Spatial Wilson loop in continuum, deconfining SU(2) Yang-Mills thermodynamics

Abstract

The uniquess of the effective actions describing 4D SU(2) and SU(3) continuum, infinite-volume Yang-Mills thermodynamics in their deconfining and preconfining phases is made explicit. Subsequently, the spatial string tension is computed in the approach proposed by Korthals-Altes. This SU(2) calculation is based on a particular, effective two-loop correction to the pressure needed for the extraction of the hypothetic number density of isolated and screened magnetic monopoles or antimonopoles in the deconfining phase. By exponentiating the exchange of the tree-level massless but one-loop dressed mode within a quadratic spatial contour of side-length $L$ in the effective theory we demonstrate that for $L\to \infty$ the Wilson loop exhibits {\sl perimeter} law. This is in contrast to a rigorous {\sl lattice} result subject to the Wilson action and for this action valid at sufficiently high temperature. In the framework of the effective theory there is, however, a regime for small (spatially unresolved) $L$ were the exponent of the spatial Wilson loop possesses curvature as a function of $L$.

20 pages, 6 figures, v4: removal of typos, matches journal-published version

References in corpus (8)

• Two-loop QCD gauge coupling at high temperatures
• Nonperturbative approach to Yang-Mills thermodynamics
• Radiative corrections to the pressure and the one-loop polarization tensor of massless modes in SU(2) Yang-Mills thermodynamics
• Thermal photon dispersion law and modified black-body spectra
• Linear growth of the trace anomaly in Yang-Mills thermodynamics
• Irreducible three-loop contributions to the pressure in Yang-Mills thermodynamics
• Potential for inert adjoint scalar field in SU(2) Yang-Mills thermodynamics
• Correlation of energy density in deconfining SU(2) Yang-Mills thermodynamics

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• The isolated, uniformly moving electron: Selfintersecting SU(2) Yang-Mills center vortex loop and Louis de Broglie's hidden thermodynamics
• SU(2) Yang-Mills thermodynamics: a priori estimate and radiative corrections
• Thermodynamics of SU(2) quantum Yang-Mills theory and CMB anomalies
• Onset of magnetic monopole-antimonopole condensation