English

Regularization by $\varepsilon$-metric. II. Limit $\varepsilon = + 0$

High Energy Physics - Theory 2020-02-26 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

In a wide class of propagators regularized by the ε\varepsilon-metric [1], the RR-operation is formulated. It is proved that the limit of renormalized Feynman integrals exists and is covariant. Possible applications in gravity are discussed. (The paper is an English translation of the second of two articles in Russian published by the author in 1987-88: V.D. Ivashchuk, Regularization by ε\varepsilon-metric. II. Limit ε=+0\varepsilon = +0, Izvestiya Akademii Nauk Moldavskoy SSR, Ser. fiziko-tekhnicheskih i matematicheskih nauk, No. 1, p. 10-20 (1988) [in Russian] .)

Keywords

Cite

@article{arxiv.2002.10527,
  title  = {Regularization by $\varepsilon$-metric. II. Limit $\varepsilon = + 0$},
  author = {V. D. Ivashchuk},
  journal= {arXiv preprint arXiv:2002.10527},
  year   = {2020}
}

Comments

18 pages + 2 pages of additional references, MS WORD. The paper is an English translation of the second of two articles in Russian published by the author in 1987-88

R2 v1 2026-06-23T13:52:18.940Z