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Cited by 425

The DOI matches its Crossref record; 53 of the 53 references it cites were found in a registry or an index.

A finite entanglement entropy and the c-theorem

Open access
Casini, H., Huerta, M.·2004·Physics Letters B
DOI 10.1016/j.physletb.2004.08.072
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Abstract

The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a mixed density matrix with nonzero entropy. This is usually called entanglement entropy, and it is known to be divergent in quantum field theory (QFT). However, it is possible to define a finite quantity F(A,B) for two given different subsets A and B which measures the degree of entanglement between their respective degrees of freedom. We show that the function F(A,B) is severely constrained by the Poincaré symmetry and the mathematical properties of the entropy. In particular, for one component sets in two-dimensional conformal field theories its general form is completely determined. Moreover, it allows to prove an alternative entropic version of the c-theorem for (1+1)-dimensional QFT. We propose this well-defined quantity as the meaningfull entanglement entropy and comment on possible applications in QFT and the black hole evaporation problem.

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Metadata

Authors
Casini, H., & Huerta, M.
Venue
Physics Letters B
Publisher
Elsevier BV
Published
2004-10
Volume
600
Issue
1-2
Pages
142-150
ISSN
0370-2693 (ISSN-L)
DOI
10.1016/j.physletb.2004.08.072
OpenAlex
W2032536594
Cited by
425
References
53
FWCI
4.28
Type
journal article
Language
en
Open access
hybrid

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