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Strong coupling in the quantum field theory with nonlocal nonpolynomial interaction

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Abstract

In the relativistic quantum field theory the representation for theS-matrix elements is obtained for any coupling constantsg in the case of a one component scalar field ϕ(x) with nonlocal nonpolynomial interaction ℒ I (ϕ)=gU(ϕ) when the causal function is bounded in the Euclidean region 0≦D c (x 2 E ≦D c (0)<∞ and the function |U(u)|≦1 for realu. It is proved that the two point Green function is bounded in the physical region of momenta variablep 2.

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Authors and Affiliations

  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, USSR

    G. V. Efimov

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  1. G. V. Efimov
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Communicated by R. Haag

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Efimov, G.V. Strong coupling in the quantum field theory with nonlocal nonpolynomial interaction. Commun.Math. Phys. 57, 235–258 (1977). https://doi.org/10.1007/BF01614165

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  • DOI: https://doi.org/10.1007/BF01614165

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