Communications in Mathematical Physics

, Volume 57, Issue 3, pp 235–258 | Cite as

Strong coupling in the quantum field theory with nonlocal nonpolynomial interaction

  • G. V. Efimov


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 E 2 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 variablep2.


Neural Network Statistical Physic Field Theory Complex System Quantum Field Theory 
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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • G. V. Efimov
    • 1
  1. 1.Laboratory of Theoretical PhysicsJoint Institute for Nuclear ResearchDubnaUSSR

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