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Chiral symmetry breaking and the pion wave function

H. Mishra and S. P. Misra*

  • Institute of Physics, Bhubaneswar-751005, India

  • *Electronic address: spmisra@iopb.ernet.in
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Phys. Rev. D 48, 5376 – Published 1 December, 1993

DOI: https://doi.org/10.1103/PhysRevD.48.5376

Abstract

We consider here chiral symmetry breaking through a nontrivial vacuum structure with quark-antiquark condensates. We then relate the condensate function to the wave function of the pion as a Goldstone mode. This simultaneously yields the pion also as a quark-antiquark bound state as a localized zero mode in vacuum. We illustrate the above through the Nambu—Jona-Lasinio model to calculate different pionic properties in terms of the vacuum structure for breaking of exact or approximate chiral symmetry, as well as the condensate fluctuations giving rise to σ mesons.

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References (17)

  1. Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961) ibid.124, 246 (1961)
  2. J. R. Finger and J. E. Mandula, Nucl. Phys. B199, 168 (1982) S. L. Adler and A. C. Davis, ibid. B244, 469 (1984) R. Alkofer and P. A. Amundsen, ibid. B306, 305 (1988)
  3. S. Li, R. S. Bhalerao, and R. K. Bhaduri, Int. J. Mod. Phys. A 6, 501 (1991) V. Bernard, Phys. Rev. D 34, 1601 (1986)
  4. J. da Providencia, M. C. Ruivo, and C. A. de Sousa, Phys. Rev. D 36, 1882 (1987) B. Haeri and M. B. Haeri, ibid. 43, 3732 (1991) B. Rosenstein, B. J. Warr, and S. H. Park, Phys. Rep. 205, 59 (1991) U. Vogl and W. Weise, Prog. Part. Nucl. Phys. 27, 195 (1991) L. N. Chang, N. P. Chang, and K. C. Chou, Phys. Rev. D 43, 596 (1991) Lay Nam Chang and Ngee Pong Chang, ibid. 45, 2988 (1992) S. P. Klevensky, Rev. Mod. Phys. 64, 649 (1992)
  5. H. Mishra, S. P. Misra, and A. Mishra, Int. J. Mod. Phys. A 3, 2331 (1988) A. Mishra, H. Mishra, S. P. Misra, and S. N. Nayak, Phys. Lett. B 251, 541 (1990) Phys. Rev. D 44, 110 (1991) Pramana 37, 59 (1991) Z. Phys. C 57, 233 (1993) A. Mishra, H. Mishra, and S. P. Misra, 59, 159 (1993)
  6. A. Mishra, H. Mishra, and S. P. Misra, Z. Phys. C 57, 241 (1993)
  7. J. Goldstone, Nuovo Cimento 19, 154 (1961) J. Goldstone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962)
  8. S. P. Misra, talk given at the Symposium on Quantum Field Theory and Statistical Mechanics, Calcutta, India, 1992 (unpublished)
  9. Y. Nambu, in New Theories in Physics, Proceedings of the Eleventh International Symposium on Elementary Particle Physics, Kazimierz, Poland, edited by Z. Ajduk, S. Pokoroski, and A. Trautman (World Scientific, Singapore, 1989) W. J. Marciano, Phys. Rev. Lett. 62, 2793 (1989) Phys. Rev. D 41, 219 (1990) W. A. Bardeen, C. T. Hill, and M. Linder, ibid. 41, 1647 (1990)
  10. K. S. Babu and Rabindra N. Mohapatra, Phys. Rev. Lett. 66, 556 (1991)
  11. S. P. Misra, Phys. Rev. D 18, 1661 (1978) ibid.18, 1673 (1978)
  12. A. Mishra and S. P. Misra, Z. Phys. C 58, 325 (1993)
  13. A. Le Yaouanc, L. Oliver, S. Ono, O. Pène, and J. C. Raynal, Phys. Rev. Lett. 54, 506 (1985)
  14. H. Mishra, S. P. Misra, P. K. Panda, and B. K. Parida, Int. J. Mod. Phys. E 1, 405 (1992)
  15. J. J. Sakurai, Currents and Mesons (The University of Chicago Press, Chicago, 1969), p. 83
  16. Bernard in [3]
  17. A. Amer, A. Le Yaouanc, L. Oliver, O. Pène, and J. C. Raynal, Phys. Rev. Lett. 50, 87 (1983) Phys. Rev. D 28, 1530 (1983)

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Phys. Rev. D 48, 5376– Published 1 December, 1993
  • Received 26 February 1993

© 1993 American Physical Society

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