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

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

2007-07-31

arxiv.org/abs/0707.4570v3

Math. Notes, 83, No.4, 613--617(2008).

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, revised version

Scientific paper

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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