Abstract
This contribution reviews some recent results on dimers coupled to CDT. A bijective mapping between dimers and tree-like graphs allows for a simple way to introduce dimers to CDT. This can be generalized further to obtain different multicritical points.
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References
Ambjørn, J., Loll, R.: Non-perturbative Lorentzian quantum gravity, causality and topology change. Nucl. Phys. B 536, 407 (1998). doi:10.1016/S0550-3213(98)00692-0
Ambjørn, J., Görlich, A., Jurkiewicz, J., Loll, R.: Nonperturbative quantum gravity. Phys. Rep. 519, 127 (2012). doi:10.1016/j.physrep.2012.03.007
Kazakov, V.: The appearance of matter fields from quantum fluctuations of 2d-gravity. Mod. Phys. Lett. A 04, 2125 (1989). doi:10.1142/S0217732389002392
Staudacher, M.: The Yang-Lee edge singularity on a dynamical planar random surface. Nucl. Phys. B 336, 349 (1990). doi:10.1016/0550-3213(90)90432-D
Ambjørn, J., Glaser, L., Görlich, A., Sato, Y.: New multicritical matrix models and multicritical 2d CDT. Phys. Lett. B 712(1–2), 109 (2012). doi:10.1016/j.physletb.2012.04.047
Atkin, M.R., Zohren, S.: An analytical analysis of CDT coupled to dimer-like matter. Phys. Lett. B 712, 445 (2012). doi:10.1016/j.physletb.2012.05.017
Atkin, M., Zohren, S.: On the quantum geometry of multi-critical CDT. J. High Energy Phys. 2012(11), 037 (2012). doi:10.1007/JHEP11(2012)037
Durhuus, B., Jonsson, T., Wheater, J.: On the spectral dimension of causal triangulations. J. Stat. Phys. 139(5), 859 (2009). doi:10.1007/s10955-010-9968-x
Ambjørn, J., Durhuus, B., Jonsson, T.: Quantum Geometry: A Statistical Field Theory Approach. Cambridge Monographs on Mathematical Physics. Cambridge University Press, Cambridge (1997)
Glaser, L.: Coupling dimers to CDT. In: Rosquist, K., Jantzen, R., Ruffini, R. (eds.) Thirteenth Marcel Grossman Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories. World Scientific, Singapore (2013)
Acknowledgments
I would like to thank the Danish Research Council for financial support via the grant “Quantum gravity and the role of Black holes”.
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Glaser, L. (2014). Coupling Dimers to CDT to Obtain Higher Order Multicritical Behavior. In: Bičák, J., Ledvinka, T. (eds) Relativity and Gravitation. Springer Proceedings in Physics, vol 157. Springer, Cham. https://doi.org/10.1007/978-3-319-06761-2_81
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DOI: https://doi.org/10.1007/978-3-319-06761-2_81
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