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Paths with singularities in functional integrals of quantum field theory (1112.3899v2)
Published 16 Dec 2011 in hep-th, math-ph, and math.MP
Abstract: 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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