Evaluating Sums over the Matsubara Frequencies

Details Evaluating Sums over the Matsubara Frequencies Evaluating Sums over the Matsubara Frequencies

1993-11-02

arxiv.org/abs/hep-ph/9311210v1

Comput. Phys. Commun. 92 (1995) 54

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages

Scientific paper

10.1016/0010-4655(95)00061-J

Perturbative calculations in field theory at finite temperature involve sums over the Matsubara frequencies. Besides the usual difficulties that appear in perturbative computations, these sums give rise to some new obstacles that are carefully analized here. I present a fast and realible recipe to work out sums over the Matsubara frequencies. As this algorithm leads to deal with very cumbersome algebraic expressions, it has been written for computers by using the symbolic manipulation program Mathematica. It is also shown this algorithm to be self-consistent when it is applied to more than one loop computations.

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