Differential equations for definition and evaluation of Feynman integrals

Journal Article · Tue Nov 15 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.6589· OSTI ID:6837717

Lunev, F A ^[1]

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1. Physical Department, Moscow State University, Moscow, 119899 (Russian Federation)

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

• OSTI ID: 6837717
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:10; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FEYNMAN PATH INTEGRAL
DIFFERENTIAL EQUATIONS
FEYNMAN DIAGRAM
GREEN FUNCTION
PERTURBATION THEORY
RENORMALIZATION
DIAGRAMS
EQUATIONS
FUNCTIONS
INTEGRALS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)