Loop-deformed Poincaré algebra
Institute of Physics, Jagiellonian University - łojasiewicza 11, 30-348 Cracow, Poland and Department of Fundamental Research, National Centre for Nuclear Research - Hoża 69, 00-681 Warsaw, Poland
Received: 16 July 2014
Accepted: 24 October 2014
In this letter we present evidence suggesting that loop quantum gravity leads to deformation of the local Poincaré algebra within the limit of high energies. This deformation is a consequence of quantum modification of effective off-shell hypersurface deformation algebra. Surprisingly, the form of deformation suggests that the signature of space-time changes from Lorentzian to Euclidean at large curvatures. We construct particular realization of the loop-deformed Poincaré algebra and find that it can be related to curved momentum space, which indicates the relationship with recently introduced notion of relative locality. The presented findings open a new way of testing loop quantum gravity effects.
PACS: 04.60.Pp – Loop quantum gravity, quantum geometry, spin foams / 11.30.Cp – Lorentz and Poincaré invariance / 04.60.Bc – Phenomenology of quantum gravity
© EPLA, 2014