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We present a massively parallel algorithm for calculating the self-energy inself-consistent finite temperature perturbation theory for lattice models. Thealgorithm uses analytic functions with appropriate asymptotic high frequencybehavior and fast Fourier transforms to accurately calculate the self-energy atlow-frequency. Traditional methods that truncate the high frequency tails ofthe temperature Green's function lead to `contamination' of the low-frequencybehavior of the self-energy. Our algorithm is both accurate and scalable. Wecompare results for the Hubbard model using various techniques for handling thehigh frequency tails of the temperature Green's function.

Improved Treatment of Frequency Sums in Propagator-Renormalized Perturbation Theories