Fields topology and perturbation theory

Details Fields topology and perturbation theory Fields topology and perturbation theory

1999-02-24

arxiv.org/abs/hep-th/9902172v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pp., LaTex, no figures. Talk given at XXXIII PINP Winter School, Gatchina, Febr. 8-12, 1999

Scientific paper

The fields nonlinear modes quantization scheme is discussed. New form of the perturbation theory achieved by unitary mapping the quantum dynamics in the space $W_G$ of (action, angle)-type collective variables. It is shown why the transformed perturbation theory contributions may accumulated exactly on the boundary $\pa W_G$. Abilities of the developed formalism are illustrated by examples from quantum mechanics and field theory.

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