Abstract
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.
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ArXiv ePrint: 1211.1657
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Bonzom, V. New 1/N expansions in random tensor models. J. High Energ. Phys. 2013, 62 (2013). https://doi.org/10.1007/JHEP06(2013)062
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DOI: https://doi.org/10.1007/JHEP06(2013)062