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Rules for integrals over products of distributions from coordinate independence of path integrals

2001; Springer Science+Business Media; Volume: 19; Issue: 4 Linguagem: Inglês

10.1007/s100520100600

1434-6052

H. Kleinert, A. M. Chervyakov,

Mathematical and Theoretical Analysis

In perturbative calculations of quantum mechanical path integrals in curvilinear coordinates, Feynman diagrams involve multiple temporal integrals over products of distributions, which are mathematically undefined. We derive simple rules for their evaluation from the requirement of coordinate independence of path integrals.