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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages, 2 figures, proceedings of the 8-th International Conference "Path Integrals. From Quantum Information to Cosmology"

Scientific paper

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.

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