MASSLESS TWO-LOOP SELF-ENERGY DIAGRAM: HISTORICAL REVIEW

DOI10.1142/S0217751X12300189zbMath1260.81181arXiv1206.2572OpenAlexW3099109113MaRDI QIDQ4912553

Andrey G. Grozin

Publication date: 4 April 2013

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2572

zbMATH Keywords

multiloop Feynman diagrams

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) History of quantum theory (81-03) Feynman diagrams (81T18) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02)

Related Items (9)

Mellin-Barnes transformation for two-loop master-diagram ⋮ Resurgence analysis of the Adler function at \(\mathcal{O}(1/N_f^2)\) ⋮ On the analytic computation of massless propagators in dimensional regularization ⋮ RG stability of integrable fishnet models ⋮ The method of uniqueness and the optical conductivity of graphene: new application of a powerful technique for multiloop calculations ⋮ Exact correlation functions in conformal fishnet theory ⋮ New results for a two-loop massless propagator-type Feynman diagram ⋮ Generalized fishnets and exact four-point correlators in chiral $\mathrm{CFT}_{4}$ ⋮ Holonomic Anti-Differentiation and Feynman Amplitudes

Uses Software

• XSummer
• Nestedsums

Cites Work

• Four loop massless propagators: an algebraic evaluation of all master integrals
• XSummer -- transcendental functions and symbolic summation in form
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Hypexp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Hypexp 2, expanding hypergeometric functions about half-integer parameters
• The massless two-loop two-point function
• Where do the tedious products of \(\zeta\)'s come from?
• Symbolic expansion of transcendental functions
• The Gegenbauer polynomial technique: The evaluation of a class of Feynman diagrams
• Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

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