Geodesic
Nonlinear nonlocal substitutions in functional integrals
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 5, pp. 47-59

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It is shown that nonlinear nonlocal substitutions in functional integrals lead to the need of integration over functional spaces that include functions with singularities. This makes it possible to formulate a quantum theory in cases where singularities are essential, e.g., in quantum cosmology. The proper accounting of singularities in functional integrals gives an additional unexpected effect, which we call “quantum restoration of broken symmetry.” 
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     author = {V. V. Belokurov and E. T. Shavgulidze},
     title = {Nonlinear nonlocal substitutions in functional integrals},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_5_a2/}
}
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V. V. Belokurov; E. T. Shavgulidze. Nonlinear nonlocal substitutions in functional integrals. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 5, pp. 47-59. http://geodesic.mathdoc.fr/item/FPM_2016_21_5_a2/