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La Rivista del Nuovo Cimento (1971-1977)

, Volume 3, Issue 2, pp 146–164 | Cite as

Conformal invariance in quantum field theory

  • A. F. Grillo
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References

  1. [1]
    See, for example,G. Miller et al.: XV International Conference on High-Energy Physics (Kiev, 1970), and references therein.Google Scholar
  2. [2]
    K. Wilson:On short-distance behaviour in quantum field theory, Cornell Report, unpublished.Google Scholar
  3. [3]
    K. Wilson:Phys. Rev.,179, 1499 (1969).MathSciNetADSCrossRefGoogle Scholar
  4. [4]
    C. G. Callan jr.:Phys. Rev. D,2, 1451 (1970).ADSCrossRefGoogle Scholar
  5. [5]
    K. Symanzik:Comm. Math. Phys.,18, 227 (1970);23, 71 (1971).MathSciNetADSCrossRefMATHGoogle Scholar
  6. [6a]
    There are many reviews on the argument; see for example:G. Mack andA. Salam:Ann. of Phys.,53, 174 (1969);MathSciNetADSCrossRefGoogle Scholar
  7. [6b]
    S. Ferrara, R. Gatto andA. F. Grillo:Springer Tracts in Modern Physics, Vol.67;Google Scholar
  8. [6c]
    B. Schroer: talk given at theIV Simposio Brasileiro de Fisica Teorica (Rio de Janeiro, 1972);Google Scholar
  9. [6d]
    G. Mack:Lecture Notes in Physics, Vol.17 (Berlin, 1972), p. 300.ADSCrossRefGoogle Scholar
  10. [7]
    D. G. Boulware, L. S. Brown andR. D. Peccei:Phys. Rev. D,2, 293 (1970).ADSCrossRefGoogle Scholar
  11. [8]
    B. Schroer:Lett. Nuovo Cimento,2, 627 (1971).CrossRefGoogle Scholar
  12. [9]
    G. Parisi:Phys. Lett.,39 B, 643 (1972).MathSciNetADSCrossRefGoogle Scholar
  13. [10]
    E. G. Schreier:Phys. Rev. D,3, 980 (1971); and also ref. [6b] and [11, 12] below.ADSCrossRefGoogle Scholar
  14. [11]
    A. M. Polyakov:JETP Lett.,12, 381 (1970).ADSGoogle Scholar
  15. [12]
    A. A. Migdal:Phys. Lett.,37 B, 98 (1971).MathSciNetADSCrossRefGoogle Scholar
  16. [13]
    A. A. Migdal:Phys. Lett.,37 B, 396 (1971).MathSciNetADSGoogle Scholar
  17. [14]
    G. Parisi andL. Peliti:Lett. Nuovo Cimento,2, 627 (1971).CrossRefGoogle Scholar
  18. [15]
    G. Mack andI. T. Todorov:Phys. Rev., to be published.Google Scholar
  19. [16]
    G. Mack andK. Symanzik:Comm. Math. Phys.,27, 247 (1972).MathSciNetADSCrossRefGoogle Scholar
  20. [17]
    B. Schroer:Fortschr. Phys.,11, 1 (1963).MathSciNetCrossRefGoogle Scholar
  21. [18]
    R. J. Crewther:Phys. Rev. Lett.,28, 1421 (1972).ADSCrossRefGoogle Scholar
  22. [19]
    S. Ferrara, A. F. Grillo andG. Parisi: Rome preprint No. 428 (1972), to be published.Google Scholar
  23. [20]
    S. Ferrara, R. Gatto, A. F. Grillo andG. Parisi:Phys. Lett.,38 B, 332 (1972).ADSGoogle Scholar
  24. [21]
    W. Zimmermann: in1970 Brandeis Lectures, Vol.1 (Cambridge, Mass., 1970).Google Scholar
  25. [22]
    K. G. Wilson andW. Zimmermann:Comm. Math. Phys.,24, 87 (1972).MathSciNetADSCrossRefMATHGoogle Scholar
  26. [23]
    P. Otterson andW. Zimmermann:Comm. Math. Phys.,24, 107 (1972).MathSciNetADSCrossRefMATHGoogle Scholar
  27. [24]
    C. G. Callan andD. Gross: Princeton report (1972).Google Scholar
  28. [25]
    S. Ferrara, A. F. Grillo andG. Parisi: Frascati Report LNF-72/103 (1972), to be published.Google Scholar
  29. [26]
    G. Parisi:Phys. Lett.,39 B, 643 (1972).MathSciNetADSCrossRefGoogle Scholar
  30. [27]
    C. G. Callan jr.,S. Coleman andR. Jackiw:Ann. of Phys.,59, 42 (1970).MathSciNetADSCrossRefMATHGoogle Scholar
  31. [28]
    S. Coleman andR. Jackiw:Ann. of Phys.,67, 552 (1972).MathSciNetADSCrossRefGoogle Scholar
  32. [29]
    K. Wilson:Phys. Rev. D,2, 1473 (1970).ADSCrossRefGoogle Scholar
  33. [30]
    G. F. Dell’Antonio: New York University preprint (1972).Google Scholar
  34. [31]
    S. Ferrara, R. Gatto andA. F. Grillo:Phys. Lett.,42 B, 264 (1972).ADSCrossRefGoogle Scholar
  35. [32]
    B. Schroer:Lecture Notes in Physics, Vol.17 (Berlin, 1972), p. 364.ADSCrossRefGoogle Scholar
  36. [33]
    M. Gell-Mann andF. Low:Phys. Rev.,95, 1300 (1954).MathSciNetADSCrossRefMATHGoogle Scholar
  37. [34]
    K. Pohlmeyer:Comm. Math. Phys.,12, 204 (1969).MathSciNetADSCrossRefMATHGoogle Scholar
  38. [35]
    M. Hortaçsu, B. Schroer andR. Seiler:Phys. Rev. D,5, 1319 (1972).CrossRefGoogle Scholar
  39. [36]
    See ref. [6a];S. Ferrara, R. Gatto, A. F. Grillo andG. Parisi:Lett. Nuovo Cimento,4, 115 (1972).MathSciNetADSCrossRefGoogle Scholar
  40. [37]
    See ref. [6a];S. Ferrara, R. Gatto, A. F. Grillo andG. Parisi:Nucl. Phys.,49 B, 77 (1972).MathSciNetADSCrossRefGoogle Scholar
  41. [38]
    A. A. Migdal: Chernogolovka preprint (1972).Google Scholar
  42. [39]
    Y. Frishman:Phys. Rev. Lett.,25, 960 (1970).ADSCrossRefGoogle Scholar
  43. [40]
    R. Brandt andG. Preparata:Nucl. Phys.,27 B, 541 (1971).ADSCrossRefGoogle Scholar
  44. [41]
    S. Ferrara, R. Gatto andA. F. Grillo:Nucl. Phys.,34 B, 349 (1971).MathSciNetADSCrossRefGoogle Scholar
  45. [42]
    S. Ferrara, R. Gatto andA. F. Grillo:Phys. Lett.,36 B, 124 (1971).ADSCrossRefGoogle Scholar
  46. [43]
    L. Bonora, G. Sartori andM. Tonin:Nuovo Cimento,10 A, 667 (1972).ADSCrossRefGoogle Scholar
  47. [44]
    L. Bonora, S. Ciccarielli, G. Sartori andM. Tonin: talk presented at theInformal Meeting on Conformal Invariance, Frascati, 1972.Google Scholar
  48. [45]
    S. Ferrara, R. Gatto andA. F. Grillo:Phys. Rev. D,5, 3102 (1972).ADSCrossRefGoogle Scholar
  49. [46]
    L. Bonora:Lett. Nuovo Cimento,3, 548 (1972).CrossRefGoogle Scholar
  50. [47]
    S. Ferrara, A. F. Grillo andG. Parisi:Lett. Nuovo Cimento,5, 147 (1972).MathSciNetCrossRefGoogle Scholar
  51. [48]
    S. Ferrara andG. Parisi:Nucl. Phys.,42 B, 281 (1972).ADSCrossRefGoogle Scholar
  52. [49]
    S. Ferrara, R. Gatto, A. F. Grillo andG. Parisi: to be published.Google Scholar
  53. [50]
  54. [51]
    S. Ferrara, A. F. Grillo andG. Parisi:Nuovo Cimento,12, 952 (1972).MathSciNetADSCrossRefGoogle Scholar
  55. [52]
    G. Parisi:Phys. Lett.,42 B, 114 (1972).MathSciNetADSCrossRefGoogle Scholar
  56. [53]
    G. Mack:Lecture Notes in Physics, Vol.17 (Berlin, 1972), p. 300.ADSCrossRefGoogle Scholar
  57. [54]
    G. Parisi: Frascati Report LNF-72/93 (1972), to be published.Google Scholar
  58. [55]
    N. Christ, B. Hasslacher andA. Mueller:Light-cone and perturbation theory, Report CO-3067(2)-9 (1972).Google Scholar
  59. [56]
    G. Mack:Expansions around canonical dimensions in conformal invariant quantum field theory, Berna preprint (1972).Google Scholar
  60. [57]
    I. T. Todorov:Lecture Notes in Physics, Vol.17 (Berlin, 1972), p. 270.ADSCrossRefGoogle Scholar
  61. [58]
    W. Thirring:Ann. of Phys.,3, 91 (1958).MathSciNetADSCrossRefMATHGoogle Scholar
  62. [59]
    K. Johnson:Nuovo Cimento,20, 773 (1961).CrossRefGoogle Scholar
  63. [60]
    S. Ferrara, R. Gatto andA. F. Grillo:Nuovo Cimento,12, 959 (1972).MathSciNetADSCrossRefGoogle Scholar
  64. [61]
    M. Gomes andJ. H. Lowenstein: University of Pittsburg preprint, NYO-3829-90 (1972).Google Scholar
  65. [62]
    See, for example,E. Del Giudice, P. Di Vecchia andS. Fubini:Ann. of Phys.,70, 378 (1972) and references therein.ADSCrossRefGoogle Scholar
  66. [63]
    S. Fubini, H. Hanson andR. Jackiw: to be published.Google Scholar
  67. [64]
    G. F. Dell’Antonio, Y. Frishman andD. Zwanziger:Phys. Rev. D,6, 988 (1972).ADSCrossRefGoogle Scholar
  68. [65]
    R. Nobili: presented at this Conference.Google Scholar
  69. [66]
    S. L. Adler:Phys. Rev. D,6, 3445 (1972).MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Società Italianà di Fisica 1973

Authors and Affiliations

  • A. F. Grillo
    • 1
  1. 1.Laboratori Nazionali di Frascati del CNENFrascati

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