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Regularizing Feynman path integrals using the generalized Kontsevich-Vishik trace

Regularizing Feynman path integrals using the generalized Kontsevich-Vishik trace

A fully regulated definition of Feynman’s path integral is presented here. The proposed re-formulation of the path integral coincides with the familiar formulation whenever the path integral is well defined. In particular, it is consistent with respect to lattice formulations and Wick rotations, i.e., it can be used in Euclidean …