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Part of the book series: NATO Science Series ((NAII,volume 83))

Abstract

We show that mass generation in 1+1 and 3+1 dimensions may occur together with spontaneous symmetry breaking.

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References

  1. Skyrme, T. H. R. (1958) A nonlinear theory of strong interactions, Proc. Roy. Soc. A 247, 260

    ADS  Google Scholar 

  2. Coleman, S. (1975) Quantum sine-Gordon equation as the massive Thirring model Phys. Rev. D 11, 2088

    ADS  Google Scholar 

  3. Thirring, W. (1958) A soluble relativistic field theory, Ann. Phys. (N.Y.) 3, 91

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Klaiber, B. (1968) The Thirring model, in Lectures in Theoretical Physics, Lectures delivered at the Summer Institute for Theoretical Physics, University of Colorado, Boulder, 1967, edited by A. Barut and W. Brittin, Gordon and Breach, New York,, Vol. X, part A, pp. 141-176

    Google Scholar 

  5. Furuya, K., Saravi, Gamboa Re. E., and Schaposnik, F. A. (1982) Path integral formulation of chiral invariant fermion models in two dimensions, Nucl. Phys. B 208, 159

    Article  ADS  Google Scholar 

  6. Fröhlich, J. and Marchetti, P. (1988) Bosonisation, topological solitons and fractional charges in two-dimensional quantum field theory, Commun. Math. Phys. 116, 127

    Article  ADS  MATH  Google Scholar 

  7. Damgaard, P. H., Nielsen, H. B., and Sollacher, R. (1992) Smooth bosonisation: The Cheshire cat revisited, Nucl. Phys. B 385, 227 and references therein

    Article  MathSciNet  ADS  Google Scholar 

  8. Faber, M., and Ivanov, A. N. (2001) On the equivalence between sine-Gordon model and Thirring model in the chirally broken phase of the Thirring model, Eur. Phys. J. C 20, 723 [hep-th/0105057]

    Article  ADS  Google Scholar 

  9. Gell-Mann, M., Oakes, R. J., and Renner, B. (1968) Behavior of current divergences under SU(3) x SU(3), Phys. Rev. 175, 2195

    Article  ADS  Google Scholar 

  10. Faber, M. (2001) A model for topological fermions, Few Body Systems 30, 149 [hep-th/9910221]

    Article  ADS  Google Scholar 

  11. Baker, M., Ball, J. S. and Zachariasen, F. (1994) Classical electrodynamics with dual potentials, [hep-th/9403169]

    Google Scholar 

  12. Dirac, P.A.M. (1948) The theory of magnetic poles, Phys. Rev. 74, 817.

    Article  MathSciNet  ADS  MATH  Google Scholar 

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© 2002 Springer Science+Business Media Dordrecht

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Faber, M., Wabnig, J., Ivanov, A.N. (2002). Solitons and Spontaneous Symmetry Breaking in 2 and 4 Dimensions. In: Greensite, J., Olejník, Š. (eds) Confinement, Topology, and Other Non-Perturbative Aspects of QCD. NATO Science Series, vol 83. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0502-9_14

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  • DOI: https://doi.org/10.1007/978-94-010-0502-9_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0874-0

  • Online ISBN: 978-94-010-0502-9

  • eBook Packages: Springer Book Archive

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