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Title: Thermal Ground State in Yang-Mills Thermodynamics

Abstract

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 noninteracting, trivial-holonomy (BPS saturated)(anti)calorons of unit topological charge modulus an inert, adjoint scalar field |{phi}| and an effective pure-gauge configuration a{sub {mu}}{sup gs} emerge. The modulus |{phi}|>0 defines the maximal resolution in the coarse-grained theory and induces dynamical gauge-symmetry breaking. Thanks to perturbative renormalizability and the fact that |{phi}| can not absorb or emit energy-momentum 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 short-lived monopole-antimonopole pairs. The latter occur unresolvably as small-holonomy excitations of (anti)calorons by the absorption of propagating fundamental gauge fields.

Authors:
 [1]
  1. ITP, Universitaet Heidelberg, Philosophenweg 16, 69120 Heidelberg (Germany)
Publication Date:
OSTI Identifier:
21611614
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1389; Journal Issue: 1; Conference: ICNAAM 2011: Conference on numerical analysis and applied mathematics, Halkidiki (Greece), 19-25 Sep 2011; Other Information: DOI: 10.1063/1.3636820; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ABSORPTION; ACTION INTEGRAL; COUPLING; EXCITATION; FOUR-DIMENSIONAL CALCULATIONS; GAUGE INVARIANCE; GROUND STATES; PERTURBATION THEORY; POLARIZATION; QUANTUM FIELD THEORY; RENORMALIZATION; SCALAR FIELDS; SPACE-TIME; SYMMETRY BREAKING; TEMPERATURE DEPENDENCE; THERMODYNAMICS; TOPOLOGY; YANG-MILLS THEORY; ENERGY LEVELS; ENERGY-LEVEL TRANSITIONS; FIELD THEORIES; INTEGRALS; INVARIANCE PRINCIPLES; MATHEMATICS; SORPTION

Citation Formats

Hofmann, Ralf. Thermal Ground State in Yang-Mills Thermodynamics. United States: N. p., 2011. Web. doi:10.1063/1.3636820.
Hofmann, Ralf. Thermal Ground State in Yang-Mills Thermodynamics. United States. doi:10.1063/1.3636820.
Hofmann, Ralf. Thu . "Thermal Ground State in Yang-Mills Thermodynamics". United States. doi:10.1063/1.3636820.
@article{osti_21611614,
title = {Thermal Ground State in Yang-Mills Thermodynamics},
author = {Hofmann, Ralf},
abstractNote = {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 noninteracting, trivial-holonomy (BPS saturated)(anti)calorons of unit topological charge modulus an inert, adjoint scalar field |{phi}| and an effective pure-gauge configuration a{sub {mu}}{sup gs} emerge. The modulus |{phi}|>0 defines the maximal resolution in the coarse-grained theory and induces dynamical gauge-symmetry breaking. Thanks to perturbative renormalizability and the fact that |{phi}| can not absorb or emit energy-momentum 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 short-lived monopole-antimonopole pairs. The latter occur unresolvably as small-holonomy excitations of (anti)calorons by the absorption of propagating fundamental gauge fields.},
doi = {10.1063/1.3636820},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1389,
place = {United States},
year = {2011},
month = {9}
}