Table of Contents
ISRN High Energy Physics
Volume 2012, Article ID 373121, 20 pages
Research Article

Emergent Inert Adjoint Scalar Field in SU(2) Yang-Mills Thermodynamics due to Coarse-Grained Topological Fluctuations

1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
2Institut für Theoretische Physik, Universität Frankfurt, Johann Wolfgang Goethe-Universität, Max von Laue-Straβe 1, 60438 Frankfurt, Germany

Received 3 November 2011; Accepted 6 December 2011

Academic Editor: A. Belhaj

Copyright © 2012 Ulrich Herbst and Ralf Hofmann. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We compute the phase and the modulus of an energy- and pressure-free, composite, adjoint, and inert field πœ™ in an SU(2) Yang-Mills theory at large temperatures. This field is physically relevant in describing part of the ground-state structure and the quasiparticle masses of excitations. The field πœ™ possesses nontrivial 𝑆 1 -winding on the group manifold 𝑆 3 . Even at asymptotically high temperatures, where the theory reaches its Stefan-Boltzmann limit, the field πœ™ , though strongly power suppressed, is conceptually relevant: its presence resolves the infrared problem of thermal perturbation theory.