World-line Green functions with momentum and source conservations

Abstract

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.

20(+1) pages, one pictex figure

References in corpus (4)

• Exact Combinatorics of Bern-Kosower-type Amplitudes for Two-Loop ${\Phi }^3$ Theory
• One-loop finite temperature effective action of QED in the worldline approach
• Multiloop ${\Phi }^3$ Amplitudes from Bosonic String Theory
• Axion Decay in a Constant Electromagnetic Background Field and at Finite Temperature using World-line Methods

Cited by in corpus (1)

• Perturbative Quantum Field Theory in the String-Inspired Formalism