Abstract
In this paper we introduce a simple field theoretic version of the Carrozza–Tanasa–Klebanov–Tarnopolsky (CTKT) “uncolored” holographic tensor model. It gives a more familiar interpretation to the previously abstract modes of the SYK or CTKT models in terms of momenta. We choose for the tensor propagator the usual Fermionic propagator of condensed matter, with a spherical Fermi surface, but keep the CTKT interactions. Hence, our field theory can also be considered as an ordinary condensed matter model with a non-local and non-rotational invariant interaction. Using a multi-scale analysis, we prove that this field theory is just renormalizable to all orders of perturbation theory in the ultraviolet regime.
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Acknowledgements
V. Rivasseau thanks N. Delporte, F. Ferrari, R. Gurau and G. Valette for useful discussions.
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Communicated by Abdelmalek Abdesselam.
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Ben Geloun, J., Rivasseau, V. A Renormalizable SYK-Type Tensor Field Theory. Ann. Henri Poincaré 19, 3357–3395 (2018). https://doi.org/10.1007/s00023-018-0712-4
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DOI: https://doi.org/10.1007/s00023-018-0712-4