Coupling Constants in Asymptotic Expansions

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Author's e-mail: czz@xju.edu.cn, minor changes

Scientific paper

Perturbation theory is a powerful tool in manipulating dynamical system.
However, it is legal only for infinitesimal perturbations. We propose to
dispose this problem by means of perturbation group, and find that the coupling
constant approaches to zero in the limit of high order perturbations as Dyson
once expected.

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