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  Phase Transition in Dually Weighted Colored Tensor Models

Benedetti, D., & Gurau, R. (2012). Phase Transition in Dually Weighted Colored Tensor Models. Nuclear Physics B, 855(2), 420-437. doi:10.1016/j.nuclphysb.2011.10.015.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-17BA-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-F824-1
Genre: Journal Article

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1108.5389 (Preprint), 261KB
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 Creators:
Benedetti, Dario1, Author              
Gurau, Razvan, Author
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1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:67201              

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Free keywords: High Energy Physics - Theory, hep-th
 Abstract: Tensor models are a generalization of matrix models (their graphs being dual to higher-dimensional triangulations) and, in their colored version, admit a 1/N expansion and a continuum limit. We introduce a new class of colored tensor models with a modified propagator which allows us to associate weight factors to the faces of the graphs, i.e. to the bones (or hinges) of the triangulation, where curvature is concentrated. They correspond to dynamical triangulations in three and higher dimensions with generalized amplitudes. We solve analytically the leading order in 1/N of the most general model in arbitrary dimensions. We then show that a particular model, corresponding to dynamical triangulations with a non-trivial measure factor, undergoes a third-order phase transition in the continuum characterized by a jump in the susceptibility exponent.

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 Dates: 2011-08-262012-02
 Publication Status: Published in print
 Pages: 17 pages, 4 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1108.5389
DOI: 10.1016/j.nuclphysb.2011.10.015
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Title: Nuclear Physics B
Source Genre: Journal
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Publ. Info: Amsterdam : North-Holland
Pages: - Volume / Issue: 855 (2) Sequence Number: - Start / End Page: 420 - 437 Identifier: ISSN: 0550-3213
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/954925564667