Path integration of a general two-time quadratic action by prodistribution approach
- 1 June 1985
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 31 (6) , 3574-3578
- https://doi.org/10.1103/physreva.31.3574
Abstract
The theory of prodistributions is applied to path integrate a general two-time quadratic action characterizing memory effects. The resulting Feynman propagator is exact and is in the form of an exponential integral over a single variable. A case where the integral is explicitly evaluated, for an arbitrary memory kernel, is presented to highlight the closed analytical structure of the propagator obtained. All special cases treated in the literature follow from this general expression.Keywords
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