On the local limit of quantum field theories defined on the loop space

Abstract

The local limit of a quantum field theory on the loop space is studied. It is proved that the invariance of the theory with respect to the group of diffeomorphisms leads to Feynman diagrams convergence in the local limit.

References in corpus (1)

• Renormalizable quantum field theory as a limit of a quantum field model on the loop space

Cited by in corpus (2)

• Paths with singularities in functional integrals of quantum field theory
• Masses of quantum particles as a result of diffeomorphisms