Worldline Green functions for multiloop diagrams

1994/03/25 by Michael G. Schmidt, M. G. Schmidt, Christian Schubert +1 · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #hep-ph #hep-th

paper · pdf · doi:10.1016/0370-2693(94)90944-x

published as Phys.Lett. B331 (1994) 69-76 · 12 pages, uuencoded compressed ps-file, HD-THEP-94-7

arxiv created 1994/03/25 · openalex publication_date 1994/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose a multiloop generalization of the Bern-Kosower formalism, based on Strassler's approach of evaluating worldline path integrals by worldline Green functions. Those Green functions are explicitly constructed for the basic two-loop graph, and for a loop with an arbitrary number of propagator insertions. For scalar and abelian gauge theories, the resulting integral representations allow to combine whole classes of Feynman diagrams into compact expressions.

Citations

• On the Calculation of Effective Actions by String Methods
• Non-linear electrodynamics from quantized strings

Cited by

• Bern-Kosower rule for scalar QED
• Worldline formalism in a gravitational background