C. Nash, G. C. Joshi
Abstract
In the context of quaternion valued fields spontaneous symmetry breaking and the Higgs mechanism are investigated. In particular, for the potential −(μ2/2)φ̄φ−(λ/4)(φ̄φ)2, Goldstone’s theorem is studied and, for the gauge theory of automorphisms of the quaternions, a Higgs mechanism investigated.
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In the context of quaternion valued fields spontaneous symmetry breaking and the Higgs mechanism are investigated. In particular, for the potential −(μ2/2)φ̄φ−(λ/4)(φ̄φ)2, Goldstone’s theorem is studied and, for the gauge theory of automorphisms of the quaternions, a Higgs mechanism investigated.
Key concepts: Higgs mechanism, Quaternion, Spontaneous symmetry breaking, Higgs boson, Higgs field, Context (archaeology), Physics, Particle physics