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Stochastic regularization of quantum field theory

โœ Scribed by A Niemi; L.C.R Wijewardhana


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
798 KB
Volume
140
Category
Article
ISSN
0003-4916

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โœฆ Synopsis


The equivalence between a D-dimensional classical field theory coupled to an external random source having Gaussian correlations and its D -2 dimensional quantum counterpart was established. Utilizing this equivalence, a regularization procedure for scalar theories is developed. The regularization amounts to a compactification of the extra two dimensions. The regularization scheme is interpreted in terms of superpropagator modifications. * This work is supported in part through funds provided by the U.S. Department of Energy (DOE) under Contract DE-AC02-76ER0 3069. ' In stochastic quantization schemes external random sources are introduced in the six-dimensional space. Here we consider only the case when these random sources have Gaussian correlations 247


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