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The quantum of action $\hbar$, multiplying in certain powers perturbative vertices in 4D gauge theory, is related to the action of just-not-resolved selfdual and thermal gauge field configurations, calorons and anticalorons, of charge…

General Physics · Physics 2012-11-09 Ralf Hofmann , Dariush Kaviani

The Euclidean formulation of SU(2) Yang-Mills thermodynamics admits periodic, (anti)selfdual solutions to the fundamental, classical equation of motion which possess one unit of topological charge: (anti)calorons. A spatial coarse graining…

High Energy Physics - Theory · Physics 2016-05-02 Thierry Grandou , Ralf Hofmann

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

We review and explain essential characteristics of the a priori estimate of the thermal ground state and its excitations in the deconfining phase of SU(2) Quantum Yang-Mills thermodynamics. This includes the spatially central and peripheral…

General Physics · Physics 2018-08-07 Ralf Hofmann

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 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

At one-loop accuracy we compute, characterize, and discuss the dispersion laws for the three low-momentum branches of propagating longitudinal, electric U(1) fields in the effective theory for the deconfining phase of pure SU(2) Yang-Mills…

High Energy Physics - Theory · Physics 2012-11-09 Carlos Falquez , Ralf Hofmann , Tilo Baumbach

For a deconfining thermal SU(2) Yang-Mills plasma we discuss the role of (anti)calorons in introducing non-thermal behavior effectively described in terms of Planck's quantum of action $\hbar$. This non-thermality cancels exactly between…

General Physics · Physics 2014-06-04 Niko Krasowski , Ralf Hofmann

A semi-classical model is developed to describe pure SU(2) Yang-Mills gluodynamics at finite temperature as a dilute, non-interacting gas of Kraan-van Baal-Lee-Lu calorons including the case of non-trivial holonomy. Temperature dependent…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Gerhold , E. -M. Ilgenfritz , M. Müller-Preussker

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

Phase and modulus of an energy- and pressure-free, composite and adjoint field in an SU(2) Yang-Mills theory are computed. This field is generated by trivial holonomy calorons of topological charge one. It possesses nontrivial $S_1$-winding…

High Energy Physics - Theory · Physics 2007-05-23 Ulrich Herbst

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 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

These lectures contain an introduction to instantons, calorons and dyons of the Yang--Mills gauge theory. Since we are interested in the mechanism of confinement and of the deconfinement phase transition at some critical temperature, the…

High Energy Physics - Phenomenology · Physics 2009-12-04 Dmitri Diakonov

Motivated by the recent high-precision lattice data on Yang-Mills equations of state, we propose an effective theory of SU(3) gluonic matter. The theory is constructed based on the center and scale symmetries and their dynamical breaking,…

High Energy Physics - Phenomenology · Physics 2015-06-16 Chihiro Sasaki , Igor Mishustin , Krzysztof Redlich

The uniquess of the effective actions describing 4D SU(2) and SU(3) continuum, infinite-volume Yang-Mills thermodynamics in their deconfining and preconfining phases is made explicit. Subsequently, the spatial string tension is computed in…

High Energy Physics - Theory · Physics 2014-11-18 Josef Ludescher , Jochen Keller , Francesco Giacosa , Ralf Hofmann

An effective theory based on ensembles of either regular gauge instantons or merons is shown to produce confinement in SU(2) Yang-Mills theory. When the scale is set by the string tension, the action density, topological susceptibility and…

High Energy Physics - Phenomenology · Physics 2008-11-26 F. Lenz , J. W. Negele , M. Thies

We investigate experimental consequences of the postulate that fundamentally photon propagation is governed by an SU(2) rather than a U(1) gauge principle. In the context of thermodynamics the SU(2) Yang-Mills theory is assumed to be in its…

High Energy Physics - Phenomenology · Physics 2011-04-05 Carlos Falquez

The thesis is considering aspects of SU(2) Yang-Mills thermodynamics in its deconfining high-temperature phase. We calculate the two-point correlation function of the energy density of the photon in a thermalized gas, at first in the…

High Energy Physics - Theory · Physics 2008-12-15 Jochen Keller

Instantons in pure Yang-Mills theories on partially periodic space $\mathbb{R}^3\times S^1$ are usually called calorons. The background periodicity brings on characteristic features of calorons such as non-trivial holonomy, which plays an…

High Energy Physics - Theory · Physics 2018-07-04 T. Kato , A. Nakamula , K. Takesue
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