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Quantum gravity, torsion, parity violation, and all that

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dc.contributorVirginia Techen
dc.contributor.authorFreidel, L.en
dc.contributor.authorMinic, Djordjeen
dc.contributor.authorTakeuchi, Tatsuen
dc.contributor.departmentInstitute for Particle, Nuclear and Astronomical Sciences (IPNAS)en
dc.contributor.departmentPhysicsen
dc.date.accessed2013-12-16en
dc.date.accessioned2013-12-18T19:46:39Zen
dc.date.available2013-12-18T19:46:39Zen
dc.date.issued2005-11en
dc.description.abstractWe 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 nonminimal coupling of fermions in the presence of torsion, the other being the Immirzi parameter. In the case of nonminimal 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 nonminimal coupling. Finally, the effective Lagrangian blows up for the positive and negative unit imaginary values of the Immirzi parameter.en
dc.identifier.citationFreidel, L ; Minic, D ; Takeuchi, T, NOV 2005. “Quantum gravity, torsion, parity violation, and all that,” PHYSICAL REVIEW D 72(10): 104002. DOI: 10.1103/PhysRevD.72.104002en
dc.identifier.doihttps://doi.org/10.1103/PhysRevD.72.104002en
dc.identifier.issn1550-7998en
dc.identifier.urihttp://hdl.handle.net/10919/24745en
dc.identifier.urlhttp://link.aps.org/doi/10.1103/PhysRevD.72.104002en
dc.language.isoen_USen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.holderAmerican Physical Societyen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectspaceen
dc.subjectAstronomy & Astrophysicsen
dc.subjectPhysicsen
dc.titleQuantum gravity, torsion, parity violation, and all thaten
dc.title.serialPhysical Review Den
dc.typeArticle - Refereeden

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