Abstract
We use a path integral formalism to derive a semiclassical series for the partition function of a particle in D dimensions. In particular we analyze the case of attractive central potentials, obtaining explicit expressions for the fluctuation determinant and for the semiclassical two-point function in the special cases of the harmonic and single-well quartic anharmonic oscillators. The specific heat of the latter is compared to precise WKB estimates. We conclude by discussing the possible extension of our results to field theories.
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