Regularization of Propagators and Logarithms in the Background Field Method in Four Dimensions


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

Abstract

Determinant and higher-loop terms, usually treated by the Pauli–Villars and higher covariant derivatives methods, in the background field method can hardly be regularized simultaneously. At the same time, we observe that introducing a scalar multiplier in front of the quadratic form, which is equivalent to changing the measure in the functional integral, influences only the determinant part of the effective action. This allows one to choose the integration measure and the function in the regularized propagator in such a way as to make all terms in the expansion finite.

About the authors

T. A. Bolokhov

St. Petersburg Department of Steklov Institute of Mathematics

Author for correspondence.
Email: timur@pdmi.ras.ru
Russian Federation, St. Petersburg

Supplementary files

Supplementary Files
Action
1. JATS XML

Copyright (c) 2019 Springer Science+Business Media, LLC, part of Springer Nature