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Non-local quantum theory of the scalar field

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Abstract

A scheme of the construction of theS-matrix according to the perturbation theory which is free of the ultraviolet divergences is suggested by the example of the one-component scalar quantized field. The causality is violated in small space-time region. The effects which are due to the causality violation at large distances are described by very high perturbation orders, and are therefore very small in the framework of the perturbation theory.

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna

    G. V. Efimov

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  1. G. V. Efimov
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Efimov, G.V. Non-local quantum theory of the scalar field. Commun.Math. Phys. 5, 42–56 (1967). https://doi.org/10.1007/BF01646357

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  • DOI: https://doi.org/10.1007/BF01646357

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