CDT coupled to dimer matter: An analytical approach via tree bijections - INSPIRE

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CDT coupled to dimer matter: An analytical approach via tree bijections

Sep 24, 2012

6 pages

Part of Proceedings, 6th International School on Field Theory and Gravitation (ISFTG 2012) : Petropolis, Rio de Janeiro, Brazil, April 23-27, 2012, 330-335

Published in:

AIP Conf.Proc. 1483 (2012) 1, 330-335

Contribution to:

- ISFTG 2012
, 330-335

Published: Sep 24, 2012

e-Print:

1209.6563 [hep-th]

DOI:

10.1063/1.4756977

View in:

ADS Abstract Service

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Abstract: (arXiv)

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.

Note:

6 pages, 4 figures, to appear in the Proceedings of Sixth International School on Field Theory and Gravitation 2012 (Petropolis, Brazil). Contains new results

04.60.Gw
04.60.Nc
04.60.Kz
Causal dynamical triangulations (CDT)
tree bijections
hard dimer model
talk
topology: transition
dimension: 2
triangulation

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