World-line Green functions with momentum and source conservations

Based on the generating functional method with an external source function, a useful constraint on the source function is proposed for analyzing the one- and two-loop world-line Green functions. The constraint plays the same role as the momentum conservation law of a certain nontrivial form, and tra...

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Bibliographic Details
Published in:Journal of mathematical physics 1999-11, Vol.40 (11), p.5641-5656
Main Author: Sato, Haru-Tada
Format: Article
Language:English
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Summary:Based on the generating functional method with an external source function, a useful constraint on the source function is proposed for analyzing the one- and two-loop world-line Green functions. The constraint plays the same role as the momentum conservation law of a certain nontrivial form, and transforms ambiguous Green functions into the uniquely defined Green functions. We also argue reparametrizations of the Green functions defined on differently parameterized world-line diagrams.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.533049