Paths with singularities in functional integrals of quantum field theory
High Energy Physics - Theory
2013-03-15 v2 Mathematical Physics
math.MP
Abstract
In the toy model (-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.
Keywords
Cite
@article{arxiv.1112.3899,
title = {Paths with singularities in functional integrals of quantum field theory},
author = {V. V. Belokurov and E. T. Shavgulidze},
journal= {arXiv preprint arXiv:1112.3899},
year = {2013}
}