Position space equations for banana Feynman diagrams

DOI10.1016/j.nuclphysb.2023.116245zbMath1523.81079arXiv2303.08851OpenAlexW4378174249MaRDI QIDQ6159661

V. Mishnyakov, A. Yu. Morozov, P. Suprun

Publication date: 20 June 2023

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.08851

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Loop spaces (55P35) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (1)

Banana integrals in configuration space

Cites Work

• Unnamed Item
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• An analytic result for the two-loop hexagon Wilson loop in \( \mathcal{N} = 4 \) SYM
• Simple loop integrals and amplitudes in \( \mathcal{N} = 4 \) SYM
• The elliptic dilogarithm for the sunset graph
• Elliptic Feynman integrals and pure functions
• Ward identities and combinatorics of rainbow tensor models
• On the Hopf algebra strucutre of perturbative quantum field theories
• Renormalization in quantum field theory and the Riemann-Hilbert problem
• An elliptic generalization of multiple polylogarithms
• Local mirror symmetry and the sunset Feynman integral
• Coordinate space calculation of two- and three-loop sunrise-type diagrams, elliptic functions and truncated Bessel integral identities
• Feynman amplitudes, coaction principle, and cosmic Galois group
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• An introduction to motivic Feynman integrals
• Analytic structure of all loop banana integrals
• Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space
• New and old results in resultant theory
• Rainbow tensor model with enhanced symmetry and extreme melonic dominance
• Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives
• BOGOLUBOV'S RECURSION AND INTEGRABILITY OF EFFECTIVE ACTIONS
• Mathematical Aspects of Scattering Amplitudes
• Cluster polylogarithms for scattering amplitudes
• The physics and the mixed Hodge structure of Feynman integrals
• Motives: an introductory survey for physicists
• Integrability and matrix models
• Scattering amplitudes, Feynman integrals and multiple polylogarithms
• Elliptic integral evaluations of Bessel moments and applications
• Feynman integrals and motives
• Differential Equations and Feynman Integrals
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
• The ice cone family and iterated integrals for Calabi-Yau varieties

This page was built for publication: Position space equations for banana Feynman diagrams