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

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

1999-12-12

arxiv.org/abs/quant-ph/9912056v2

Phys.Lett. B47 (2000) 373

Physics

Quantum Physics

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://w

Scientific paper

10.1016/S0370-2693(00)00199-4

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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