The five-twist identity for Feynman periods

2025/05/05 by Schnetz, Oliver · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2505.02578

Abstract

We prove a new identity for Feynman periods that acts on five-vertex cuts of completed primitive Feynman graphs. It is shown that in ϕ⁴ theory this identity is independent from existing identities which are the twist, the Fourier identity and the Fourier split.

Citations

• Tropicalized quantum field theory and global tropical sampling
• Graphical functions with spin
• Feynman integrals at large loop order and the log-Γ distribution
• Geometries in perturbative quantum field theory
• Further investigations into the graph theory of ϕ⁴-periods and the c₂ invariant
• Notes on Motivic Periods
• Modular forms in Quantum Field Theory
• Graphical functions and single-valued multiple polylogarithms

Cited by

• Statistics and asymptotics of subdivergence-free Feynman integrals in ϕ⁴ theory
• Notes on Fourier transform and its application to three-point momentum-space integrals

Related

• Further investigations into the graph theory of ϕ⁴-periods and the c₂ invariant
• Graph Invariants with Connections to the Feynman Period in ϕ⁴ Theory
• Feynman graphs in perturbative quantum field theory
• On the periods of some Feynman integrals
• How are Feynman graphs resumed by the Loop Vertex Expansion?