A necessary condition for existence of S-matrix outside perturbation theory

A. V. Stoyanovsky

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arXiv · 0707.4570

A necessary condition for existence of S-matrix outside perturbation theory

A. V. Stoyanovsky

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Abstract

Using the Maslov--Shvedov method of complex germ, we show that quantum field theory S-matrix can exist outside perturbation theory in the principal order of quasiclassical approximation only under the condition that the tangent symplectic transformation to the evolution operator of non-linear classical field equation is unitarily implementable in the Fock space. However, the results of Maslov--Shvedov's book imply that this condition is seemingly always satisfied.

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A. V. Stoyanovsky. 2007-08-06. A necessary condition for existence of S-matrix outside perturbation theory. https://arxiv.org/abs/0707.4570

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