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Communications in Mathematical Physics

, Volume 5, Issue 5, pp 343–386 | Cite as

Yukawa coupling of quantum fields in two dimensions. I

  • James Glimm
Article

Abstract

A renormalization procedure is proposed. It gives rigorous mathematical meaning to the infinite cancellations in this model. A space cutoff is introduced in the interaction termV and soV has the form\(\int\limits_{\left| x \right| \leqq K} {V\left( x \right)} dx\), but there are no momentum cutoffs inV. There is an infinite constant and an infinite boson mass renormalization in this model. The main result is that the renormalized Hamiltonian is rigorously defined as a bilinear form in the Fock Hilbert space.

Keywords

Neural Network Statistical Physic Hilbert Space Complex System Nonlinear Dynamics 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • James Glimm
    • 1
  1. 1.Mass. Institute of TechnologyCambridgeUSA

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