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Boundary Fluctuations and A Reduction Entropy

Oct 27, 2016

6 pages

Published in:

Phys.Rev.D 95 (2017) 2, 021901

Published: Jan 3, 2017

e-Print:

1610.08970 [hep-th]

DOI:

10.1103/PhysRevD.95.021901

View in:

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Abstract: (APS)

The boundary Weyl anomalies live on a codimension-1 boundary, ∂M. The entanglement entropy originates from infinite correlations on both sides of a codimension-2 surface, Σ. Motivated to have a further understanding of the boundary effects, we introduce a notion of reduction entropy, which, guided by thermodynamics, is a combination of the boundary effective action and the boundary stress tensor defined by allowing the metric on ∂M to fluctuate. We discuss how a reduction might be performed so that the reduction entropy reproduces the entanglement structure.

Note:

5+1 pages, 1 figure; v2: Improved discussion on a-type variation, conjecture RE=EE formulated to be independent of BCs imposed on matter fields, to appear in PRD Rapid Communications

entropy: entanglement
anomaly: Weyl
fluctuation
effective action
thermodynamics
correlation
surface

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Figures(0)

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