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.
An algebra of collective variables in the generalized (Calogero–Sutherland) N-body classical one-dimensional model is introduced, and their transformation properties under the conformal group are discussed in detail.
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