The asymptotic evaluation of a class of path integrals. II

Autor:	J. M. Luttinger
Rok vydání:	1983
Předmět:	Order of integration (calculus) Set (abstract data type) Class (set theory) Analytic continuation Mathematical analysis Path integral formulation Applied mathematics Statistical and Nonlinear Physics Field (mathematics) Algebra over a field Mathematical Physics Mathematics
Zdroj:	Journal of Mathematical Physics. 24:2070-2073
ISSN:	1089-7658 0022-2488
DOI:	10.1063/1.525949
Popis:	The asymptotic behavior of a class of Wiener‐like path integrals (functions of the ‘‘local time’’) is determined. These integrals are of interest in themselves and also arise very naturally in the theory of disordered systems. We show that by making use of a Grassman algebra (i.e., a set of anticommuting variables), the earlier treatment of this problem can be greatly simplified. In particular, the previous use of ‘‘replica trick’’ (which involves a difficult to justify analytic continuation in the number of field components) is thus avoided.
Databáze:	OpenAIRE
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