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.

arXiv comment67 pages, LateX. Master's thesis

References in corpus (30)

• Large N Field Theories, String Theory and Gravity
• The World as a Hologram
• The Holographic Weyl anomaly
• Lecture Notes on Holographic Renormalization
• Charged AdS Black Holes and Catastrophic Holography
• Gravity Duals of Lifshitz-like Fixed Points
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• A healthy extension of Horava gravity
• Wormholes in AdS
• Non-relativistic holography
• Aspects of holography for theories with hyperscaling violation
• General Covariance in Quantum Gravity at a Lifshitz Point
• Improved Holographic QCD
• Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
• Lifshitz Gravity for Lifshitz Holography
• Holographic Metals and Insulators with Helical Symmetry
• Newton-Cartan Geometry and the Quantum Hall Effect
• On Horava-Lifshitz "Black Holes"
• Magnetic-Torque Evidence for the Fulde-Ferrell-Larkin-Ovchinnikov State for In-Plane Magnetic Fields in the Organic Superconductor k-(BEDT-TTF)2Cu(NCS)2
• Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
• Einstein-Maxwell-Dilaton theories with a Liouville potential
• Non-relativistic holography from Horava gravity
• Dynamics at and near conformal quantum critical points
• Holographic superfluid/fluid/insulator phase transitions in 2+1 dimensions
• Holographic Renormalization for z=2 Lifshitz Space-Times from AdS
• FFLO strange metal and quantum criticality in two dimensions: theory and application to organic superconductors
• Introduction to the AdS/CFT correspondence
• Derivative interactions for a spin-2 field at cubic order
• Recent Results in AdS/QCD
• Magnetic Critical Solutions in Holography