Symmetry factors of Feynman diagrams and the homological perturbation lemma

A bstract We discuss the symmetry factors of Feynman diagrams of scalar field theories with polynomial potential. After giving a concise general formula for them, we present an elementary and direct proof that when computing scattering amplitudes using the homological perturbation lemma, each contri...

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Published inThe journal of high energy physics Vol. 2020; no. 12; pp. 1 - 20
Main Authors Saemann, Christian, Sfinarolakis, Emmanouil
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2020
Springer Nature B.V
SpringerOpen
Subjects
Classical and Quantum Gravitation
Elementary Particles
Feynman diagrams
High energy physics
Homology
Perturbation
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
Scattering Amplitudes
String Field Theory
String Theory
Symmetry
String Field Theory
Scattering Amplitudes
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Summary:A bstract We discuss the symmetry factors of Feynman diagrams of scalar field theories with polynomial potential. After giving a concise general formula for them, we present an elementary and direct proof that when computing scattering amplitudes using the homological perturbation lemma, each contributing Feynman diagram is indeed included with the correct symmetry factor.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2020)088