Reparametrization invariance of path integrals
Abstract
We demonstrate the reparametrization invariance of perturbatively defined onedimensional functional integrals up to the threeloop level for a path integral of a quantummechanical 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.
 Publication:

Physics Letters B
 Pub Date:
 October 1999
 DOI:
 10.1016/S03702693(99)009430
 arXiv:
 arXiv:hepth/9906156
 Bibcode:
 1999PhLB..464..257K
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter
 EPrint:
 Author Information under http://www.physik.fuberlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fuberlin.de/~kleinert/kleiner_re289/preprint.html