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Lattice gauge theories

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Mathematical Problems in Theoretical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 80))

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References

  1. R. Balian, J.M. Drouffe, C. Itzykson, Phys. Rev. D10 3376 (1974); D11, 2098 (1975); D11, 2104 (1975)

    Google Scholar 

  2. F.A. Berezin, The Method of Second Quantization, Academic Press, New York 1966

    Google Scholar 

  3. J. Bricmont, J.R. Fontaine, L.J. Landau, On the Uniqueness of the Equilibrium State in Plane Rotators, Louvain la Neuve preprint UCL-IPT-77/03

    Google Scholar 

  4. G.F. DeAngelis, D. deFalco, F. Guerra, Lattice Gauge Models in the Strong Coupling Regime, Salerno preprint 1977

    Google Scholar 

  5. —, A Note on the Abelian Higgs-Kibble Model on a Lattice: Absence of Spontaneous Magnetization, Salerno preprint 1977

    Google Scholar 

  6. F. Englert, R. Brout, Phys. Rev. Lett. 13, 321 (1964)

    Article  Google Scholar 

  7. J. Fröhlich, B. Simon, Ann. Math. 105 (1977)

    Google Scholar 

  8. J. Fröhlich, B. Simon, T. Spencer, Commun. Math. Phys. 50 79 (1976)

    Google Scholar 

  9. J. Glimm, A. Jaffe, Commun. Math. Phys. 51, 1 (1976)

    Google Scholar 

  10. — Phys. Lett. 66B, 67 (1977)

    Google Scholar 

  11. —Instantons in a U(1) Lattice Gauge Theory: A Coulomb Dipole Gas, Harvard preprint 1977

    Google Scholar 

  12. J. Glimm, A. Jaffe, T. Spencer, in: Constructive Quantum Field Theory, G. Velo and A.S. Wightman eds., Spinger Lecture Notes in Physics 25 (1973)

    Google Scholar 

  13. D. Gross, F. Wilczek, Phys. Rev. Lett. 26, 1343 (1973)

    Google Scholar 

  14. C. Gruber, H. Kunz, Commun. Math. Phys. 22, 133 (1971)

    Google Scholar 

  15. F. Guerra, Phys. Rev. Lett. 28, 1213 (1972)

    Google Scholar 

  16. — in Mathematical Methods of Quantum Field Theory, CNRS Marseille 1976

    Google Scholar 

  17. P. Higgs, Phys. Lett. 12, 132 (1964); Phys. Rev. 145, 1156 (1966)

    Google Scholar 

  18. O. Lanford, in Statistical Mechanics and Mathematical Problems, A. Lenard ed., Springer Lecture Notes in Physics 20 (1973)

    Google Scholar 

  19. M. Lüscher, Construction of a Self-Adjoint,Strictly Positive Transfer Matrix for Euclidean Lattice Gauge Theory, DESY preprint 1976

    Google Scholar 

  20. — Absence of Spontaneous Symmetry Breaking in Lattice Gauge Theories, DESY preprint 1977

    Google Scholar 

  21. A. MacDermot, Ph.D. Thesis, Cornell University 1976

    Google Scholar 

  22. N.D. Mermin, J. Math. Phys. 8, 1061 (1967)

    Google Scholar 

  23. K. Osterwalder, Yang-Mills Fields on the Lattice, lecture delivered at the 1976 Cargèse summer school, Harvard preprint 1976

    Google Scholar 

  24. K. Osterwalder, R. Schrader, Commun. Math. Phys. 31, 83 (1973); 42, 281 (1975)

    Google Scholar 

  25. — Helv. Phys. Acta 46, 277 (1973)

    Google Scholar 

  26. K. Osterwalder, E. Seiler, Gauge Field Theories on the Lattice, Harvard preprint 1977 (subm. to Ann. Phys.)

    Google Scholar 

  27. H.D. Politzer, Phys. Rev. Lett. 26, 1346 (1973)

    Google Scholar 

  28. R. Schrader, Commun. Math. Phys. 49, 131 (1976); 50, 97 (1976)

    Google Scholar 

  29. E. Seiler, B. Simon, Ann. Phys. 97, 470 (1976)

    Google Scholar 

  30. K.G. Wilson, Phys. Rev. D10, 2445 (1975)

    Google Scholar 

  31. — 1976 Cargèse lecture notes, to appear

    Google Scholar 

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Author information

Authors and Affiliations

  1. Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, MA

    K. Osterwalder

  2. Joseph Henry Laboratories of Physics, Princeton University, 08540, Princeton, N.J.

    E. Seiler

Authors
  1. K. Osterwalder
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  2. E. Seiler
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Editor information

G. Dell'Antonio S. Doplicher G. Jona-Lasinio

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© 1978 Springer-Verlag

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Osterwalder, K., Seiler, E. (1978). Lattice gauge theories. In: Dell'Antonio, G., Doplicher, S., Jona-Lasinio, G. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 80. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-08853-9_3

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  • DOI: https://doi.org/10.1007/3-540-08853-9_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08853-0

  • Online ISBN: 978-3-540-35811-4

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