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Zeitschrift für Physik C Particles and Fields

, Volume 33, Issue 3, pp 391–395 | Cite as

Finite field theories in three dimensions with and without supersymmetry

  • D. T. Barfoot
  • D. J. Broadhurst
Article

Abstract

Necessary and sufficient conditions are derived for the finiteness of theS-matrix and vacuum stress of theories with Yukawa,ϕ3, andϕ4 couplings in three spacetime dimensions, and general supersymmetric solutions to these conditions are given. The requirement of a finiteS-matrix allows many non-supersymmetric solutions, but with two bosons and two fermions the additional constraint of a finite vacuum stress allows only one simple alternative to supersymmetry.

Keywords

Field Theory Elementary Particle Quantum Field Theory Additional Constraint Particle Acceleration 
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 1987

Authors and Affiliations

  • D. T. Barfoot
    • 1
  • D. J. Broadhurst
    • 1
  1. 1.Department of PhysicsOpen UniversityMilton KeynesUK

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