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

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.

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Publisher copy:
10.1063/1.4756977

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics
Journal:
AIP Conf.Proc.
Volume:
1483
Pages:
330-335
Publication date:
2012-09-28
DOI:
EISSN:
1551-7616
ISSN:
0094-243X
URN:
uuid:ac6a453c-bd94-44cb-a548-93a33b53b511
Source identifiers:
353975
Local pid:
pubs:353975
Language:
English
Keywords:

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