Paths with singularities in functional integrals of quantum field theory

Details Paths with singularities in functional integrals of quantum field theory Paths with singularities in functional integrals of quantum field theory

2011-12-16

arxiv.org/abs/1112.3899v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

In the toy model ($ \phi^{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.

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