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Published March 13, 2013 | public
Journal Article

Does anomalous violation of null energy condition invalidate holographic c-theorem?

Nakayama, Yu

Abstract

Null energy condition plays a crucial role in holographic renormalization group flow, leading to the holographic c-theorem. Unfortunately, the null energy condition is quantum mechanically violated. Even the averaged version can be violated. We discuss how the anomalous violation of the null energy condition affects the holographic renormalization group flow in (1 + 3)-dimensional bulk gravity. We show that despite the violation of the null energy condition, a suitably modified holographic c-function with a peculiar log correction is still monotonically decreasing in so far as we add the counterterm that removes a ghost mode of gravity.

Additional Information

© 2013 Elsevier B.V. Received 22 December 2012; Accepted 11 February 2013; Available online 13 February 2013. The work is supported by Sherman Fairchild Senior Research Fellowship at California Institute of Technology.

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023