1112.3899 (V. V. Belokurov et al.)

Paths with singularities in functional integrals of quantum field theory    [PDF]

V. V. Belokurov, E. T. Shavgulidze

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.

View original: http://arxiv.org/abs/1112.3899