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Perturbative Calculation of Multi-Loop Feynman Diagrams. New Type of Expansions for Critical Exponents

Hagen Kleinert

hep-tharXiv:hep-th/9908078

Abstract

We show that the calculation of L-loop Feynman integrals in D dimensions can be reduced to a series of matrix multiplications in D times L dimensions. This gives rise to a new type of expansions for the critical exponents in three dimensions in which all coefficients can be calculated exactly.

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