Remarks on Alternative Lattice Actions and Phase Structure of Lattice Models

  • Harald Grosse
Part of the NATO Advanced Study Institutes Series book series (volume 82)

Abstract

We state the requirements of lattice gauge theories, remark that Manton’s action violates reflection positivity, mention the equivalence of Z4 and Z2 × Z2 theories and discuss how well the SU(3) gauge theory is approximated by taking nonabelian subgroups as a gauge group.

Keywords

Manifold Summing 

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References

  1. 1.
    K.G. Wilson, Phys. Rev. D10 (1974)2445ADSGoogle Scholar
  2. 2.
    F. Wegner, Jour. Math. Phys. 12 (1971) 2259MathSciNetADSCrossRefGoogle Scholar
  3. 3.
    E. Seiler, Gauge Theories as a Problem of Constructive Quantum Field Theory and Statistical Mechanics (Troisieme Cycle de la Physique en Suisse Romande, 1981)Google Scholar
  4. 4.
    K. Osterwalder and E. Seiler, Ann. Phys. 110 (1978) 440MathSciNetADSCrossRefGoogle Scholar
  5. 5.
    N.S. Manton, Phys. Lett. 96B (1980) 328MathSciNetGoogle Scholar
  6. 6.
    J.M. Drouffe, Phys. Rev. Dl8 (1978) 1174Google Scholar
  7. 7.
    J.C. Itzykson, private communication.Google Scholar
  8. 8.
    H. Grosse, Seminar given at the Schladming Winter School 1981, to be published in Acta Phys. Austr. Suppl.Google Scholar
  9. 9.
    M. Suzuki, Progr. Theor. Phys. 37. (1967) 770ADSCrossRefGoogle Scholar
  10. 10.
    H. Grosse, C.B. Lang and H. Nicolai, Phys. Lett. 98B (1981) 69MathSciNetGoogle Scholar
  11. 11.
    R. Balian, J.M. Drouffe and J.C. Itzykson, Phys. Rev. D11 (1975) 2104, Err. DL9 (1979) 2514ADSGoogle Scholar
  12. 12.
    M. Creutz, L. Jacobs and C. Rebbi, Phys. Rev. D20 (1979) 1915ADSGoogle Scholar
  13. 13.
    G. Bhanot and C. Rebbi, CERN preprint TH 2979 (1980)Google Scholar
  14. 14.
    H. Grosse and H. Kühnelt, Phys. Lett. 101B (1981) 77 and Nucl. Phys. (to be published)Google Scholar
  15. 15.
    W.M. Fairbairn, T. Fulton and W.H. Klink, Jour. Math. Phys.5 (1964) 1038ADSCrossRefGoogle Scholar
  16. 16.
    A. Bovier, M. Lüling and D. Wyler, preprint Bonn HE80–21 (to be published in Jour. Math. Phys. 1981)Google Scholar
  17. 17.
    G. Bhanot and C. Rebbi, BNL preprint (1981)Google Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • Harald Grosse
    • 1
  1. 1.Insitut für Theoretische PhysikUniversität WienAustria

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