Multi-critical behaviour of 4-dimensional tensor models up to order 6

Lionni, Luca (Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris XI, Orsay Cedex, 91405, France) (LIPN, UMR CNRS 7030, Institut Galilée, Université Paris 13, Sorbonne Paris Cité, 99, avenue Jean-Baptiste Clément, Villetaneuse, 93430, France) ; Thürigen, Johannes (Departments of Physics and Mathematics, Humboldt University, Unter den Linden 6, Berlin, D-10099, Germany) (Laboratoire de Physique Théorique, CNRS UMR 8627, Université Paris XI, Orsay Cedex, 91405, France)

05 March 2019

Abstract: Tensor models generalize the matrix-model approach to 2-dimensional quantum gravity to higher dimensions. Some models allowing a 1/N expansion have been explored, most of them generating branched-polymer geometries. Recently, enhancements yielding an additional 2d pure gravity (planar) phase and an intermediate regime of proliferating baby universes have been found. It remains an open issue to find models escaping these lower-dimensionality universality classes.


Published in: Nuclear Physics B 941 (2019) 600-635
Published by: Elsevier
DOI: 10.1016/j.nuclphysb.2019.02.026
License: CC-BY-3.0



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