The Action Principle in Epstein Glaser Renormalization and Renormalization of the S-Matrix in $\phi^4$-Theory

TL;DR

This paper derives a formula for finite renormalizations within the Epstein-Glaser formalism and explicitly calculates counterterms in -theory, emphasizing the action principle and Zimmermann identities.

Contribution

It introduces a new formula for finite renormalizations and performs explicit calculations of counterterms in -theory, independent of the adiabatic limit.

Findings

Derived a formula for finite renormalizations in Epstein-Glaser formalism.

Explicit calculation of finite counterterms in -theory.

Presented Zimmermann identities and the action principle independently of the adiabatic limit.

Abstract

A formula describing finite renormalizations is derived in the Epstein-Glaser formalism and an explicit calculation of finite counterterms in $\Phi ^4$-theory is performed. The Zimmermann identities and the action principle for changes of parameters in the interaction are presented independent of the adiabatic limit.