Generalized entropy and higher derivative gravity
By J. Camps. 2013
283 citations recorded by the source corpus.
A bstractWe derive an extension of the Ryu-Takayanagi prescription for curvature squared theories of gravity in the bulk, and comment on a prescription for more general theories. This results in a new entangling functional, that contains a correction to Wald’s entropy. The new term is quadratic in the extrinsic curvature. The coefficient of this correction is a second derivative of the lagrangian with respect to the Riemann tensor. For Gauss-Bonnet gravity, the new functional reduces to Jacobson-Myers’.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9423711c9e711a2495f5e3619bed542fc5355495
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- On entanglement spreading in chaotic systems (2016, background): “J H E P 0 5 ( 2 0 1 7 ) 0 6 5 derivative theories (see also [42]), but the equation of motion satisfied by the RT surface has up to now only been shown to follow from this area function in four derivative and Lovelock theories (see [43] for further discussion on the equation of motion).”
- The Ryu–Takayanagi Formula from Quantum Error Correction (2016, background): “Here LA denotes a particular local operator in the bulk integrated over γA: at leading order in Newton’s constant G we have LA = Area(γA) 4G , while at higher orders, both in G but also in other couplings such as α′, there are corrections to LA involving various intrisic and extrinsic quantities int”
- Causality & holographic entanglement entropy (2014, background): “When the higher-derivative operators are unsuppressed we have little to say for two reasons: (a) the holographic entanglement prescription so far is only given for static situations (or with time reversal symmetry) [43, 44] and (b) even assuming the covariant generalizations, one is stymied by the a”
- Gravitation from entanglement in holographic CFTs (2013, background): “In general, the entanglement entropy functional is known to differ from the Wald functional [21, 23] by terms quadratic in the extrinsic curvature of the extremal bulk surface.”
- Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime (2014, background): “8The entropy formulae in more restricted cases are given by [31, 36, 37, 38, 39].”
- Geometric entropy and edge modes of the electromagnetic field (2015, methodology): “This ambiguity was recently resolved for the case of classical higher derivative gravity [28, 29] and when applied to the case of classical Maxwell theory, this refinement of Wald’s formula gives zero [26, 30].”
- Deriving covariant holographic entanglement (2016, methodology): “For simplicity we will consider Einstein-Hilbert gravity here; generalizations to other classical gravitational theories follow along the lines of [23, 24].”
- Entropy, extremality, euclidean variations, and the equations of motion (2017, methodology): “7) and can be computed using the conical method of [12, 13, 31] or directly using the n → 1 limit of the Wald entropy (see Section 2.”