On dimensional regularization of sums

Details On dimensional regularization of sums On dimensional regularization of sums

2001-12-18

arxiv.org/abs/hep-th/0112161v1

J.Math.Phys. 44 (2003) 570-587

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 1 figure

Scientific paper

10.1063/1.1531215

We discuss a systematic way to dimensionally regularize divergent sums arising in field theories with an arbitrary number of physical compact dimensions or finite temperature. The method preserves the same symmetries of the action as the conventional dimensional regularization and allows an easy separation of the regulated divergence from the finite term that depends on the compactification radius (temperature).

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