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arXiv · 1910.03985

Spontaneously Breaking Non-Abelian Gauge Symmetry in Non-Hermitian Field Theories

Jean Alexandre·John Ellis·Peter Millington·Dries Seynaeve
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Abstract

We generalise our previous formulation of gauge-invariant PT-symmetric field theories to include models with non-Abelian symmetries and discuss the extension to such models of the Englert-Brout-Higgs-Kibble mechanism for generating masses for vector bosons. As in the Abelian case, the non-Abelian gauge fields are coupled to non-conserved currents. We present a consistent scheme for gauge fixing, demonstrating Becchi-Rouet-Stora-Tyutin invariance, and show that the particle spectrum and interactions are gauge invariant. We exhibit the masses that gauge bosons in the simplest two-doublet SU(2)xU(1) model acquire when certain scalar fields develop vacuum expectation values: they and scalar masses depend quartically on the non-Hermitian mass parameter mu. The bosonic mass spectrum differs substantially from that in a Hermitian two-doublet model. This non-Hermitian extension of the Standard Model opens a new direction for particle model building, with distinctive predictions to be explored further.

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Jean Alexandre, John Ellis, Peter Millington, Dries Seynaeve. 2019-10-09. Spontaneously Breaking Non-Abelian Gauge Symmetry in Non-Hermitian Field Theories. https://doi.org/10.1103/physrevd.101.035008

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