Non perturbative series for the calculation of one loop integrals at finite temperature

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The calculation of one loop integrals at finite temperature requires the evaluation of certain series, which converge very slowly or can even be divergent. Here we review a new method, recently devised by the author, for obtaining accelerated analytical expressions for these series. The fundamental properties of the new series are studied and an application to a physical example is considered. The relevance of the method to other physical problems is also discussed.
8 pages, 2 figures, proceedings of the 8-th International Conference "Path Integrals. From Quantum Information to Cosmology"

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