Paths with singularities in functional integrals of quantum field theory

Abstract

In the toy model (${\varphi }^4$-interacting quantum field theory in one-dimensional "Euclidean" space-time) we prove that the functional integrals of the free field theory evaluated over the space of continuous functions are equal to the functional integrals of the interacting field theory evaluated over a set of spaces containing the spaces of discontinuous functions.

References in corpus (1)

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

Cited by in corpus (6)

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• A class of exactly solvable quantum models of scalar gravity
• Quantum restoration of broken symmetries
• Masses of quantum particles as a result of diffeomorphisms
• A quantum mechanical model of "dark matter"
• Peculiar spaces of relativistic quantum fields