Massless two-loop self-energy diagram: Historical review

Abstract

This class of diagrams has numerous applications. Many interesting results have been obtained for it.

Extended version of the talk at the conference Advances of quantum field theory, Dubna, October 2011; 19 pages. V2: 2 references added. V3: 2 references added

References in corpus (12)

• HPL, a Mathematica implementation of the harmonic polylogarithms
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• Nested Sums, Expansion of Transcendental Functions and Multi-Scale Multi-Loop Integrals
• HypExp 2, Expanding Hypergeometric Functions about Half-Integer Parameters
• Four Loop Massless Propagators: an Algebraic Evaluation of All Master Integrals
• Extension of HPL to complex arguments
• - XSummer - Transcendental Functions and Symbolic Summation in Form
• Symbolic Expansion of Transcendental Functions
• The Gegenbauer Polynomial Technique: the evaluation of a class of Feynman diagrams
• The massless two-loop two-point function
• On Calculation of $2+\veps$ RG Functions in the Gross Neveu Model from Large $N$ Expansions of Critical Exponents
• Where do the tedious products of zetas come from?

Cited by in corpus (19)

• Bi-scalar integrable CFT at any dimension
• Two-loop fermion self-energy in reduced quantum electrodynamics and application to the ultra-relativistic limit of graphene
• Exact Correlation Functions in Conformal Fishnet Theory
• Multi-loop techniques for massless Feynman diagram calculations
• Generalized Fishnets and Exact Four-Point Correlators in Chiral CFT${}_4$
• On the analytic computation of massless propagators in dimensional regularization
• Note on an application of the method of uniqueness to reduced quantum electrodynamics
• RG stability of integrable fishnet models
• Two-loop fermion self-energy and propagator in reduced QED${}_{3,2}$
• The method of uniqueness and the optical conductivity of graphene: new application of a powerful technique for multi-loop calculations
• Towards the QED beta function and renormalons at $1/N_f^2$ and $1/N_f^3$
• Analytic Coupling Structure of Large $N_f$ (Super) QED and QCD
• Two-loop kite master integral for a correlator of two composite vertices
• Checkerboard CFT
• QCD cusp anomalous dimension: current status
• Mellin$-$Barnes Transformation for Two-Loop Master-Diagram
• New results for a two-loop massless propagator-type Feynman diagram
• Addendum: Long-range multi-scalar models at three loops
• Two-loop mass anomalous dimension in reduced quantum electrodynamics and application to dynamical fermion mass generation