This article is cited in 2 papers

On differential equations for the Feynman integral of a one-loop diagram Journal Theoretical and Mathematical Physics

V. A. Golubeva


Abstract: The Feynman integral $I(s,t)$ for one-loop diagram with four vertices is considered. With the aid of the Griffiths' method of differentiating rational differential forms with respect to the parameter, it is proved that $I(s,t)$ satisfies the system of two first order differential equations. From this system a hyperbolic partial differential equation for $I(s,t)$ is obtained, the main coefiicient of which vanishes on the Landau's manifold of the Feynman integral.

Received: 24.12.1970

 English version: Theoretical and Mathematical Physics, 1971, 9:3, 1210–1216

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