A teleparallel model for the neutrino

dc.creatorVassiliev, Dmitri
dc.date2006-04-04
dc.date.accessioned2026-07-07T10:28:17Z
dc.date.available2026-07-07T10:28:17Z
dc.descriptionThe main result of the paper is a new representation for the Weyl Lagrangian (massless Dirac Lagrangian). As the dynamical variable we use the coframe, i.e. an orthonormal tetrad of covector fields. We write down a simple Lagrangian - wedge product of axial torsion with a lightlike element of the coframe - and show that variation of the resulting action with respect to the coframe produces the Weyl equation. The advantage of our approach is that it does not require the use of spinors, Pauli matrices or covariant differentiation. The only geometric concepts we use are those of a metric, differential form, wedge product and exterior derivative. Our result assigns a variational meaning to the tetrad representation of the Weyl equation suggested by J.B.Griffiths and R.A.Newing.
dc.description4 pages, REVTeX
dc.identifierhttps://arxiv.org/abs/gr-qc/0604011
dc.identifierhttp://arxiv.org/abs/gr-qc/0604011
dc.identifierPhys.Rev.D75:025006,2007
dc.identifierdoi:10.1103/PhysRevD.75.025006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177395
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleA teleparallel model for the neutrino
dc.typetext

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