A new method for the asymptotic evaluation of a class of path integrals
- 1 June 1982
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (6) , 1011-1016
- https://doi.org/10.1063/1.525487
Abstract
A general method of calculating the asymptotic behavior of a class of Wiener path integrals is given. These integrals are averages of functionals of the ’’local time.’’ The technique is essentially a variation on the well-known ’’replica’’ method now widely used in condensed matter physics, combined with the Laplace method for evaluating integrals containing a large parameter. The leading term is given, and from the construction one sees that the error is typically of order 1/t.Keywords
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