Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-06-21
Nucl.Phys.B807:251-264,2009
Physics
High Energy Physics
High Energy Physics - Lattice
19 pages, 9 figures
Scientific paper
10.1016/j.nuclphysb.2008.08.030
We investigate the critical behaviour of both matter and geometry of the three-state Potts model coupled to two-dimensional Lorentzian quantum gravity in the framework of causal dynamical triangulations. Contrary to what general arguments of the effects of disorder suggest, we find strong numerical evidence that the critical exponents of the matter are not changed under the influence of quantum fluctuations in the geometry, compared to their values on fixed, regular lattices. This lends further support to previous findings that quantum gravity models based on causal dynamical triangulations are in many ways better behaved than their Euclidean counterparts.
Ambjorn Jan
Anagnostopoulos Konstantinos N.
Loll Renate
Pushkina Irina
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