang-Mills theory and…

General Physics · Physics 2018-11-27 Ralf Hofmann

Based on quantitative predictions enabled by a nonperturbative approach to Yang-Mills thermodynamics it is explained why the physics of photon {\sl propagation} is not unlikely rooted in pure SU(2) gauge dynamics.

High Energy Physics - Phenomenology · Physics 2007-10-08 Ralf Hofmann

In the lattice work by Miller [1,2] and in the work by Zwanziger [3] a linear growth of the trace anomaly for high temperatures was found in pure SU(2) and SU(3) Yang-Mills theories. These results show the remarkable property that the…

High Energy Physics - Theory · Physics 2008-11-26 Francesco Giacosa , Ralf Hofmann

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

I present a novel analytic framework for $SU(N)$ Yang-Mills theory in the four-dimensional continuum. Background and effective field theory techniques are used to include non-perturbative contributions from cubic and quartic interactions.…

Nuclear Theory · Physics 2024-12-16 Seth Grable

We discuss some of the recent developments of N=1 super Yang-Mills theories in the context of the gauge-string correspondence.

High Energy Physics - Theory · Physics 2009-11-10 Paolo Merlatti

The numerical results for the computed moduli of the irreducible three-loop contributions to the thermodynamical pressure of an SU(2) Yang-Mills theory in the effective theory for the deconfinning phase are explained in detail. Irreducible…

High Energy Physics - Theory · Physics 2009-05-13 Dariush Kaviani

We review the thermodynamics of the confined and unconfined phases of superconformal Yang-Mills at large N on a three-sphere, focussing especially on the confinement-deconfinement transition. We determine an N-dependent phase boundary and…

High Energy Physics - Theory · Physics 2014-11-18 Maulik K. Parikh

We elucidate how Quantum Thermodynamics at temperature $T$ emerges from pure and classical SU(2) Yang-Mills theory on a four-dimensional Euclidean spacetime slice $S_1\times {\bf R}^3$. The concept of a (deconfining) thermal ground state,…

General Physics · Physics 2016-08-26 Ralf Hofmann

New results on the topology of the SU(2) Yang-Mills theory are presented. At zero temperature we obtain the value of the topological susceptibility by using the recently introduced smeared operators as well as a properly renormalized…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , R. Kirchner
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