Shaken, but not stirred—Potts model coupled to quantum gravity
Copyright policy )Shaken, but not stirred—Potts model coupled to quantum gravity
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.
19 pages, 9 figures
- Utrecht University Netherlands
- Institute for Theoretical Physics Amsterdam Netherlands
- University of Copenhagen Denmark
- University of Copenhagen Denmark
- Niels Bohr Institute Denmark
gravity-matter systems, High Energy Physics - Theory, Monte Carlo numerical calculations, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Monte Carlo methods, General Relativity and Quantum Cosmology (gr-qc), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Quantum field theory on lattices, General Relativity and Quantum Cosmology, Condensed Matter - Other Condensed Matter, High Energy Physics - Lattice, High Energy Physics - Theory (hep-th), International (English), nonperturbative quantum gravity, Quantum equilibrium statistical mechanics (general), Quantization of the gravitational field, causal dynamical triangulations, Other Condensed Matter (cond-mat.other)
gravity-matter systems, High Energy Physics - Theory, Monte Carlo numerical calculations, High Energy Physics - Lattice (hep-lat), FOS: Physical sciences, Monte Carlo methods, General Relativity and Quantum Cosmology (gr-qc), Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Quantum field theory on lattices, General Relativity and Quantum Cosmology, Condensed Matter - Other Condensed Matter, High Energy Physics - Lattice, High Energy Physics - Theory (hep-th), International (English), nonperturbative quantum gravity, Quantum equilibrium statistical mechanics (general), Quantization of the gravitational field, causal dynamical triangulations, Other Condensed Matter (cond-mat.other)
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