Brazilian Journal of Physics
On-line version ISSN 1678-4448
BESSA, A.; CARVALHO, C.A.A. de; FRAGA, E.S. and GELIS, F.. Semiclassical approximation for the partition function in QFT. Braz. J. Phys. [online]. 2007, vol.37, n.1a, pp. 30-32. ISSN 1678-4448. http://dx.doi.org/10.1590/S0103-97332007000100011.
In this paper we discuss the semiclassical approximation for the thermodynamics of scalar fields. We construct a semiclassical propagator in terms of two solutions of an ordinary differential equation. The main result is an analytic (non-perturbative) expression for the partition function written in terms of known quantities.
Keywords : Semiclassical approximation; Thermodynamics of scalar fields; Partition function.