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Spontaneous Breaking of Lie and Current Algebras

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Abstract

The anomalous properties of Nambu–Goldstone bosons, found by Miransky and others in the symmetry breaking induced by a chemical potential, are attributed to the SSB of Lie and current algebras. Ferromagnetism, antiferromagnetism, and their relativistic analogs are discussed as examples.

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REFERENCES

  1. H. B. Nielsen and S. Chadha, Nucl. Phys. B 105:445(1976).

    Google Scholar 

  2. V. A. Miransky and I. A. Shovkovy, Phys. Rev. Lett. 88:11601(2002); hep-ph/0108178.

    Google Scholar 

  3. T. Schaefer et al., hep-ph/0108210.

  4. I. Low and A. V. Manohar, hep-th/0110285.

  5. F. Sannino, hep-ph/0211367.

  6. C. J. Isham, A. Salam, and J. Streater, Phys. Rev. D 2:685(1979).

    Google Scholar 

  7. N. Nakanishi and I. Ojima, Phys. Rev. Lett. 43:91(1979).

    Google Scholar 

  8. T. Kugo, H. Terao, and S. Uehara, Prog. Theoret. Phys. Suppl. 85:122(1985).

    Google Scholar 

  9. H. Leutwyler, Phys. Rev. D 49:3033(1994), and references therein.

    Google Scholar 

  10. D. Collady and V. A. Kostelecky, Phys. Rev. D 58:116002(1998).

    Google Scholar 

  11. V. A. Kostelecky and R. Lehnert, Phys. Rev. D 63:065008(2001).

    Google Scholar 

  12. D. Weslowski and Y. Hosotani, Nucl. Phys. B 354:396(1995).

    Google Scholar 

  13. P. A. M. Dirac, Proc. Roy. Soc. Ser. A 209:291(1951).

    Google Scholar 

  14. J. D. Bjorken, Ann. Phys. 24:74(1963); hep-th/0111196.

    Google Scholar 

  15. G. S. Guralnik, Phys. Rev. B 136:1404, 1417 (1964).

    Google Scholar 

  16. Y. NambuProc. of the Second Meeting on CPT and Lorentz Symmetry, A. Kostelecky, ed. (World Scientific, 2002), p. 1.

  17. P. Krauss and E. T. Tomboulis, hep-th/0203221.

  18. S. R. Das, C. Gomez, and S.-J. Ray, hep-th/0203164; S. R. Das and C. Gomez, hep-th/0206062.

  19. S. M. Carrol, G. B. Fried, and R. Jackiw, Phys. Rev. D 41:1231(1990).

    Google Scholar 

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Nambu, Y. Spontaneous Breaking of Lie and Current Algebras. Journal of Statistical Physics 115, 7–17 (2004). https://doi.org/10.1023/B:JOSS.0000019827.74407.2d

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  • DOI: https://doi.org/10.1023/B:JOSS.0000019827.74407.2d

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