Semiclassical thermodynamics of scalar fields
Andre Bessa; Carlos Alberto Aragao de Carvalho; Eduardo Souza Fraga; Francois Gelis
Журнал:
Journal of High Energy Physics
Дата:
2007-08-01
Аннотация:
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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