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

A bstract 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 the...

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Veröffentlicht in:The journal of high energy physics 2015-11, Vol.2015 (11), p.1-24, Article 111
Hauptverfasser: Alexandre, Jean, Bender, Carl M., Millington, Peter
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Sprache:eng
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Zusammenfassung:A bstract 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 C P violation.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2015)111