Graph complexes and Feynman rules

Abstract

We investigate Feynman graphs and their Feynman rules from the viewpoint of graph complexes. We focus on graph homology and on the appearance of cubical complexes when either reducing internal edges or when removing them by putting them on the massshell.

48 p, 15 Figures, as to appear in CNTP

References in corpus (9)

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• Recursive relations in the core Hopf algebra
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• A new and complete proof of the Landau condition for pinch singularities of Feynman graphs and other integrals
• Manifestly Causal Loop-Tree Duality
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• Invariant Differential Forms on Complexes of Graphs and Feynman Integrals
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Cited by in corpus (8)

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• Crossing Symmetry in the Planar Limit
• Bananas: multi-edge graphs and their Feynman integrals
• Exposing the threshold structure of loop integrals
• Identifying regions in wide-angle scattering via graph-theoretical approaches
• Invariant Differential Forms on Complexes of Graphs and Feynman Integrals
• Algebraic Interplay between Renormalization and Monodromy
• NNLO QCD corrections to $\gamma \gamma \to Q\bar{Q}$ from Local Unitarity combined with Coulomb resummation and NLO EW effects