English

Carroll limit of one-loop effective action

High Energy Physics - Theory 2025-02-18 v2

Abstract

In this paper, we consider a Carroll magnetic limit of a one-loop scalar effective action. We work on general static backgrounds and compute both divergent and finite parts of the effective action in this limit. We show, that the divergent part can be removed by adding local counterterms. The finite part is related to an effective action in a lower dimensional theory which however does not coincide in general with the one obtained by a Carroll limit in the classical counterpart.

Keywords

Cite

@article{arxiv.2410.23616,
  title  = {Carroll limit of one-loop effective action},
  author = {Dmitri Vassilevich},
  journal= {arXiv preprint arXiv:2410.23616},
  year   = {2025}
}

Comments

14 pages, v2: comments and reference added, accepted in PRD

R2 v1 2026-06-28T19:42:22.443Z