Abstract
We discuss the static path plus random phase approximation (SPA+RPA) to the partition function of warm finite nuclei. The method, derived from the auxiliary field path integral representation of the partition function, takes into account large amplitude statistical fluctuations around the mean field, and is able to provide an accurate evaluation of thermodynamics properties within finite configuration spaces. We present some recent improvements which include the treatment of repulsive terms in the interaction, the exact implementation in canonical and in restricted grand canonical ensembles with fixed number parity, and the evaluation of response and strength functions.
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