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Introduction to Nambu Jona-Lasinio Models Applied to Low Energy Hadronic Matter

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Part of the book series: NATO ASI Series ((NSSB,volume 228))

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Abstract

These lectures are an introduction to and not a survey of Nambu Jona-Lasinio theory applied to low energy (below 1 possibly 2 GeV) hadronic physics. The aim is to ease the reader’s access to the literature and to help him make his own calculations. We have certainly not referred adequately to the ever increasing number of works on the subject and we stress more what people do than what people say.

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References

  1. Y. Nambu and G. Jona-Lasinio, Phys.Rev. 122 (1961) 354.

    Article  ADS  Google Scholar 

  2. D. Ebert and H. Reinhardt, Nucl.Phys. B271 (1986) 188.

    ADS  Google Scholar 

  3. R.D. Ball, “Desperately seeking mesons”, Crakow workshop on Skyrmions and anomalies, 1987 (World Scientific).

    Google Scholar 

  4. M. Goldberger and S. Treiman, Phys.Rev.110 (1958) 996.

    Article  MathSciNet  Google Scholar 

  5. K. Kawarabayashi and M. Suzuki, Phys.Rev.Lett. 16 (1966) 255. Riazuddin and Fayazuddin, Phys.Rev. (1966) 1071.

    Article  MathSciNet  ADS  Google Scholar 

  6. S. Weinberg, Phys.Rev.Lett.18 (1984) 142.

    Google Scholar 

  7. J. Wess and B. Zumino, Phys.Lett. 18 (1971) 95.

    MathSciNet  Google Scholar 

  8. M. Gell-Mann, R.J. Oakes and B. Renner, Phys.Rev. 175 (1968) 2195.

    Article  ADS  Google Scholar 

  9. M. Bando, T. Kugo and Y. Yamazaki, Phys.Rev.Lett. 54 (1985) 1215; Nucl.Phys. B159 (1985) 493; Progr.Theor.Phys. 73 (1985) 1541.

    Article  ADS  Google Scholar 

  10. O. Kayamakcala, S. Rajeev and J. Schechter, Phys.Rev. D20 (1984) 2345.

    Google Scholar 

  11. N. Kroll, T.D. Lee and B. Zumino, Phys.Rev. 157 (1967) 1376.

    Article  ADS  Google Scholar 

  12. V. Bernard, Ulf G.Meissner and I. Zahed, Phys.Rev.Lett. 59 (1987) 966.

    Article  ADS  Google Scholar 

  13. V. Bernard, R.L. Jaffe and Ulf G.Meissner, Nucl.Phys. B308 (1988) 753.

    Article  ADS  Google Scholar 

  14. V. Bernard and Ulf G. Meissner, Phys.Rev. D38 (1988) 1551; Nucl.Phys. A489 (1988) 647.

    ADS  Google Scholar 

  15. E. Ruiz Arrióla, P. Alberto and K. Goecke, Zeits.Phys. A333 (1989) 203.

    ADS  Google Scholar 

  16. M. Wakamatsu and W. Weise, Zeitschr. Phys. A331 (1988) 173.

    ADS  Google Scholar 

  17. M. Jaminon, G. Ripka and P. Stassart, “Chiral mesons in dense nuclear matter”, Saclay preprint SPhT/88–207.

    Google Scholar 

  18. M. Jaminon, G. Ripka and P. Stassart, Phys.Lett. B227 (1989) 191.

    ADS  Google Scholar 

  19. Phys.Reports (1988).

    Google Scholar 

  20. S. H. Kahana, J. Cooperstein and E. Baron, Phys.Lett. B196 (1987) 259.

    ADS  Google Scholar 

  21. W.A. Bardeen, C.T. Hill and M. Lindner, “Minimal dynamical symmetry breaking of the standard model”, Fermilab preprint FERMI-PUB-89/127-T.

    Google Scholar 

  22. D.I. Diakonov and V. Yu Petrov, Nucl. Phys. B245 (1984) 259; Nucl.Phys. B272 (1985) 457; Sov.Phys.JETP 62 (1985) 204.

    Article  ADS  Google Scholar 

  23. E. Ruiz, C.V. Christov and K. Goeke, “Medium effects on nucleón properties”, Bochum preprint (1989).

    Google Scholar 

  24. W. Weise, Invited talk at the International Nuclear Physics Conference, Sao Paolo, Brazil, 1989.

    Google Scholar 

  25. See the lectures of N.Isgur in the present volume. R. Kokoski and N. Isgur, Phys.Rev. D35 (1987) 907.

    ADS  Google Scholar 

  26. S. Capstick and N. Isgur, Phys.Rev. D34 (1986) 2809.

    ADS  Google Scholar 

  27. A.B. Migdal, S.B. Khokhlachev and L.N. Scur, Sov. Phys. JETP 64 (1986) 441.

    Google Scholar 

  28. M. Baker, J.S. Bali and F. Zachariasen, Phys.Rev. D37 (1988) 1036; Phys.Rev. DM (1986) 3894.

    ADS  Google Scholar 

  29. W. Broniowski, Crakow workshop on skyrmions and anomalies, (World Scientific) 1987.

    Google Scholar 

  30. A. Schuh and H.J. Pirner, Phys.Lett. B173 (1986) 19.

    ADS  Google Scholar 

  31. G. Chanfray and H.J. Pirner, Phys.Rev. C35 (1987) 760.

    ADS  Google Scholar 

  32. G. Ripka, “Nambu Jona-Lasinio models applied to dense hadronic matter”, XII Workshop on Nuclear Physics, Iguazu Falls, Argentina, 1989 (to be published by World Scientific).

    Google Scholar 

  33. S. Kahana, G. Ripka and V. Soni, Nucl.Phys. A415 (1984) 351.

    ADS  Google Scholar 

  34. M.C. Birse and M.K. Banerjee, Phys.Rev.D31 (1985) 118.

    ADS  Google Scholar 

  35. Th. Meissner, E.R. Arrióla, F. Grummer, H. Mavromatis and K. Goeke, Phys.Lett. B214 (1988) 312.

    ADS  Google Scholar 

  36. A. Chodos and C.B. Thorn, Phys.Rev. D12 (1975) 2733.

    ADS  Google Scholar 

  37. T.H.R. Skyrme, Nucl.Phys. 31 (1962) 556.

    Article  MathSciNet  Google Scholar 

  38. G.S. Adkins, C.R. Nappi and E. Witten, Nucl.Phys. B228 (1983) 552.

    Article  ADS  Google Scholar 

  39. G. Ripka, “Can we control the proliferation of nucleón models?”, in Windsurfing the Fermi sea. Volume 2, (North Holland) 1987.

    Google Scholar 

  40. B.D. Serot and J.D. Walecka, Advances in Phys. 16 (1986) Plenum Press.

    Google Scholar 

  41. G.E. Brown, Lecture delivered at the XII Workshop on Nuclear Physics, Iguazu Falls, Argentina, 1989 (to be published by World Scientific).

    Google Scholar 

  42. G.E. Brown, A. Sethi and N.M. Hintz, “Proton-nucleus scattering and the swelling of the nucleón”, Stony-Brook preprint, 1989.

    Google Scholar 

  43. D.I. Diakonov, V. Yu Petrov and P.V. Pobylitsa, Nucl.Phys. B306 (1988) 809.

    Article  ADS  Google Scholar 

  44. D.I. Diakonov, V. Yu Petrov and M. Praszalowicz, Nucl.Phys. B323 (1989) 53.

    Article  ADS  Google Scholar 

  45. M. Praszalowicz, “Solitons in the Chiral Quark Model”, Brookhaven National Laboratory preprint (1989).

    Google Scholar 

  46. J.P. Blaizot and G. Ripka “Quantum Theory of Finite systems” MIT Press (1987)

    Google Scholar 

  47. J.S. Schwinger, Phys.Rev. 82 (1951) 664

    Article  MathSciNet  ADS  MATH  Google Scholar 

  48. G. Ripka and S. Kahana, Phys.Rev. D36 (1987) 1233.

    ADS  Google Scholar 

  49. V. Soni, Phys.Lett. B195 (1987) 569.

    ADS  Google Scholar 

  50. C. Itzykson and J.B. Zuber, Quantum Field Theory, McGraw-Hill, 1980.

    Google Scholar 

  51. I.A.R. Aitchison and C.W. Fraser, Phys.Rev. D31 (1985) 2605.

    MathSciNet  ADS  Google Scholar 

  52. W. Broniowski and M.K. Banerjee, Phys.Lett. B167 (1986) 21.

    Google Scholar 

  53. L.N. Epele, H. Fanchiotti, C.A. Garcia Canal and R. Mendez Galain, Phys.Rev. D39 (1989) 1473;”Isospin violation in chiral effective models”, La Plata preprint, 1989.

    ADS  Google Scholar 

  54. A.H. Blin, B. Hiller and M. Schaden, Zeitschr.Phys. A331 (1988) 75.

    ADS  Google Scholar 

  55. J. Gasser and H. Leutwyler, Ann.Phys. 158 (1984) 142.

    Article  MathSciNet  ADS  Google Scholar 

  56. M.A. Schifman, A.I. Vainshtein and V.I. Zakharov, Nucl. Phys. B147 (1979) 385,448,519.

    Article  ADS  Google Scholar 

  57. G. Ripka and S. Kahana, Phys.Lett. B155 (1985) 327.

    ADS  Google Scholar 

  58. H. Reinhardt and R. Wunsch, Phys.Lett. B215 (1988) 577.

    ADS  Google Scholar 

  59. G. Ripka, “Soliton models of baryons”. Les Houches School on Hadronic Physics with Multi-GeV Electrons, Febuary 1990.

    Google Scholar 

  60. W.A. Bardeen, J. Bijnens and J.-M. Gérard, Phys.Rev.Lett. 62 (1989) 1343

    Article  ADS  Google Scholar 

  61. J.-M. Gérard, “Physics below one GeV”, MPI München preprint (1989).

    Google Scholar 

  62. K. Goecke, J.N. Urbano, M. Fiolhais and M. Harvey, Phys.Lett. B164 (1985) 249.

    ADS  Google Scholar 

  63. J.P. Blaizot and G. Ripka, Phys.Rev. D38 (1988) 1556.

    ADS  Google Scholar 

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© 1990 Plenum Press, New York

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Ripka, G., Jaminon, M., Stassart, P. (1990). Introduction to Nambu Jona-Lasinio Models Applied to Low Energy Hadronic Matter. In: Vautherin, D., Lenz, F., Negele, J.W. (eds) Hadrons and Hadronic Matter. NATO ASI Series, vol 228. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1336-6_3

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  • DOI: https://doi.org/10.1007/978-1-4684-1336-6_3

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