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Some topics in quantum field theory

  • K. Symanzik
Quantum Field Theory and Statistical Mechanics General Plenary Session
Part of the Lecture Notes in Physics book series (LNP, volume 153)

Keywords

Gauge Theory Wilson Loop Continuum Theory Lattice Theory Vertex Function 
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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References

  1. 1.
    J. Glimm, A. Jaffe, Ann. Inst. Henri Poincaré A22, 97 (1975).Google Scholar
  2. 2.
    J. Fröhlich, these Proceedings. M. Aizenman, these Proceedings.Google Scholar
  3. 3.
    G.A. Baker, Phys. Rev. B15, 1552 (1977)Google Scholar
  4. 4.
    K.G. Wilson, J. Kogut, Phys. Reps. 12C, 75 (1974) Sect. 13.Google Scholar
  5. 4a.
    G.A. Baker, J.M. Kincaid, Phys. Rev. Letts. 42, 1431 (1979)Google Scholar
  6. 4b.
    J. Stat. Phys. 24, 471 (1981).Google Scholar
  7. 5.
    C. Itzykson, M. Peskin, J.B. Zuber, Phys. Lett. 59B, 259 (1980).Google Scholar
  8. 5a.
    A. Hasenfratz, E. Hasenfratz, P. Hasenfratz, Nucl. Phys. B180 [FS2], 353 (1981).Google Scholar
  9. 5b.
    M. Lüscher, G. Münster, P. Weisz, Nucl. Phys. B180 [FS2], 1 )1981).Google Scholar
  10. 6.
    B. Lautrup, M. Nauenberg, Phys. Rev. Lett. 45, 1755 (1980).Google Scholar
  11. 7.
    I.G. Halliday, A. Schwimmer, Phys. Lett. 102B, 337 (1981).Google Scholar
  12. 8.
    G. Mack, in “Recent Developments in Gauge Theories”, Eds. G. 't Hooft et al., New York, Plenum Press 1980, p. 217.Google Scholar
  13. 9.
    M. Lüscher, Comm. Math. Phys.Google Scholar
  14. 10.
    M. Creutz, Phys. Rev. D21, 2308 (1980).Google Scholar
  15. 10a.
    C. Rebbi, Phys. Rev. D21, 3350 (1980).Google Scholar
  16. 10b.
    K.G. Wilson, Cornell U. CLNS 80-442.Google Scholar
  17. 11.
    M. Lüscher, Nucl. Phys. BGoogle Scholar
  18. 12.
    M. Jimbo, these Proceedings.Google Scholar
  19. 13.
    G. Mack, these Proceedings.Google Scholar
  20. 14.
    E. Brézin, J.M. Drouffe, Nucl. Phys. B [FS ]Google Scholar
  21. 15.
    E. Brézin, report at this Conference.Google Scholar
  22. 16.
    M. Srednicki, Phys. Rev. B20, 3783 (1979).Google Scholar
  23. 16a.
    J.B. Kogut, D.K. Sinclair, R.B. Pearson, J.L. Richardson, J. Shigemitsu, Phys. Rev. D23, 2945 (1981).Google Scholar
  24. 16b.
    J. Shigemitsu, J.B. Kogut, Nucl. Phys. B190 [FS3], 365 (1981).Google Scholar
  25. 16c.
    J.B. Kogut, D.K. Sinclair, Phys. Rev. D24, 1610 (1981).Google Scholar
  26. 17.
    M. Nauenberg, T. Schalk, R. Brouwer, Phys. Rev. D24, 548 (1981).Google Scholar
  27. 17a.
    G. Bhanot, B.A. Freedman, Nucl. Phys. B190 [FS3], 357 (1981).Google Scholar
  28. 17b.
    T. Hattori, H. Kawai, Phys. Lett. 105B 43 (1981).Google Scholar
  29. 17c.
    K.H. Mütter, K. Schilling, U. Wuppertal WUB 81-11 (July 1981)Google Scholar
  30. 18.
    E. Brézin, J. de PhysiqueGoogle Scholar
  31. 19.
    K. Symanzik, in “Recent Developments in Gauge Theories”, Eds. G. 't Hooft et al., Plenum Press, New York 1980, p. 313.Google Scholar
  32. 20.
    G. 't Hooft, M. Veltman, in “Particle Interactions at Very High Energies”, Eds. D. Speiser et al., Plenum Press, New York 1974, part B, p. 177.Google Scholar
  33. 21.
    G. 't Hooft, Nucl. Phys. B61, 455 (1973).Google Scholar
  34. 22.
    G. Mack, K. Symanzik, Comm. Math. Phys. 27, 247 (1972).Google Scholar
  35. 23.
    E. Brezin, J.C. Le Guillou, J. Zinn-Justin, in “Phase Transitions and Critical Phenomena” Vol. VI, Eds. C. Domb, M.S. Green, Academic Press, New York 1976, p. 127Google Scholar
  36. 24.
    K. Symanzik, Comm. Math. Phys. 45, 79 (1975).Google Scholar
  37. 25.
    C. Lee, Nucl. Phys. B161, 171 (1979).Google Scholar
  38. 25a.
    Y. Kazama, Y.-D. Yao, Phys. Rev. D21, 1116, 1138 (1980).Google Scholar
  39. 26.
    K. Symanzik, in preparation.Google Scholar
  40. 27.
    K.G. Wilson, Phys. Rev. 179, 1499 (1969).Google Scholar
  41. 28.
    S.D. Drell, M. Weinstein, S. Yankielowicz, Phys. Rev. D14, 487 1627 (1976).Google Scholar
  42. 29.
    K. Osterwalder, R. Schrader, Comm. Math. Phys. 31, 83 (1973), 42, 281 (1975).Google Scholar
  43. 29a.
    K. Osterwalder, E. Seiler, Ann. Phys.(NY) 110, 440 (1978).Google Scholar
  44. 30.
    K. Symanzik, in “Analysis in Function Space” Eds. W.T. Martin, I. Segal, MIT Press, Cambridge, Mass. 1964, p. 197.Google Scholar
  45. 30a.
    IMM-NYU 327 (1964), unpublished.Google Scholar
  46. 31.
    K.G. Wilson, in “Recent Developments in Gauge Theories”, Eds. G. 't Hooft et al., Plenum Press, New York 1980, p. 363.Google Scholar
  47. 31a.
    Cp. also: S.H. Shenker, J. Tobochnik, Phys. Rev. B22, 4462 (1980).Google Scholar
  48. 31b.
    K.G. Wilson, in “New Pathways on High Energy Physics II”, Ed. A. Perlmutter, Plenum Press, New York 1976, p. 243.Google Scholar
  49. 32.
    F. David, Comm. Math. Phys. 81, 149 (1981).Google Scholar
  50. 33.
    K. Symanzik, Nucl. Phys. B190 FS3 1 (1981).Google Scholar
  51. 34.
    H.W. Diehl, S. Dietrich, Z. Phys. B42, 65 (1981), and refs. given there.Google Scholar
  52. 35.
    M. Asorey, P.K. Mitter, Comm. Math. Phys. 80, 43 (1981).Google Scholar
  53. 36.
    G. Münster, Z. Phys. CGoogle Scholar
  54. 37.
    A.M. Polyakov, Phys. Lett. 103B, 207, 211 (1981).Google Scholar
  55. 38.
    A.A. Migdal, Nucl. Phys. B189, 253 (1981).Google Scholar
  56. 39.
    C. Rebbi, Phys. Reports 12, 1 (1974).Google Scholar
  57. 39a.
    J. Scherk, Rev. Mod. Phys. 47, 123 (1975).Google Scholar
  58. 40.
    Yu. M. Make'enko, A.A. Migdal, Nucl. Phys. B188, 269 (1981).Google Scholar
  59. 41.
    R.A. Brandt, F. Neri, M. Sato, Phys. Rev. D24, 879 (1981).Google Scholar
  60. 42.
    K. Symanzik, in “New Developments in Quantum Field Theory and Statistical Mechanics”, Eds. M. Levy, P.K. Mitter, Plenum Press, New York 1977, p. 265.Google Scholar
  61. 43.
    K. Symanzik, in “Particles, Fields, and Statistical Mechanics, Eds. M. Alexanian, A. Zepeda, Lecture Notes in Physics 32, Springer, Berlin 1975, p. 20.Google Scholar
  62. 44.
    D.J. Gross, in “Methodes en theorie des champs”, Eds. R. Balian, J. Zinn-Justin, North Holland, Amsterdam 1976, p. 141.Google Scholar
  63. 45.
    G. 't Hooft, Discussion remark at Conference on Gauge Theory, Marseille, June 1972.Google Scholar

Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • K. Symanzik
    • 1
  1. 1.DESYHamburg

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