Abstract
Field equations of the S2 sigma model (“the A3 model”) with spontaneously broken Z(2) symmetry are presented for (D+1)-dimensional space–time. The A3 model is an extension of the sine-Gordon equation (SGE) and supports kink-like U(1) charged solitons which are a generalization of neutral solitons of the SGE. The natural question arises — is the A3 model completely integrable in (1+1)-dimensional space–time? The Lorentz-invariant scalar A3 field can be viewed as a promising alternative to the Higgs field.
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Bogolubsky, I.L., Bogolubskaya, A.A. In Search of Alternatives to Higgs Fields. Journal of Russian Laser Research 23, 122–131 (2002). https://doi.org/10.1023/A:1015152608476
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DOI: https://doi.org/10.1023/A:1015152608476