Journal
PHYSICAL REVIEW D
Volume 85, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.85.045019
Keywords
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Funding
- Direccion General de Investigacion (DGI) [FIS2008-01143]
- Junta de Andalucia [FQM-225]
- CPAN [CSD2007-00042]
- European Community-Research Infrastructure Integrating Activity Study of Strongly Interacting Matter [227431]
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The method of covariant symbols of Pletnev and Banin is extended to space-times with topology R-n x S-1 X center dot center dot center dot X S-1. By means of this tool, we obtain explicit formulas for the diagonal matrix elements and the trace of the heat kernel at finite temperature to fourth order in a strict covariant derivative expansion. The role of the Polyakov loop is emphasized. Chan's formula for the effective action to one-loop is similarly extended. The expressions obtained apply formally to a larger class of spaces, h-spaces, with an arbitrary weight function h(p) in the integration over the momentum of the loop.
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