The DOI matches its Crossref record; 57 of the 57 references it cites were found in a registry or an index.
Renormalization group running of the entanglement entropy of a circle
Open accessAbstract
We show, using strong subadditivity and Lorentz covariance, that in three-dimensional space-time the entanglement entropy of a circle is a concave function. This implies the decrease of the coefficient of the area term and the increase of the constant term in the entropy between the ultraviolet and infrared fixed points. This is in accordance with recent holographic $c$ theorems and with conjectures about the renormalization group flow of the partition function of a three sphere ($F$ theorem). The irreversibility of the renormalization group flow in three dimensions would follow from the argument provided there is an intrinsic definition for the constant term in the entropy at fixed points. We discuss the difficulties in generalizing this result for spheres in higher dimensions.
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Cites
Entanglement Entropy and Quantum Field Theory
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Cited by
Quantum entanglement in condensed matter systems
Laflorencie, N. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.06.008 · Cited by 765
The conformal bootstrap: Theory, numerical techniques, and applications
Poland, D., Rychkov, S., & Vichi, A. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015002 · Cited by 760
Quantum Zeno effect and the many-body entanglement transition
Li, Y., Chen, X., & Fisher, M. P. A. (2018) · Physical Review B · doi:10.1103/physrevb.98.205136 · Cited by 707
Scale invariance vs conformal invariance
Nakayama, Y. (2015) · Physics Reports · doi:10.1016/j.physrep.2014.12.003 · Cited by 287
Entanglement entropy: Holography and renormalization group
Nishioka, T. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035007 · Cited by 287
Metadata
- Authors
- Casini, H., & Huerta, M.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2012-06-15
- Volume
- 85
- Issue
- 12
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W1565112435
- Cited by
- 424
- References
- 57
- FWCI
- 16.69
- Type
- journal article
- Language
- en
- Open access
- green
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