Renormalization Group Flows in Non-Relativistic Holographic Effective Field Theories

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 $1208$, 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.

67 pages, LateX. Master's thesis

References in corpus (8)

• Non-relativistic holography
• Improved Holographic QCD
• Lifshitz Gravity for Lifshitz Holography
• Holographic Metals and Insulators with Helical Symmetry
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Dynamics at and near conformal quantum critical points
• Recent Results in AdS/QCD
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