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Limitations on Dimensional Regularization in Renyi Entropy

Bao, Ning and He, Temple (2016) Limitations on Dimensional Regularization in Renyi Entropy. . (Submitted)

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Dimensional regularization is a common method used to regulate the UV divergence of field theoretic quantities. When it is used in the context of Renyi entropy, however, it is important to consider whether such a procedure eliminates the statistical interpretation thereof as a measure of entanglement of states living on a Hilbert space. We therefore examine the dimensionally regularized Renyi entropy of a 4d unitary CFT and show that it admits no underlying Hilbert space in the state-counting sense. This gives a concrete proof that dimensionally regularized Renyi entropy cannot always be obtained as a limit of the Renyi entropy of some finite-dimensional quantum system.

Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription Paper
Bao, Ning0000-0002-3296-1039
Additional Information:We would like to thank L. Bianchi, A. Lewkowycz, and S. Solodukhin for useful conversations. We would especially like to thank M. Headrick for reading the preprint and providing useful comments and feedback. N.B. is supported by the DuBridge Postdoctoral Fellowship, and also by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NFS Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-12500028).
Group:UNSPECIFIED, Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
DuBridge Postdoctoral FellowshipUNSPECIFIED
Gordon and Betty Moore FoundationGBMF-12500028
Record Number:CaltechAUTHORS:20160622-112748138
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:68584
Deposited By: Jacquelyn O'Sullivan
Deposited On:27 Jun 2016 16:12
Last Modified:04 Jun 2020 10:14

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