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The non-linear sigma model

  • Part II: Non-linear σ-Models
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Renormalization of Quantum Field Theories with Non-linear Field Transformations

Part of the book series: Lecture Notes in Physics ((LNP,volume 303))

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References

  1. K. Meetz, J. Math. Phys. 10 (1969), 65.

    Google Scholar 

  2. J. Honerkamp, Nucl. Phys. B 36 (1972), 130.

    Article  Google Scholar 

  3. G. Ecker and J. Honerkamp, Nucl. Phys. B 35 (1971), 481.

    Article  Google Scholar 

  4. C. G. Callan, S. Coleman, J. Wess and B. Zumino, Phys. Rev. 177 (1969), 2247.

    Google Scholar 

  5. S. Weinberg, Phys. Rev. 166 (1968),1568.

    Google Scholar 

  6. S. Coleman, J. Wess and B. Zumino, Phys. Rev. 177 (1968), 2239.

    Google Scholar 

  7. S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York (1962)

    Google Scholar 

  8. E. Brezin and J. Zinn-Justin, Phys. Rev. B 14 (1976), 3110.

    Article  Google Scholar 

  9. E. S. Fradkin and A. A. Tseytlin, Nucl. Phys. B 261 (1985), 1.

    Article  Google Scholar 

  10. C. G. Callan, D. Friedan, E. J. Martinet and M. J. Perry, Nucl. Phys. B 262 (1985), 593.

    Article  Google Scholar 

  11. C. Lovelace, Phys. Letters 135 B (1984), 75.

    Google Scholar 

  12. E. Brezin, J. Zinn-Justin, Phys. Rev. Letters 36 (1976), 691.

    Article  Google Scholar 

  13. E. Brezin, J. C. Guillou and J. Zinn-Justin, Phys. Rev. D 14 (1976), 2615.

    Article  Google Scholar 

  14. G. Bonnaeu and F. Delduc, Nucl. Phys. B 266 (1986), 536.

    Article  Google Scholar 

  15. F. Delduc and G. Valent, Nucl. Phys. B 253 (1985), 494.

    Article  Google Scholar 

  16. G. Valent, Nucl. Phys. B 238 (1984), 142.

    Article  Google Scholar 

  17. A. Blasi and R. Collina, Nucl. Phys. B (1987) in publication.

    Google Scholar 

  18. K. G. Wilson and J. Kogut, Phys. Reports C 12 (1974), 75.

    Article  Google Scholar 

  19. A. M. Polyakov, Phys. Letters 59 B (1975), 79.

    Google Scholar 

  20. G. Parisi, Phys. Letters 76 B (1978), 65 and Nucl. Phys. B 150 (1979), 163.

    Google Scholar 

  21. F. David, Nucl. Phys. B 293 (1982), 433 and Nucl. Phys. B234 (1984), 237.

    Article  Google Scholar 

  22. A. Lichnerowicz, Theorie globale des connections et des groupes d'holonomie, Edizioni Cremonese, Roma (1962).

    Google Scholar 

  23. R. Oehme. W. Zimmermann, Commun. Math. Phys. 97 (1985),569.

    Article  Google Scholar 

  24. O. Piguet and K. Sibold, this book.

    Google Scholar 

  25. D. Friedan, Phys. Rev. Letters 45 (1980) 1057 and Ann. Phys. (N. Y.) 163 (1985), 318.

    Article  Google Scholar 

  26. L. Alvarez-Gaume, D. Friedan and S. Mukhi, Ann. Phys. (N. Y.) 134 (1981), 85.

    Article  Google Scholar 

  27. S.Elitzur, Institute for Advanced Studies (1979) and Nucl. Phys. B 212 (1983), 536.

    Google Scholar 

  28. P. S. Howe, G. Papadopoulos and K. S. Stelle, Nucl. Phys.

    Google Scholar 

  29. F. David, Phys. Letters 96 B (1980), 371 and Commun. Math. Phys. 81 (1981), 149.

    Google Scholar 

  30. A. A. Slavnov, T. M. O. 10 (1972), 153.

    Google Scholar 

  31. C. Becchi, A. Rouet, R. Stora, Phis. Letters 52 B (1974), 344.

    Google Scholar 

  32. M. Henneaux, Phys. Reports 126 (1985) 2.

    Google Scholar 

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Peter Breitenlohner Dieter Maison Klaus Sibold

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© 1988 Springer-Verlag

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Becchi, C. (1988). The non-linear sigma model. In: Breitenlohner, P., Maison, D., Sibold, K. (eds) Renormalization of Quantum Field Theories with Non-linear Field Transformations. Lecture Notes in Physics, vol 303. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0033720

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  • DOI: https://doi.org/10.1007/BFb0033720

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19263-3

  • Online ISBN: 978-3-540-39178-4

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