Friday, March 15, 2013

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.
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