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Chiral Symmetry Breaking — Rigorous Results

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Part of the book series: Mathematical Physics Studies ((MPST,volume 13))

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Abstract

We prove the occurrence of chiral symmetry breaking in a class of lattice gauge models with infinite strength of the gauge coupling.

Talk given by E. Seiler at the first Max-Born-Symposium held at Wojnowice castle (Poland), September 1991

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References

  1. Y. Nambu, Phys. Rev. Lett. 4 (1960) 380.

    Article  ADS  Google Scholar 

  2. J. Frohlich, B. Simon and T. Spencer, Commun. Math. Phys. 50 (1976) 79.

    Article  MathSciNet  ADS  Google Scholar 

  3. M. Salmhofer and E. Seiler, Commun. Math. Phys. 139 (1991) 395.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. M. Salmhofer, Ph.D. thesis, MPI-PAE-PTh 80/90

    Google Scholar 

  5. P. Rossi and U. Wolff, Nucl. Phys. B248 (1984) 105; U. Wolff, Nucl. Phys. B280 (1987) 680.

    Article  ADS  Google Scholar 

  6. Y. Nambu and G. Jona-Lasinio, Phys.Rev. 122 (1961) 345.

    Article  ADS  Google Scholar 

  7. C. Gruber and H. Kunz, Commun. Math. Phys. 22 (1971) 133.

    Article  MathSciNet  ADS  Google Scholar 

  8. O. Heilmann and E. Lieb, Commun. Math. Phys. 25 (1972) 190.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. O. Penrose and J. Lebowitz, Commun. Math. Phys. 39 (1974) 165.

    Article  MathSciNet  ADS  Google Scholar 

  10. S. Coleman, Commun. Math. Phys. 31 (1973) 259.

    Article  ADS  MATH  Google Scholar 

  11. N.D. Mermin and H. Wagner, Phys. Rev. Lett. 17 (1966) 1133.

    Article  ADS  Google Scholar 

  12. N.D. Mermin, J. Math. Phys. 8 (1967) 1061.

    Article  ADS  Google Scholar 

  13. R.L. Dobrushin and S.B. Shlosman, Commun. Math. Phys. 42 (1975) 31.

    Article  MathSciNet  ADS  Google Scholar 

  14. C. Pfister, Commun. Math. Phys. 79 (1981) 181.

    Article  MathSciNet  ADS  Google Scholar 

  15. J. Fröhlich and C. Pfister, Commun. Math. Phys. 81 (1981) 277.

    Article  ADS  Google Scholar 

  16. M.E. Fisher and J. Stephenson, Phys.Rev. 132 (1963) 1411.

    Article  MathSciNet  ADS  MATH  Google Scholar 

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© 1992 Springer Science+Business Media Dordrecht

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Salmhofer, M., Seiler, E. (1992). Chiral Symmetry Breaking — Rigorous Results. In: Gielerak, R., Lukierski, J., Popowicz, Z. (eds) Groups and Related Topics. Mathematical Physics Studies, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2801-8_21

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  • DOI: https://doi.org/10.1007/978-94-011-2801-8_21

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5244-3

  • Online ISBN: 978-94-011-2801-8

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