English

Zeta functions, renormalization group equations, and the effective action

High Energy Physics - Theory 2009-10-31 v1

Abstract

We demonstrate how to extract all the one-loop renormalization group equations for arbitrary quantum field theories from knowledge of an appropriate Seeley--DeWitt coefficient. By formally solving the renormalization group equations to one loop, we renormalization group improve the classical action, and use this to derive the leading-logarithms in the one-loop effective action for arbitrary quantum field theories.

Keywords

Cite

@article{arxiv.hep-th/9809206,
  title  = {Zeta functions, renormalization group equations, and the effective action},
  author = {David Hochberg and Carmen Molina-Paris and Juan Perez-Mercader and Matt Visser},
  journal= {arXiv preprint arXiv:hep-th/9809206},
  year   = {2009}
}

Comments

4 pages, ReV-TeX 3.1

R2 v1 2026-07-22T16:12:18.081Z