Signature Change and Clifford Algebras

Simple item page
dc.creatorMiralles, David
dc.creatorParra, Josep Manel
dc.creatorVaz Jr, Jayme
dc.date2000-03-29
dc.date.accessioned2026-07-07T04:27:45Z
dc.date.available2026-07-07T04:27:45Z
dc.descriptionGiven the real Clifford algebra of a quadratic space with a given signature, we define a new product in this structure such that it simulates the Clifford product of a quadratic space with another signature different from the original one. Among the possible applications of this new product, we use it in order to write the minkowskian Dirac equation over the euclidean spacetime and to define a new duality operation in terms of which one can find self-dual and anti-self-dual solutions of gauge fields over Minkowski spacetime analogous to the ones over Euclidean spacetime and without needing to complexify the original real algebra.
dc.description11 pages, Latex file, no figures. To appear in International Journal of Theoretical Physics
dc.identifierhttps://arxiv.org/abs/math-ph/0003041
dc.identifierhttp://arxiv.org/abs/math-ph/0003041
dc.identifierInt.J.Theor.Phys. 40 (2001) 229-242
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56530
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subject15A66 (Primary), 15A63 (Secondary)
dc.titleSignature Change and Clifford Algebras
dc.typetext

Files

Collections

arXiv