Abstract:
In the framework of the calculation of many-loop Feynman integrals – the uniqueness
method – functional equations are obtained for the coefficient functions of the
diagrams. Solution of a functional equation leads to calculation of an N-shaped
diagram, the last of the 5-loop diagrams of the φ4 theory. The obtained result
makes it possible to extend by an order the tables constructed previously for the
calculation of many-loop integrals.
Citation:
D. I. Kazakov, “Many-loop calculations: The uniqueness method and functional equations”, TMF, 62:1 (1985), 127–135; Theoret. and Math. Phys., 62:1 (1985), 84–89
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