Thermal Ground State in YangMills Thermodynamics
Abstract
We derive an a useful priori estimate for the thermal ground state of deconfining phase of SU(2) YangMills thermodynamics in fourdimensional, flat spacetime and discuss its implications. Upon a selfconsistent spatial coarsegraining over noninteracting, trivialholonomy (BPS saturated) (anti)calorons of unit topological charge modulus an inert, adjoint scalar field φ and an effective puregauge configuration aμgs emerge. The modulus φ>0 defines the maximal resolution in the coarsegrained theory and induces dynamical gaugesymmetry breaking. Thanks to perturbative renormalizability and the fact that φ can not absorb or emit energymomentum the effective action is local and simple. The temperature dependence of the effective coupling is a consequence of thermodynamical consistency and describes the Coulomb screening of a static test charge due to shortlived monopoleantimonopole pairs. The latter occur unresolvably as smallholonomy excitations of (anti)calorons by the absorption of propagating fundamental gauge fields.
 Publication:

Numerical Analysis and Applied Mathematics ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics
 Pub Date:
 September 2011
 DOI:
 10.1063/1.3636820
 arXiv:
 arXiv:1109.5857
 Bibcode:
 2011AIPC.1389..671H
 Keywords:

 symmetry breaking;
 perturbation theory;
 renormalization;
 polarization in elementary particle interactions;
 11.30.Qc;
 11.15.Bt;
 11.10.Gh;
 13.88.+e;
 Spontaneous and radiative symmetry breaking;
 General properties of perturbation theory;
 Renormalization;
 Polarization in interactions and scattering;
 High Energy Physics  Theory
 EPrint:
 5 pages