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Chiral-symmetry breaking and the light-meson systems

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La Rivista del Nuovo Cimento (1978-1999) Aims and scope

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References

  1. M. Gell-Mann:Acta Phys. Austriaca Suppl,9, 733 (1972). 6) H. Feitzsch and M. Gell-Mann :Proceedings of the XVI International Conference on High EnergyPhysics, Chicago, Vol.2 (1972), p. 135. c) H. Fritzsch, M. Gell-Mann and H. Leutwyler:Phys. Lett. B,47, 365 (1973).d) H. D. Politzer:Phys. Rev. Lett,30, 1346 (1973). e) D. J. Gross and F. Wilczek:Phys. Bev. Lett.,30, 1343 (1973).

    Google Scholar 

  2. M. Jacob: talk given atThe XXII International Conference in High Energy Physics, Leipzig (1984).

  3. G.’tHooft:Nucl. Phys. B,72, 461 (1974);75, 461 (1974).

    Article  ADS  Google Scholar 

  4. E. Witten:Nucl. Phys. B,160, 57 (1979).

    Article  ADS  Google Scholar 

  5. M. Gell-Mann:Physics (N. Y.),1, 63 (1964).

    Google Scholar 

  6. S. L. Adler andR. F. Dashen:Current Algebra and Applications to Particle Physics (Benjamin, New York, N. Y., 1968).

    Google Scholar 

  7. H. Pagels:Phys. Rep.,16, 221 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  8. V. D. Alfaro, S. Fubini andC. Rossetti:Currents in Hadron Physics (North-Holland, Amsterdam, 1973)

    Google Scholar 

  9. E. Reya:Bev. Mod. Phys.,46, 545 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  10. Y. Nambu:Phys. Bev.,117, 648 (1960)

    MathSciNet  ADS  Google Scholar 

  11. Y. Nambu andG. Jona-Lasinio:Phys. Bev.,122, 345 (1961).

    ADS  Google Scholar 

  12. J. Goldstone:Nuovo Cimento,19, 154 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  13. J. Kripf-Ganz: talk given atThe XXII International Conference on High Energy Physics,Leipzig (1984).

  14. E.G. Floratos, E. Papantonopoulos andG. Zoupanos:Phys. Lett. B,151, 433 (1985).

    Article  ADS  Google Scholar 

  15. M. Peskin: SLAC-PUB-3021 (1982), and references therein.

  16. E. Wigner:Group Theory (Princeton University Press, Princeton, N. J., 1939).

    Google Scholar 

  17. H. Weyl:The Classical Groups (Princeton University Press, Princeton, N. J., 1939).

    Google Scholar 

  18. T. Das, G. Guralnik, V. S. Mathue andS. Okubo:Phys. Bev. Lett.,18, 759 (1967). Among other modern derivations, see,e.g., B. Machet and A. Natale: LBL Berkeley preprint 16829 (1983), and references therein.

    Article  ADS  Google Scholar 

  19. M. Gell-Mann, R. J. Oakes andB. Rennee:Phys. Bev.,175, 2195 (1968).

    ADS  Google Scholar 

  20. S. Weinberg:Phys. Bev. Lett.,18, 507 (1967).

    Article  ADS  Google Scholar 

  21. E. G. Floratos, S. Narison andE. de Rafael:Nucl. Phys. B,155, 115 (1979).

    Article  ADS  Google Scholar 

  22. P. Pascual andE. de Rafael:Z. Phys. C,12, 127 (1982).

    Article  ADS  Google Scholar 

  23. S. Narison:Z. Phys. C,14, 263 (1982).

    Article  ADS  Google Scholar 

  24. N. S. Craigie andJ. Stern:Phys. Bev. D,26, 127 (1982).

    Article  Google Scholar 

  25. P. Langacker andH. Pagels:Phys. Bev. D,19, 2070 (1979).

    Article  ADS  Google Scholar 

  26. P. Langackee:Phys. Bev. D,20, 2983 (1979).

    Article  ADS  Google Scholar 

  27. J. Gasser:Ann. Phys. (N. Y.),136, 62 (1981).

    Article  ADS  Google Scholar 

  28. J. Gasser andH. Leutwyler:Phys. Rev.,87, 79 (1982).

    Google Scholar 

  29. C. Becchi, S. Narison, E. de Rafael andF. J. Yndurain:Z. Phys. C,8, 335 (1981).

    Article  ADS  Google Scholar 

  30. S. Narison andE. de Rafael:Phys. Lett. B,103, 57 (1981).

    Article  ADS  Google Scholar 

  31. S. Narison, N. Paver, E. de Rafael andD. Teeleani:Nucl. Phys. B,212, 365 (1983).

    Article  ADS  Google Scholar 

  32. S. G. Gobishny, A. L. Kataev andS. A. Laein:Phys. Lett. B,135, 457 (1984).

    Article  ADS  Google Scholar 

  33. C. A. Dominguez:Z. Phys. C,26, 269 (1984).

    ADS  Google Scholar 

  34. L. J. Reinders andH. R. Rubinstein:Phys. Lett. B,145, 108 (1984).

    Article  ADS  Google Scholar 

  35. S. Naeison:Phys. Lett. B,104, 485 (1981).

    Article  ADS  Google Scholar 

  36. S. Narison, N. Paver andD. Treleani:Nuovo Cimento A,74, 347 (1983).

    Article  ADS  Google Scholar 

  37. E. Bagan, A. Bramon, S. Narison andN. Paver:Phys. Lett. B,135, 463 (1984).

    Article  ADS  Google Scholar 

  38. N. V. Krasnikov andA. A. Pivovarov:Nuovo Cimento A,81, 680 (1984).

    Article  ADS  Google Scholar 

  39. C. A. Dominguez, M. Kremer, N. A. Papadopoulos andK. Schilcher:Z. Phys. C,27, 481 (1985).

    Article  ADS  Google Scholar 

  40. M. A. Shifman, A.I. Vainshtein andV.I. Zakhabov:Nucl. Phys. B,147, 385, 448 (1979).

    Article  ADS  Google Scholar 

  41. L. Beaulieu, J. Ellis, M. K. Gaillaed andW. J. Zakeewski:Phys. Lett. B,77, 290 (1978).

    Article  ADS  Google Scholar 

  42. V. A. Novikov, L. B. Okun, M. A. Shifman, A. I. Vainshtein, M. B. Voloshin andV.I. Zakhaeov:Phys. Rep. C,41, 1 (1978).

    Article  ADS  Google Scholar 

  43. E. de Rafael: talk given at the Dubrovnik summer school, Marseille preprint CPT 84/P.1587 (1984)

  44. L. J. Reinders, H. R. Rubinstein andS. Yazaki:Phys. Rep.,127, 1 (1985)

    Article  ADS  Google Scholar 

  45. S. Narison: talk given atThe XXII International Conference on High Energy Physics, Leipzig (1984); CERN preprint TH 3989 (1984)

  46. B. L. Ioffe: talk given atThe XXII International Conference on High Energy Physics, Leipzig (1984).

  47. J. S. Bell andR. A. Bertlmann:Nuel. Phys. B,177, 218 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  48. R. A. Bertlmann:Acta Phys. Austriaca,53, 305 (1983).

    Google Scholar 

  49. H. Leutwyler:Nuel. Phys. B,76, 413 (1974).

    Article  ADS  Google Scholar 

  50. H. D. Politzer:Nuel. Phys. B,117, 397 (1976).

    Article  ADS  Google Scholar 

  51. S. Narison:Phys. Rep.,84, 263 (1982).

    Article  ADS  Google Scholar 

  52. V. A. Novikov, M. A. Shifman, A.I. Vainshtein andV.I. Zakharov:Nucl. Phys. B,191, 301 (1981).

    Article  ADS  Google Scholar 

  53. The European Muon Collaboration, (J. J. Aubert et al.):Phys. Lett. B,114, 291 (1982).

    Article  ADS  Google Scholar 

  54. M. Bonesini, K. A. Donald, D. N. Edwards, M. Edwards, B. R. French, B. Ghidini, M. A. Houlden, L. Mandelli, F. Navach, A. Palano, E.Paul, L. Perini, V. Picciarelli andI. L. Smith:Phys. Lett. B,103, 75 (1981).

    Article  ADS  Google Scholar 

  55. G. Bellini, M. Di Corato, F. Palombo, J. Pernegr, A. Sala, S. Sala, G. Vegni, P. L. Frabetti, Yu. I. Ivanshin, L. K. Litkin, S. I. Sychkov, A. A. Tyapkin, I. M. Vassilerski, V. V. Vishniakov andO. A. Zaimidoroga:Phys. Rev. Lett.,48, 697 (1982).

    Article  Google Scholar 

  56. C. Daum, L. Hertzberger, W. Hoogland, S. Peters, P. van Deuzen, V. Chabaud, A. Gonzales-Arroto, B. Hyams, H. Tiecke, P. Weilhammer, D. Dwurazny, G. Polok, M. Rozanska, K. Rybicki, M. Turala, J. Turnau, H. Becker, G. Blanar, M. Cerrada, H. Dietl, J. Gallivan, R. Klanner, E. Lorenz, G. Lütjens, G. Lutz, W. Männer, U. Stierlin, J. Blaket, M. Bowler, R. Cashmore, J. Loken, W. Spalding, G. Thompson, B. Alper, C. Damerell, A. Gillman, C. Hardwick, M. Hotchkhi andF. Wickens:Nuel. Phys. B,187, 1 (1981).

    Article  ADS  Google Scholar 

  57. G. W. Brandenburg, R. K. Carnegie, R. J. Cashmore, M. Davier, W. M. Dunwoodie, T. A. Lasinski, D. W. G. S. Leith, J. A. J. Matthews, P. Walden, S. H. Williams andF. C. Winkelmann:Nucl. Phys. B,127, 509 (1977).

    Article  ADS  Google Scholar 

  58. B. V. Geshkenbein andB.L. Ioffe:Nuel. Phys. B,166, 340 (1980).

    Article  ADS  Google Scholar 

  59. G. Veneziano:Nuovo Cimento A,57, 190 (1968).

    Article  ADS  Google Scholar 

  60. R. A. Bryan, C. A. Dominguez andB. J. Ver West:Phys. Rev. C,22, 160 (1980).

    Article  ADS  Google Scholar 

  61. L. J. Reinders,H. R. Rubinstein andS. Yazaki: CERN preprint TH 3776 (1983).

  62. K. Ishikawa,G. Schierholz,H. Schneider andM. Teper: DESY report 82-087 (1982).

  63. A. Di Giacomo andG. Paffuti:Phys. Lett. B,108, 327 (1982).

    Article  ADS  Google Scholar 

  64. G. Launer, S. Narison andR. Tarrach:Z. Phys. C,26, 433 (1984), and references therein.

    Article  ADS  Google Scholar 

  65. Y. Chung, H. D. Dosch, M. Kremer andD. Schall:Z. Phys. C,25, 151 (1984).

    Article  ADS  Google Scholar 

  66. N. V. Krasnikov, A. A. Pivovarov andN. N. Tavkhelidze:Z. Phys. C,19, 301 (1983)

    Article  ADS  Google Scholar 

  67. R. A. Bertlmann,G. Launer andE. De Rafael: Marseille preprint CPT 84/P 1586 (1984), and references therein.

  68. J. J. Sakurai, K. Schilcher andM. D. Tran:Phys. Lett. B,102, 55 (1981).

    Article  ADS  Google Scholar 

  69. A. L. Kataev, N. V. Krasnikov andA. A. Pivovarov:Phys. Lett. B,123, 93 (1983);Nuovo Cimento A,76, 732 (1983).

    Article  ADS  Google Scholar 

  70. H. Leutwyler andM. Roos:Z. Phys. C,25, 91 (1984).

    Article  ADS  Google Scholar 

  71. P. Estabrooks et al:Nuel. Phys. B,76, 413 (1974).

    Article  Google Scholar 

  72. D. Aston et al.:Phys. Lett. B,106, 235 (1981).

    Article  ADS  Google Scholar 

  73. R. H. Socolow:Phys. Bev.,137, 221 (1965).

    MathSciNet  ADS  Google Scholar 

  74. N. Fuchs andM. D. Scadron: University of Tucson preprint (1981).

  75. J. Gasser andH. Leutwtler: CERN preprints TH 3798, 3829 (1984).

    Google Scholar 

  76. P. Pascual andR. Tarrach:Phys. Lett. B,116, 443 (1982).

    Article  ADS  Google Scholar 

  77. S. Narison:Z. Phys. C,22, 161 (1984).

    Article  ADS  Google Scholar 

  78. M. Gell-Mann :The Eightfold Way (Benjamin, New York, N. Y., 1966).

  79. D. J. Broadhurst andS. C. Generalis: Open University preprint OUT-4102-12 (August 1984). I thank the authors for discussions and for correspondence on their perturbative calculations.

  80. P. Pascual and E.de Rafael:Z. Phys. C,12, 127 (1982).

    Article  ADS  Google Scholar 

  81. S. Narison:Nucl. Phys. B,182, 59 (1981).

    Article  ADS  Google Scholar 

  82. S. Narison and E.de Rafael:Nucl. Phys. B,169, 253 (1980).

    Article  ADS  Google Scholar 

  83. M. Kremer, N. A. Papadopoulos andK. Schilcher:Phys. Lett. B,143, 476 (1984).

    Article  ADS  Google Scholar 

  84. N. S. Craigie andJ. Stern:Phys. Bev. D,26, 2430 (1982).

    Article  ADS  Google Scholar 

  85. C. Dominguez andM. Loewe:Phys. Bev. D,31, 2930 (1985), and private communication.

    Article  ADS  Google Scholar 

  86. S. Narison:Z. Phys. C,26, 209 (1984).

    ADS  Google Scholar 

  87. S. Narison, N. Pak andN. Paver:Phys. Lett. B,147, 162 (1984).

    Article  ADS  Google Scholar 

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Some parts of this work were presented at the XXII International Conference on High Energy Physios, Leipzig (D.D.R.), 1984 and at the LEAR workshop (Tignes, January 1985)

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Narison, S. Chiral-symmetry breaking and the light-meson systems. Riv. Nuovo Cim. 10, 1–43 (1987). https://doi.org/10.1007/BF02740660

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