Fermions in Loop Quantum Cosmology and the Role of Parity

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dc.creatorBojowald, Martin
dc.creatorDas, Rupam
dc.date2008-06-17
dc.date.accessioned2026-07-07T11:51:46Z
dc.date.available2026-07-07T11:51:46Z
dc.descriptionFermions play a special role in homogeneous models of quantum cosmology because the exclusion principle prevents them from forming sizable matter contributions. They can thus describe the matter ingredients only truly microscopically and it is not possible to avoid strong quantum regimes by positing a large matter content. Moreover, possible parity violating effects are important especially in loop quantum cosmology whose basic object is a difference equation for the wave function of the universe defined on a discrete space of triads. The two orientations of a triad are interchanged by a parity transformation, which leaves the difference equation invariant for ordinary matter. Here, we revisit and extend loop quantum cosmology by introducing fermions and the gravitational torsion they imply, which renders the parity issue non-trivial. A treatable locally rotationally symmetric Bianchi model is introduced which clearly shows the role of parity. General wave functions cannot be parity-even or odd, and parity violating effects in matter influence the microscopic big bang transition which replaces the classical singularity in loop quantum cosmology.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0806.2821
dc.identifierhttp://arxiv.org/abs/0806.2821
dc.identifierClass.Quant.Grav.25:195006,2008
dc.identifierdoi:10.1088/0264-9381/25/19/195006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204008
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleFermions in Loop Quantum Cosmology and the Role of Parity
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