On the Question of the Scattering Matrix in Quantum Field Theory

A new expression for the scattering matrix in local quantum field theory is obtained on the basis of a generalized formulation of the microcausality condition. This expression is relativistically covariant, unitary, and causal and coincides with the generally accepted expression (the T-exponential)...

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Veröffentlicht in:Russian physics journal 2017-06, Vol.60 (2), p.313-321
1. Verfasser: Khokhlov, I. A.
Format: Artikel
Sprache:eng
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Zusammenfassung:A new expression for the scattering matrix in local quantum field theory is obtained on the basis of a generalized formulation of the microcausality condition. This expression is relativistically covariant, unitary, and causal and coincides with the generally accepted expression (the T-exponential) in the case when ultraviolet (UV) divergences are absent in the latter. Conditions are formulated, under the fulfillment of which the elements of the constructed matrix do not contain UV divergences. By way of an example, the probability amplitude of the particle–particle transition for a model with ℒ( x ) =  λ  :  φ 3 ( x ): in the second-order perturbation theory is found.
ISSN:1064-8887
1573-9228
DOI:10.1007/s11182-017-1077-8