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Manifestly covariant canonical quantization III: Gravity, locality, and diffeomorphism anomalies in four dimensions

2005/04/04 by T. A. Larsson, Larsson, T. A.
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0504020

arxiv created 2005/04/04 · openalex publication_date 2005/04/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The recently introduced manifestly covariant canonical quantization scheme is applied to gravity. New diffeomorphism anomalies generating a multi-dimensional generalization of the Virasoro algebra arise. This does not contradict theorems about the non-existence of gravitational anomalies in four dimensions, because the relevant cocycles depend on the observer's spacetime trajectory, which is ignored in conventional field theory. Rather than being inconsistent, these anomalies are necessary to obtain a \em local theory of quantum gravity.

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