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Introduction to Chiral Perturbation Theory

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The Standard Model and Beyond

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 118))

A brief introduction to chiral perturbation theory, the effective field theory of quantum chromodynamics at low energies, is given.

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References

  1. D. J. Gross and F. Wilczek: Phys. Rev. Lett. 30, 1343 (1973);H. D. Politzer: Phys. Rev. Lett. 30, 1346 (1973)

    Article  ADS  Google Scholar 

  2. I. Montvay and G. Münster, “Quantum fields on a lattice,” Cambridge University Press, Cambridge (1994);R. Gupta: [arXiv:hep-lat/9807028]

    Google Scholar 

  3. S. Weinberg: Physica 96 A, 327 (1979)

    ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  5. J. Gasser and H. Leutwyler: Nucl. Phys. B 250, 465 (1985)

    Article  ADS  Google Scholar 

  6. See e.g:V. Bernard, N. Kaiser and U.-G. Meißner: Int. J. Mod. Phys. E 4, 193 (1995);V. Bernard and U.-G. Meißner: [arXiv:hep-ph/0611231];G. Ecker: Prog. Part. Nucl. Phys. 35, 1 (1995);G. Ecker: [arXiv:hep-ph/0011026];J. Gasser: Lect. Notes Phys. 629, 1 (2004);H. Leutwyler: [arXiv:hep-ph/9406283];H. Leutwyler: [arXiv:hep-ph/0008124];A. V. Manohar: [arXiv: hep-ph/9606222];U.-G. Meißner: Rept. Prog. Phys. 56, 903 (1993);A. Pich: [arXiv:hep-ph/9806303];S. Scherer: Adv. Nucl. Phys. 27, 277 (2003);S. Scherer and M. R. Schindler: [arXiv:hep-ph/0505265]

    Google Scholar 

  7. W. Heisenberg and H. Euler: Z. Physik 98, 714 (1936)

    Article  ADS  Google Scholar 

  8. J. Schwinger: Phys. Rev. 82, 664 (1951)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  9. W.-M. Yao et al. [Particle Data Group Collaboration]: J. Phys. G 33, 1 (2006)

    Article  ADS  Google Scholar 

  10. Y. Nambu: Phys. Rev. Lett. 4, 380 (1960); Phys. Rev. 117, 648 (1960);Y. Nambu and G. Jona-Lasinio: Phys. Rev. 122, 345 (1961)

    Article  ADS  Google Scholar 

  11. B. R. Holstein: Phys. Lett. B 244, 83 (1990)

    Article  ADS  Google Scholar 

  12. N. H. Fuchs, H. Sazdjian and J. Stern: Phys. Lett. B 269, 183 (1991);M. Knecht, H. Sazdjian, J. Stern and N. H. Fuchs: Phys. Lett. B 313, 229 (1993)

    Article  ADS  Google Scholar 

  13. M. A. Shifman, A. I. Vainshtein and V. I. Zakharov: Nucl. Phys. B 147, 385 (1979)

    Article  ADS  Google Scholar 

  14. R. Dashen: Phys. Rev. 183, 1245 (1969)

    Article  ADS  Google Scholar 

  15. S. Weinberg: Trans. NY Acad. Sci. 38, 185 (1977)

    Google Scholar 

  16. J. Bijnens, G. Colangelo and G. Ecker: JHEP 9902, 020 (1999)

    Article  ADS  Google Scholar 

  17. I. Gerstein, R. Jackiw, B. W. Lee and S. Weinberg: Phys. Rev. D 3, 2486 (1971)

    Article  ADS  MathSciNet  Google Scholar 

  18. J. Bijnens, G. Colangelo and G. Ecker: Annals Phys. 280, 100 (2000)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  19. See, e.g., C. Aubin et al. [MILC Collaboration]: Phys. Rev. D 70, 114501 (2004)

    Google Scholar 

  20. J. Bijnens, G. Ecker and J. Gasser: [arXiv:hep-ph/9411232]

    Google Scholar 

  21. G. Ecker, J. Gasser, A. Pich and E. de Rafael: Nucl. Phys. B 321, 311 (1989);J. F. Donoghue, C. Ramirez and G. Valencia: Phys. Rev. D 39, 1947 (1989)

    Article  ADS  Google Scholar 

  22. J. F. Donoghue, B. R. Holstein and D. Wyler: Phys. Rev. D 47, 2089 (1993);R. Baur and R. Urech: Phys. Rev. D 53, 6552 (1996);J. Bijnens and J. Prades: Nucl. Phys. B 490, 239 (1997)

    Article  ADS  Google Scholar 

  23. J. Kambor, C. Wiesendanger and D. Wyler: Nucl. Phys. B 465, 215 (1996);A. V. Anisovich and H. Leutwyler: Phys. Lett. B 375, 335 (1996);B. V. Martemyanov and V. S. Sopov: Phys. Rev. D 71, 017501 (2005)

    Google Scholar 

  24. W. A. Bardeen: Phys. Rev. 184, 1848 (1969);K. Fujikawa: Phys. Rev. Lett. 42, 1195 (1979)

    Article  ADS  Google Scholar 

  25. S. Weinberg: Phys. Rev. D 11, 3583 (1975)

    Article  ADS  Google Scholar 

  26. E. Witten: Ann. Phys. (N.Y.) 128, 363 (1980);P. di Vecchia and G. Veneziano: Nucl. Phys. B 171, 253 (1980)

    Article  ADS  Google Scholar 

  27. R. Kaiser and H. Leutwyler: Eur. Phys. J. C 17, 623 (2000)

    Article  ADS  MATH  Google Scholar 

  28. A. Pich and E. de Rafael: Nucl. Phys. B 367, 313 (1991);B. Borasoy: Phys. Rev. D 61, 114017 (2000)

    Article  ADS  Google Scholar 

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Borasoy, B. (2008). Introduction to Chiral Perturbation Theory. In: Aliev, T., Pak, N.K., Serin, M. (eds) The Standard Model and Beyond. Springer Proceedings in Physics, vol 118. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73621-9_1

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