Communications in Mathematical Physics

, Volume 7, Issue 4, pp 289–304 | Cite as

Quantum field model with unrenormalizable interaction

  • M. K. Volkov


The unitary relativistic model of quantum field theory with rapidly increasing spectral function (i.e. it grows faster than any finite power of momentum) is investigated. It is shown that there exist nontrivial Lagrangians, leading to this kind of spectral functions and allowing to construct the local theory without the ultraviolet divergences on their basis. In this theory theS-matrix is unitary and not equal identically to unity.


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

© Springer-Verlag 1968

Authors and Affiliations

  • M. K. Volkov
    • 1
  1. 1.Joint Institute for Nuclear ResearchDubna

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