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arXiv · 1509.01203

Non-Hermitian extension of gauge theories and implications for neutrino physics

Jean Alexandre·Carl M. Bender·Peter Millington
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Abstract

An extension of QED is considered in which the Dirac fermion has both Hermitian and anti-Hermitian mass terms, as well as both vector and axial-vector couplings to the gauge field. Gauge invariance is restored when the Hermitian and anti-Hermitian masses are of equal magnitude, and the theory reduces to that of a single massless Weyl fermion. An analogous non-Hermitian Yukawa theory is considered, and it is shown that this model can explain the smallness of the light-neutrino masses and provide an additional source of leptonic CP violation.

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Jean Alexandre, Carl M. Bender, Peter Millington. 2015-11-11. Non-Hermitian extension of gauge theories and implications for neutrino physics. https://doi.org/10.1007/jhep11(2015)111

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