Manifestly covariant canonical quantization of gravity and diffeomorphism anomalies in four dimensions

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dc.creatorLarsson, T. A.
dc.date2007-09-17
dc.date.accessioned2026-07-07T08:30:45Z
dc.date.available2026-07-07T08:30:45Z
dc.descriptionCanonical quantization of gravity requires knowledge about the representation theory of its constraint algebra, which is physically equivalent to the algebra of arbitrary 4-diffeomorphisms. All interesting lowest-energy representations are projective, making the relevant algebra into a four-dimensional generalization of the Virasoro algebra. Such diffeomorphism anomalies are invisible in field theory, because the relevant cocycles are functionals of the observer's trajectory in spacetime. The multi-dimensional Virasoro algebra acts naturally in the phase space of arbitrary histories, with dynamics playing the role of first-class constraints. General relativity is regularized by expanding all fields in Taylor series around the observer's trajectory, and truncating at some fixed order. This regularized but manifestly general-covariant theory is quantized in the history phase space, and dynamics is imposed afterwards, in analogy with BRST quantization. Infinities arise when the regularization is removed; it is presently unclear how these should be dealt with.
dc.descriptionIn: Focus on quantum gravity research, ed: David C. Moore, pp 261-310, 2006 Nova Science Publishers Inc. ISBN 1-59454-660-6
dc.identifierhttps://arxiv.org/abs/0709.2540
dc.identifierhttp://arxiv.org/abs/0709.2540
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138318
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleManifestly covariant canonical quantization of gravity and diffeomorphism anomalies in four dimensions
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