Gauge fields on the lattice

  • Gian Fabrizio De Angelis
Main Lectures
Part of the Lecture Notes in Physics book series (LNP, volume 80)


Gauge Field Range Order Parameter High Temperature Expansion Abelian Higgs Model Local Order Parameter 
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  1. 1).
    K.G. Wilson, Phys. Rev. D10, 2445 (1974)Google Scholar
  2. 2).
    K. Osterwalder, E. Seiler, Cargése Lectures 1976.Google Scholar
  3. 3).
    — Gauge Field Theories on the Lattice, preprint (1977).Google Scholar
  4. 4).
    J. Glimm, A. Jaffe, Phys. Letters 66B, 67 (1977).Google Scholar
  5. 5).
    A.M. Polyakov: Nucl. Phys. B120, 429 (1977).Google Scholar
  6. 6).
    J. Glimm, A. Jaffe, Instantons in a U(1) Lattice Gauge Thoery: A Coulomb Dipole Gas, preprint (1977).Google Scholar
  7. 7).
    M. Lüscher, Construction of a Self-adjoint, Strictly Positive Transfer Matrix for Euclidean Lattice Gauge Theory, preprint (1976).Google Scholar
  8. 8).
    —, Absence of Spontaneous Gauge Symmetry Breaking in Hamiltonian Lattice Gauge Theories, preprint (1977)Google Scholar
  9. 9).
    L.P. Kadanoff, in Lecture Notes in Physics, Vol. 54.Google Scholar
  10. 10).
    , Reviews of Modern Physics 49, 267 (1977)Google Scholar
  11. 11).
    J. Ginibre, Comm. Math. Phys. 16, 310 (1970)Google Scholar
  12. 12).
    G.F. De Angelis, D. de Falco, Lettere al Nuovo Cimento 18, 536 (1977).Google Scholar
  13. 13).
    F. Guerra, in Mathematical Methods of Ouantum Field Theory, CNRS Marseille (1976).Google Scholar
  14. 14).
    J. Fröhlich, Proceedings of the Internationale Universitätswochen für Kernphysik, Schlammig (1976).Google Scholar
  15. 15).
    G.F. De Angelis, D. de Falco, F. Guerra: Scalar Quantum Electrodynamics on the Lattice as Classical Statistical Mechanics, preprint (1977)Google Scholar
  16. 16).
    E. Nelson, Probability Theory and Euclidean Field Theory, in “Constructive Field Theory” G. Velo, A. S. Wightman Editors, Springer-Verlag (1973).Google Scholar
  17. 17).
    F. Guerra, L. Rosen, B. Simon, Ann. Math. 101, 111 (1975)Google Scholar
  18. 18).
    J. Glimm, A. Jaffe, T. Spencer, The Particle Structure of the Weakly Coupled P(ø)2 Model and other Applications of High Temperature Expansions, in “Constructive Quantum Field Theory”Google Scholar
  19. 19).
    L. Maiani, An Elementary Introduction to Yang-Mills Theories and to their Applications to the Weak and Electromagnetic Interactions, Proceedings of the 1976 CERN School of Physics, Wépion, June 1976.Google Scholar
  20. 20).
    J. Glimm, A. Jaffe, T. Spencer, Comm. Math. Phys. 45, 203 (1975).Google Scholar
  21. 21).
    J. Fröhlich, B. Simon, T. Spencer, Comm. Math. Phys. 50, 79 (1976).Google Scholar
  22. 22).
    J. Schwinger, Phys. Rev. 125, 397 (1962) and 128, 2425 (1962).Google Scholar
  23. 23).
    J. Glimm, A. Jaffe, Comm. Math. Phys. 51, 1 (1976).Google Scholar
  24. 24).
    R. Schrader, Comm. Math. Phys. 49, 131 (1976), 50, 27 (1976).Google Scholar
  25. 25).
    R. Balian, J.M. Drouffe, C. Itzykson, Phys. Rev. D10, 3376 (1974).Google Scholar
  26. 26).
    S. Elitzur, Phys. Rev. D12, 3978 (1975).Google Scholar
  27. 27).
    G.F. De Angelis, D. de Falco, F. Guerra, A note on the Abelian Higgs-Kibble Model on the Lattice: Absence of Spontaneous Magnetization, preprint (1977).Google Scholar
  28. 28).
    P.W. Higgs, Phys. Letters 12, 132 (1964) and Phys. Rev. 145, 1156 (1966).Google Scholar
  29. 29).
    G.F. De Angelis, D. de Falco, F. Guerra, Lettere al Nuovo Cimento 19, 55 (1977)Google Scholar
  30. 30).
    S. De Martino, S. De Siena, In preparation.Google Scholar
  31. 31).
    R. Balian, J.M. Drouffe, C. Ttzykson, Phys. Rev. D10, 2098 (1975).Google Scholar
  32. 32).
    F.J. Wegner, J. Math. Phys. 12, 2259 (1971).CrossRefGoogle Scholar
  33. 33).
    S. De Martino, S. De Siena, R. Marra, in preparation.Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Gian Fabrizio De Angelis
    • 1
  1. 1.Diego de Falco Francesco Guerra Institute of PhysicsUniversity of SalernoSalernoItaly

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