Differential Equations for Definition and Evaluation of Feynman Integrals

Abstract

It is shown that every Feynman integral can be interpreted as Green function of some linear differential operator with constant coefficients. This definition is equivalent to usual one but needs no regularization and application of $R$-operation. It is argued that presented formalism is convenient for practical calculations of Feynman integrals.

pages, LaTEX, MSU-PHYS-HEP-Lu2/94

References in corpus (2)

• Two-loop two-point functions with masses: asymptotic expansions and Taylor series, in any dimension
• Differential Renormalization of Massive Quantum Field Theories

Cited by in corpus (4)

• Feynman Diagrams and Differential Equations
• On evaluation of two-loop self-energy diagram with three propogator
• Differential Renormalization, the Action Principle and Renormalization Group Calculations
• Gauge-Invariant Differential Renormalization: Abelian Case