Quantum Gravity, Torsion, Parity Violation and all that

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dc.creatorFreidel, Laurent
dc.creatorMinic, Djordje
dc.creatorTakeuchi, Tatsu
dc.date2005-07-26
dc.date2005-09-16
dc.date.accessioned2026-07-07T10:30:13Z
dc.date.available2026-07-07T10:30:13Z
dc.descriptionWe discuss the issue of parity violation in quantum gravity. In particular, we study the coupling of fermionic degrees of freedom in the presence of torsion and the physical meaning of the Immirzi parameter from the viewpoint of effective field theory. We derive the low-energy effective lagrangian which turns out to involve two parameters, one measuring the non-minimal coupling of fermions in the presence of torsion, the other being the Immirzi parameter. In the case of non-minimal coupling the effective lagrangian contains an axial-vector interaction leading to parity violation. Alternatively, in the case of minimal coupling there is no parity violation and the effective lagrangian contains only the usual axial-axial interaction. In this situation the real values of the Immirzi parameter are not at all constrained. On the other hand, purely imaginary values of the Immirzi parameter lead to violations of unitarity for the case of non-minimal coupling. Finally, the effective lagrangian blows up for the positive and negative unit imaginary values of the Immirzi parameter.
dc.description11 pages, LaTeX; (two footnotes, acknowledgements and references added, typos corrected)
dc.identifierhttps://arxiv.org/abs/hep-th/0507253
dc.identifierhttp://arxiv.org/abs/hep-th/0507253
dc.identifierPhys.Rev.D72:104002,2005
dc.identifierdoi:10.1103/PhysRevD.72.104002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178063
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Phenomenology
dc.titleQuantum Gravity, Torsion, Parity Violation and all that
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