Reparametrization Invariance of Perturbatively Defined Path Integrals. II. Integrating Products of Distributions

Abstract

We show how to perform integrals over products of distributions in coordinate space such as to reproduce the results of momentum space Feynman integrals in dimensional regularization. This ensures the invariance of path integrals under coordinate transformations. The integrals are uniquely defined by expressing the propagators in 1- epsilon dimensions in terms of modified Bessel functions.

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References in corpus (2)

• Reparametrization Invariance of Path Integrals
• Perturbation Theory for Particle in a Box

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