Mathematica 9 is now available

Wolfram Library Archive

Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings

Evaluating Sums Over the Matsubara Frequencies

A. Nieto
Journal / Anthology

Year: 1993

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 analyzed here. I present a fast and reliable 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.

*Science > Physics > Quantum Physics