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

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.

Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper also at http://www.physik.fu-berlin.de/~kleinert/297

References in corpus (2)

• Recursive Graphical Construction of Feynman Diagrams and Their Multiplicities in phi^4- and in phi^2A-Theory
• Critical Exponents without beta-Function

Cited by in corpus (1)

• Efficient Algorithm for Perturbative Calculation of Multiloop Feynman Integrals