Quantum anomalies and Newtonian gravity on quantum spacetime

Details Quantum anomalies and Newtonian gravity on quantum spacetime Quantum anomalies and Newtonian gravity on quantum spacetime

2011-09-28

arxiv.org/abs/1109.6190v1

Physics

Mathematical Physics

9 pages 1 figure. This material was formerly a section within arXiv:1009.2201 and has been deleted from there and from its pub

Scientific paper

It is known that sufficiently noncommutative quantum spacetimes do not admit covariant differential calculi of classical dimensions. The bicrossproduct model $\lambda$-Minkowski (or `$\kappa$-Minkowski') quantum spacetime introduced by the author and H. Ruegg has such an anomaly for the action of the Poincare quantum group which was resolved by an extra cotangent direction $\theta'$ not visible classically. We show that gauging a coefficient of $\theta'$ introduces gravity into the model. Effects include an induced constant term in the potential energy and a weakening of gravity as the test particle mass increases.

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