A non traditional method to calculate multi-point Feynman functions is presented. In the approach, D-dimensional loop integrals defining a Feynman amplitude are not directly performed, but a system of linear differential equations for the Feynman amplitudes themselves is found. The solution of the differential equations provides then with the actual value of the amplitudes.
Differential equations for multi-point feynman functions calculation / BONCIANI, ROBERTO. - In: ACTA PHYSICA POLONICA B. - ISSN 0587-4254. - STAMPA. - 30:(1999), pp. 3463-3468. ( Proceedings of the 1998 1st International Conference on Oil and Hydrocarbon Spills, Modelling, Analysis and Control, OIL SPILL Southampton, UK 1 July 1998 through 1 July 1998).
Differential equations for multi-point feynman functions calculation
BONCIANI, ROBERTO
1999
Abstract
A non traditional method to calculate multi-point Feynman functions is presented. In the approach, D-dimensional loop integrals defining a Feynman amplitude are not directly performed, but a system of linear differential equations for the Feynman amplitudes themselves is found. The solution of the differential equations provides then with the actual value of the amplitudes.
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