CDT coupled to dimer matter: An analytical approach via tree bijections
High Energy Physics - Theory
2013-07-15 v1 General Relativity and Quantum Cosmology
Abstract
We review a recently obtained analytical solution of a restricted so-called hard dimers model coupled to two-dimensional CDT. The combinatorial solution is obtained via bijections of causal triangulations with dimers and decorated trees. We show that the scaling limit of this model can also be obtained from a multi-critical point of the transfer matrix for dynamical triangulations of triangles and squares when one disallows for spatial topology changes to occur.
Keywords
Cite
@article{arxiv.1209.6563,
title = {CDT coupled to dimer matter: An analytical approach via tree bijections},
author = {Max R. Atkin and Stefan Zohren},
journal= {arXiv preprint arXiv:1209.6563},
year = {2013}
}
Comments
6 pages, 4 figures, to appear in the Proceedings of Sixth International School on Field Theory and Gravitation 2012 (Petropolis, Brazil). Contains new results