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EnglishThe description of the phase space of relativistic particles coupled to three-dimensional Einstein gravity requires momenta which are coordinates on a group manifold rather than on ordinary Minkowski space. The corresponding field theory turns out to be a non-commutative field theory on configuration space and a group field theory on momentum space. Using basic non-commutative Fourier transform tools we introduce the notion of non-commutative heat-kernel associated with the Laplacian on the non-commutative configuration space. We show that the spectral dimension associated to the non-commutative heat kernel varies with the scale reaching a non-integer value smaller than three for Planckian diffusion scales. (C) 2011 Published by Elsevier B.V.
| Titolo: | Anomalous dimension in three-dimensional semiclassical gravity | |
| Autori: | Alesci E; Arzano M | |
| Rivista: | ||
| Data di pubblicazione: | 2012 | |
| Volume: | 707 | |
| Fascicolo: | 2 | |
| Pagina iniziale: | 272 | |
| Pagina finale: | 277 | |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.physletb.2011.12.026 | |
| Appare nelle tipologie: | 1.1 Journal article |
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http://hdl.handle.net/20.500.11767/32861
