Finite Callan-Symanzik renormalisation for multiple scalar fields

Abstract

We study a finite, divergence free approach to renormalisation originally proposed in the early '70s by Blaer and Young, and Callan. It is based on equations similar to the Callan-Symanzik equations, and introduced in the context of $\lambda {\varphi }^4$ theory. We generalise this method to the case of two interacting scalar fields, with obvious generalisation to an arbitrary number of fields.

Comments: v2: added one paragraph to subsection 4.2.2. v3: added further clarification, slightly reorganised contents, extends the published version