Consistency of matter field equations in Ashtekar formulation

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dc.creatorTsuda, M.
dc.creatorShirafuji, T.
dc.date1996-02-13
dc.date.accessioned2026-07-07T03:31:01Z
dc.date.available2026-07-07T03:31:01Z
dc.descriptionThe chiral Lagrangian including more than two spin-3/2 fields becomes complex in general when the self-dual connection satisfies its equation of motion, and the imaginary part of the chiral Lagrangian gives the additional equation for spin-3/2 fields which gives rise to the inconsistency. This inconsistency can be removed by taking the tetrad to be complex and defining the total Lagrangian which is the sum of the chiral Lagrangian and its complex conjugate. It is possible to establish the right (left)-handed supersymmetry in its total Lagrangian as in the case of the chiral Lagrangian. We also comment on the canonical formulation of the total Lagrangian.
dc.description8 pages, latex
dc.identifierhttps://arxiv.org/abs/gr-qc/9602022
dc.identifierhttp://arxiv.org/abs/gr-qc/9602022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35718
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleConsistency of matter field equations in Ashtekar formulation
dc.typetext

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