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 and an effective pure‐gauge configuration emerge. The modulus defines the maximal resolution in the coarse‐grained theory and induces dynamical gauge‐symmetry breaking. Thanks to perturbative renormalizability and the fact that 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.
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22 September 2011
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics
19–25 September 2011
Halkidiki, (Greece)
Research Article|
September 22 2011
Thermal Ground State in Yang‐Mills Thermodynamics
Ralf Hofmann
Ralf Hofmann
ITP, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
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Ralf Hofmann
ITP, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
AIP Conf. Proc. 1389, 671–675 (2011)
Citation
Ralf Hofmann; Thermal Ground State in Yang‐Mills Thermodynamics. AIP Conf. Proc. 22 September 2011; 1389 (1): 671–675. https://doi.org/10.1063/1.3636820
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