Bogolubov's Recursion and Integrability of Effective Actions

Details Bogolubov's Recursion and Integrability of Effective Actions Bogolubov's Recursion and Integrability of Effective Actions

2000-05-05

arxiv.org/abs/hep-th/0005053v1

Int.J.Mod.Phys.A16:1531-1558,2001

Physics

High Energy Physics

High Energy Physics - Theory

Latex

Scientific paper

10.1142/S0217751X01003378

The Hopf algebra of Feynman diagrams, analyzed by A.Connes and D.Kreimer, is considered from the perspective of the theory of effective actions and generalized $\tau$-functions, which describes the action of diffeomorphism and shift groups in the moduli space of coupling constants. These considerations provide additional evidence of the hidden group (integrable) structure behind the standard formalism of quantum field theory.

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