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


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.


Field Theory Elementary Particle Quantum Field Theory Additional Constraint Particle Acceleration 
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  1. 1.
    S. Narison: Phys. Rep.84, 263 (1982)Google Scholar
  2. 2.
    G.R. Allcock: Acta Phys. Pol.B11, 875 (1980)Google Scholar
  3. 3.
    P.C. West: Supersymmetry and finiteness. Lecture at Shelter Island II, 1983Google Scholar
  4. 4.
    S. Mandelstam: Nucl. Phys.B 213, 149 (1983)Google Scholar
  5. 5.
    P.S. Howe, K.S. Stelle, P.C. West: Phys. Lett.124B, 55 (1983)Google Scholar
  6. 6.
    A. Ermushev, D.I. Kazakov, O.V. Tarasov: Dubna preprint E2-85-794 (1985)Google Scholar
  7. 7.
    N.G. Deshpande, R.J. Johnson, E. Ma: Phys. Lett.130B, 61 (1983; Phys. Rev.D29, 2851 (1984)Google Scholar
  8. 8.
    B. Zumino: Nucl. Phys.B 89, 535 (1975)Google Scholar

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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