Differential equations for one-loop generalized Feynman integrals
- 1 March 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (3) , 396-401
- https://doi.org/10.1063/1.1666327
Abstract
A system of (2N−1) first‐order linear homogeneous differential equations in each variable is derived for the generalized (with Speer λ parameters) Feynman integrals corresponding to the one‐loop graph with N external lines. This system of differential equations is shown to belong to the class studied by Lappo‐Danilevsky. A connection with the matrix representation of the monodromy group in all variables is pointed out.Keywords
This publication has 9 references indexed in Scilit:
- On analytic properties of vertex parts in quantum field theoryPublished by Elsevier ,2002
- On differential equations for the Feynman integral of a one-loop diagramTheoretical and Mathematical Physics, 1971
- The monodromy rings of one loop Feynman integralsCommunications in Mathematical Physics, 1970
- Differential properties of Feynman amplitudes.—IIl Nuovo Cimento A (1971-1996), 1969
- The monodromy rings of a class of self-energy graphsCommunications in Mathematical Physics, 1969
- A homological approach to parametric Feynman integralsIl Nuovo Cimento A (1971-1996), 1968
- The Cayley equations of a reducible Feynman diagramIl Nuovo Cimento A (1971-1996), 1967
- Properties of the leading Landau curve of the single-loop scattering diagram with an internal diagonal lineIl Nuovo Cimento A (1971-1996), 1966
- On the properties of landau curvesIl Nuovo Cimento (1869-1876), 1964