Some Mathematical Issues Pertaining to Translational Gauge Theories

dc.creatorDelphenich, David
dc.date2004-01-15
dc.date.accessioned2026-07-07T03:28:24Z
dc.date.available2026-07-07T03:28:24Z
dc.descriptionSome mathematical aspects of using the translation group as an internal symmetry group in a gauge field theory are presented and discussed. The traditional manner in which gravitation can be accounted for by the introduction of a global frame field on a parallelizable spacetime is reviewed. It is then discussed in the more general context of a global frame field on the bundle of linear frames. In the process, the elements of variational field theory for physical fields defined on G-structures are set down. It is suggested that it is probably more proper to attribute gravitation to a reduction of the bundle of linear frames to {e} -- at least over a generic submanifold of spacetime -- than to a reduction to the Lorentz group since the Lorentz group is more intrinsic to electromagnetism and gravitation has the character of a "residual" symmetry of spacetime at the astrophysical level.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0401066
dc.identifierhttp://arxiv.org/abs/gr-qc/0401066
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34813
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSome Mathematical Issues Pertaining to Translational Gauge Theories
dc.typetext

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