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arXiv · 1902.09965

Renormalization Group Flows in Non-Relativistic Holographic Effective Field Theories

Georgios M. Koutentakis
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Abstract

We develop a formalism with two different UV cutoff scales, one for space and one for time, appropriate for the richer structure of non-Lorentz invariant quantum field theories. In this formalism there are two different beta-functions for each coupling constant, arising from independent variations of the energy or momentum cutoffs. For holographic non-relativistic theories with rotational invariance, we develop the technique to calculate such beta-functions using a generalization of the superpotential formalism developed in [JHEP ${\bf 1208}$, 164 (2012)]. We then proceed and compute the beta-function around a Lifshitz critical point, as well as for general Lifshitz-invariant theories with hyperscaling violation. Finally, we do a similar computation in a weakly-coupled Lifshitz invariant QFT.

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Georgios M. Koutentakis. 2019-02-24. Renormalization Group Flows in Non-Relativistic Holographic Effective Field Theories. https://arxiv.org/abs/1902.09965

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