Cytotoxic protein from human platelets

Голубева, Т. С.; Paromov, Victor; Tuguz, A. R.; Chertov, Oleg; Kiselevsky, M. V.

doi:10.1016/s0014-5793(97)00205-6

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2013

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“…It is worth mentioning that (co-)homological methods have been used in connection with Feynman integrals already a long time ago [11][12][13][14]. Renewed interest in this topic has grown out of the seminal paper by Bloch, Esnault and Kreimer [15].…”

Section: Introductionmentioning

confidence: 99%

Picard–Fuchs Equations for Feynman Integrals

Müller–Stach

Weinzierl

Zayadeh

2013

Commun. Math. Phys.

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We present a systematic method to derive an ordinary differential equation for any Feynman integral, where the differentiation is with respect to an external variable. The resulting differential equation is of Fuchsian type. The method can be used within fixed integer space-time dimensions as well as within dimensional regularisation. We show that finding the differential equation is equivalent to solving a linear system of equations. We observe interesting factorisation properties of the D-dimensional Picard-Fuchs operator when D is specialised to integer dimensions.

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