Loop expansion in Yang-Mills thermodynamics

Abstract

We argue that a selfconsistent spatial coarse-graining, which involves interacting (anti)calorons of unit topological charge modulus, implies that real-time loop expansions of thermodynamical quantities in the deconfining phase of SU(2) and SU(3) Yang-Mills thermodynamics are, modulo 1PI resummations, determined by a finite number of connected bubble diagrams.

15 pages, 2 figures, v5: discussion of much more severely constrained nonplanar situation included in Sec. 4

References in corpus (7)

• Nonperturbative approach to Yang-Mills thermodynamics
• An SU(2) KvBLL caloron gas model and confinement
• Radiative corrections to the pressure and the one-loop polarization tensor of massless modes in SU(2) Yang-Mills thermodynamics
• Irreducible three-loop contributions to the pressure in Yang-Mills thermodynamics
• Gap in the black-body spectrum at low temperature
• Explosive Z Pinch
• Regular and chaotic interactions of two BPS dyons at low energy

Cited by in corpus (9)

• Linear growth of the trace anomaly in Yang-Mills thermodynamics
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• SU(2) Yang-Mills Theory: Waves, Particles, and Quantum Thermodynamics
• Massive loops in thermal SU(2) Yang-Mills theory: Radiative corrections to the pressure beyond two loops
• One-loop photon-photon scattering in a thermal, deconfining SU(2) Yang-Mills plasma
• Improved ground-state estimate by thermal resummation
• Thermodynamics of SU(2) quantum Yang-Mills theory and CMB anomalies
• Numerical evidence for loop convergence in Yang-Mills thermodynamics
• Thermal ground state for pure SU(2) Yang-Mills thermodynamics