2018
DOI: 10.1088/1475-7516/2018/04/008
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Symmetry breaking, and the effect of matter density on neutrino oscillation

Abstract: A proposal for the neutrino mass, based on neutrino-scalar field interaction, is introduced. The scalar field is also non-minimally coupled to the Ricci scalar, and hence relates the neutrino mass to the matter density. In a dense region, the scalar field obeys the Z 2 symmetry, and the neutrino is massless. In a dilute region, the Z 2 symmetry breaks and neutrino acquires mass from the non-vanishing expectation value of the scalar field. We consider this scenario in the framework of a spherical dense object w… Show more

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Cited by 3 publications
(2 citation statements)
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References 81 publications
(114 reference statements)
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“…It should be noted that there have been a great deal of work in the literature done on neutrinos as spinors in curved spacetime. We direct the interested reader to a few of them and references therein [16,17,18,19,20,21,22,23,24,25,26].…”
Section: Introductionmentioning
confidence: 99%
“…It should be noted that there have been a great deal of work in the literature done on neutrinos as spinors in curved spacetime. We direct the interested reader to a few of them and references therein [16,17,18,19,20,21,22,23,24,25,26].…”
Section: Introductionmentioning
confidence: 99%
“…For a Higgs like potential, this triggers the evolution of the quintessence. This idea was proposed and employed in the symmetron cosmology model [23][24][25], and is based on Z 2 symmetry breaking. However, in the symmetron model, through the symmetry breaking, the quintessence potential becomes negative unless we add a cosmological constant to the theory to provide the positive potential required for the acceleration [26].…”
Section: Introductionmentioning
confidence: 99%