Reparametrization Invariance of Path Integrals

Details Reparametrization Invariance of Path Integrals Reparametrization Invariance of Path Integrals

1999-06-20

arxiv.org/abs/hep-th/9906156v2

Phys.Lett. B464 (1999) 257-264

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0370-2693(99)00943-0

We demonstrate the reparametrization invariance of perturbatively defined one-dimensional functional integrals up to the three-loop level for a path integral of a quantum-mechanical point particle in a box. We exhibit the origin of the failure of earlier authors to establish reparametrization invariance which led them to introduce, superfluously, a compensating potential depending on the connection of the coordinate system. We show that problems with invariance are absent by defining path integrals as the epsilon-> 0 -limit of 1+ epsilon -dimensional functional integrals.

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