Fields topology and perturbation theory

1999/02/24 by J. Manjavidze, Manjavidze, J.
Computer Science · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9902172

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

arxiv created 1999/02/24 · openalex publication_date 1999/02/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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