Multiloop Calculations in the String-Inspired Formalism: The Single Spinor-Loop in QED

Christian Schubert; Michael G. Schmidt

Multiloop Calculations in the String-Inspired Formalism: The Single Spinor-Loop in QED

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arxiv hep-th/9410100 v4 pith:IFA5AVRO submitted 1994-10-13 hep-th hep-ph

Michael G. Schmidt , Christian Schubert This is my paper · ORCID

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keywords worldlineformalismalgorithmapproachbern-kosowerbetacalculatedcalculation

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abstract

We use the worldline path-integral approach to the Bern-Kosower formalism for developing a new algorithm for calculation of the sum of all diagrams with one spinor loop and fixed numbers of external and internal photons. The method is based on worldline supersymmetry, and on the construction of generalized worldline Green functions. The two-loop QED $\beta$ -- function is calculated as an example.

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Compton-like scattering of a scalar particle with N photons and one graviton
hep-th 2019-08 accept novelty 6.0 of 10

A master formula and replacement rule compute tree-level amplitudes for a scalar coupled to N photons and one graviton, with gauge and diffeomorphism Ward identities checked for all N.

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