Differential Renormalization of Scalar Field Theory in the Background-Field Method

Abstract

We introduce an approach for calculating the quantum loop corrections in the ${\varphi }^4$ theory. Differential regularization and background-field method are essential tools and are used to calculate the effective action of the theory to two-loop order. Our approach is considerably simpler than other known methods and can be readily extended to higher-loop calculations and to other models.

12 pages