Semiclassical thermodynamics of scalar fields

Details Semiclassical thermodynamics of scalar fields Semiclassical thermodynamics of scalar fields

2007-05-10

arxiv.org/abs/0705.1531v1

JHEP 0708:007,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

24 pages, 5 postscript figures

Scientific paper

10.1088/1126-6708/2007/08/007

We present a systematic semiclassical procedure to compute the partition function for scalar field theories at finite temperature. The central objects in our scheme are the solutions of the classical equations of motion in imaginary time, with spatially independent boundary conditions. Field fluctuations -- both field deviations around these classical solutions, and fluctuations of the boundary value of the fields -- are resummed in a Gaussian approximation. In our final expression for the partition function, this resummation is reduced to solving certain ordinary differential equations. Moreover, we show that it is renormalizable with the usual 1-loop counterterms.

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