On Peculiarities and Pit Falls in Path Integrals

Abstract

Path integrals can be rigorously defined only in low dimensional systems where the small distance limit can be taken. Particularly non-trivial models in more than four dimensions can only be handled with considerable amount of speculation. In this lecture we try to put these various aspects in perspective.

Opening Lecture given at the 7th International Conference on Path Integrals, "From Quarks to Galaxies", Antwerp, 27 to 31 May 2002. Uses gthstyle.sty Reprt-no: ITF-2002/41; SPIN-2002/23

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