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Spontaneous symmetry breaking of affine field theory

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Abstract

It is possible to construct non-Abelian field theories by gauging Kac-Moody algebras. Here we discuss the spontaneous symmetry breaking of such theories via the Higgs mechanism. If the Higgs particle lies in the Cartan subalgebra of the Kac-Moody algebra, the previously massless vectors acquire a mass spectrum that is linear in the Kac-Moody index and has additional fine structure depending on the associated Lie algebra.

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References

  1. Cadavid, A. C. and Finkelstein, R. J., Lett. Math. Phys. 16, 279–285 (1988).

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Authors and Affiliations

  1. Department of Physics, University of California, 90024, Los Angeles, CA, USA

    A. C. Cadavid & R. J. Finkelstein

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  1. A. C. Cadavid
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  2. R. J. Finkelstein
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Cadavid, A.C., Finkelstein, R.J. Spontaneous symmetry breaking of affine field theory. Lett Math Phys 17, 157–164 (1989). https://doi.org/10.1007/BF00402330

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  • DOI: https://doi.org/10.1007/BF00402330

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