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Worldline Green functions for multiloop diagrams

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 propa...

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Detalles Bibliográficos
Autores principales: Schmidt, Michael G., Schubert, Christian
Lenguaje:eng
Publicado: 1994
Materias:
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(94)90944-X
http://cds.cern.ch/record/260940
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author Schmidt, Michael G.
Schubert, Christian
author_facet Schmidt, Michael G.
Schubert, Christian
author_sort Schmidt, Michael G.
collection CERN
description 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.
id cern-260940
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2609402023-03-14T18:53:27Zdoi:10.1016/0370-2693(94)90944-Xhttp://cds.cern.ch/record/260940engSchmidt, Michael G.Schubert, ChristianWorldline Green functions for multiloop diagramsGeneral Theoretical PhysicsWe 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.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.hep-th/9403158HD-THEP-94-7DESY-94-054DESY-94-054HD-THEP-94-7oai:cds.cern.ch:2609401994
spellingShingle General Theoretical Physics
Schmidt, Michael G.
Schubert, Christian
Worldline Green functions for multiloop diagrams
title Worldline Green functions for multiloop diagrams
title_full Worldline Green functions for multiloop diagrams
title_fullStr Worldline Green functions for multiloop diagrams
title_full_unstemmed Worldline Green functions for multiloop diagrams
title_short Worldline Green functions for multiloop diagrams
title_sort worldline green functions for multiloop diagrams
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0370-2693(94)90944-X
http://cds.cern.ch/record/260940
work_keys_str_mv AT schmidtmichaelg worldlinegreenfunctionsformultiloopdiagrams
AT schubertchristian worldlinegreenfunctionsformultiloopdiagrams