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

Physics – High Energy Physics – High Energy Physics - Theory

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Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://w

Scientific paper

10.1016/S0370-2693(99)01082-5

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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