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Constraints on renormalization group flows from holographic entanglement entropy

Sera Cremonini1,2 and Xi Dong3

  • 1DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
  • 2George and Cynthia Mitchell Institute for Fundamental Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA
  • 3Stanford Institute for Theoretical Physics, Department of Physics, Stanford University, Stanford, California 94305, USA

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Phys. Rev. D 89, 065041 – Published 28 March, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.065041

Abstract

We examine the RG flow of a candidate c function, extracted from the holographic entanglement entropy of a strip-shaped region, for theories with broken Lorentz invariance. We clarify the conditions on the geometry that lead to a breakdown of monotonic RG flows as is expected for generic Lorentz-violating field theories. Nevertheless we identify a set of simple criteria on the UV behavior of the geometry which guarantee a monotonic c function. Our analysis can thus be used as a guiding principle for the construction of monotonic RG trajectories and can also prove useful for excluding possible IR behaviors of the theory.

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Phys. Rev. D 89, 065041– Published 28 March, 2014
  • Received 20 November 2013

© 2014 American Physical Society

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