Entropy discrepancy and total derivatives in trace anomaly
High Energy Physics - Theory
2015-10-15 v3 General Relativity and Quantum Cosmology
Abstract
In this note we address the discrepancy found by Hung, Myers and Smolkin between the holographic calculation of entanglement entropy (using the Jacobson-Myers functional for the holographic minimal surface) and the CFT trace anomaly calculation if one uses the Wald prescription to compute the entropy in six dimensions. As anticipated in our previous work [1] the discrepancy originates entirely from a total derivative term present in the trace anomaly in six dimensions.
Cite
@article{arxiv.1412.0452,
title = {Entropy discrepancy and total derivatives in trace anomaly},
author = {Amin Faraji Astaneh and Alexander Patrushev and Sergey N. Solodukhin},
journal= {arXiv preprint arXiv:1412.0452},
year = {2015}
}
Comments
13 pages, v2: expanded version with complete treatment of Wald entropy, discrepancy and the total entropy for any terms in conformal anomaly, conclusions unchanged; v3: a remark on work of Huang and Miao added, version to appear in PLB