Thermal Ground State in Yang-Mills Thermodynamics

Journal Article · Thu Sep 22 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3636820· OSTI ID:21611614

Hofmann, Ralf ^[1]

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1. ITP, Universitaet Heidelberg, Philosophenweg 16, 69120 Heidelberg (Germany)

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.

• OSTI ID: 21611614
• Journal Information: AIP Conference Proceedings, Vol. 1389, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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