World-line Green functions with momentum and source conservations

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20(+1) pages, one pictex figure

Scientific paper

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.

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