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On dimensional regularization of sums

High Energy Physics - Theory 2009-11-07 v1 Condensed Matter High Energy Physics - Phenomenology

Abstract

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).

Keywords

Cite

@article{arxiv.hep-th/0112161,
  title  = {On dimensional regularization of sums},
  author = {Roberto Contino and Andrea Gambassi},
  journal= {arXiv preprint arXiv:hep-th/0112161},
  year   = {2009}
}

Comments

22 pages, 1 figure