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New 1/N expansions in random tensor models

Bonzom, Valentin

The journal of high energy physics, 2013-06, Vol.2013 (6), p.1 [Periódico revisado por pares]

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Título:
New 1/N expansions in random tensor models
Autor: Bonzom, Valentin
Assuntos: Classical and Quantum Gravitation ; Elementary Particles ; High energy physics ; Physics ; Physics and Astronomy ; Quantum Field Theories ; Quantum Field Theory ; Quantum Physics ; Relativity Theory ; String Theory
É parte de: The journal of high energy physics, 2013-06, Vol.2013 (6), p.1
Descrição: A bstract Although random tensor models were introduced twenty years ago, it is only in 2011 that Gurau proved the existence of a 1 /N expansion. Here we show that there actually is more than a single 1 /N expansion, depending on the dimension. These new expansions can be used to define tensor models for ‘rectangular’ tensors (whose indices have different sizes). In the large N limit, they retain more than the melonic graphs. Still, in most cases, the large N limit is found to be Gaussian, and therefore extends the scope of the universality theorem for large random tensors. Nevertheless, a scaling which leads to non-Gaussian large N limits, in even dimensions, is identified for the first time.
Editor: Berlin/Heidelberg: Springer-Verlag
Idioma: Espanhol

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