Note on the Noether charge and holographic transports

Fan, Zhong-Ying

doi:10.1103/physrevd.97.066013

Cited by 16 publications

(19 citation statements)

References 80 publications

(187 reference statements)

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“…Here a negative λ is excluded since it introduces an alternative singularity behind the event horizon. Substituting the metric function into (77), we obtain ∆ = 6M , which is the same as the previous solution (78). In fact, they have more similar features:…”

Section: A Special Case: µ = λsupporting

confidence: 59%

“…Substituting the metric function into (77), we find that the action growth rate at late times is ∆ = 6M . Again, the ratio ∆/M is a constant, independent of the higher order coupling µ.…”

Section: Einstein's Gravity Extended With a Single Third Order Lovelomentioning

confidence: 97%

“…where Q is the 2-form Noether charge associated to the vector field ξ. For the general higher order gravities (20), it is given by [77]…”

Section: Growth Rate Of Bulk Actionmentioning

confidence: 99%

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Time dependence of complexity for Lovelock black holes

Fan

Liang

2019

Phys. Rev. D

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We study the general time dependence of complexity for holographic states dual to Lovelock black holes using the "Complexity=Action" (CA) proposal. We observe that at early times, the critical time at which the complexity begins to increase is a decreasing function of the higher order coupling constants, which implies that the complexity evolves faster than that of Schwarzschild black holes. At late times, the rate of change of complexity is essentially determined by the generalised Gibbons-Hawking-York boundary term evaluated at the future singularity. In particular, its ratio to black hole mass is a characteristic constant, independent of the higher order couplings. Thus, in the vanishing coupling limit, the result in general does not reduce to that of Schwarzschild black holes, in spite of that the metric reduces to the latter as well as the gravitational action. In fact, the two differ by a constant during the whole time evolution. Including the next-to-leading order term around late times, we find that as the Einstein case, the late time limit is always approached from above, thus violating any conjectured upper bound given by the late time result. For charged Lovelock black holes, we find that with sufficient charge, the complexity roughly behaves the same as the Einstein case. However, for smaller charges, the two have some significant differences. In particular, unlike the Einstein case, in the uncharged limit the complexity growth rate does not match with the neutral case, differing by a constant in the whole time evolution.

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Section: A Special Case: µ = λsupporting

confidence: 59%

Section: Einstein's Gravity Extended With a Single Third Order Lovelomentioning

confidence: 97%

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Time dependence of complexity for Lovelock black holes

Fan

Liang

2019

Phys. Rev. D

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“…What we need is just a similar equation valid to the Noether charge for gravity sector. It was established in [29] that for general higher derivative gravities L grav = L grav (g µν ; R µνρσ ), one has…”

Section: A New Proposal For Holographic Complexitymentioning

confidence: 99%

Holographic complexity and thermodynamics of AdS black holes

Fan

Guo

2019

Phys. Rev. D

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In this paper, we relate the complexity for a holographic state to a simple gravitational object of which the growth rate at late times is equal to temperature times black hole entropy. We show that if this is correct, the thermodynamics of AdS black holes implies that for generic holographic states dual to static AdS black holes, the complexity growth rate at late times will saturate the Lloyd bound at high temperature limit. In particular, for AdS planar black holes, the result holds at lower temperatures as well. We conjecture that the complexity growth is bounded above as dC/dt ≤ αT S/π or dC/dt ≤ α T + S + − T − S − /π for black holes with an inner horizon, where α is an overall coefficient for our new proposal.The conjecture passes a number of nontrivial tests for black holes in Einstein's gravity.However, we also find that the bound may be violated in the presence of stringy corrections.

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“…[9]. In quantum field theory (QFT), it has been studied, for example: the variation in entanglement entropy in a relativistic scattering involving scalar fields [10] one-loop calculations were done in [11], and the entropy generation of fermions systems in QED processes [12,13], in which the authors studied the mutual information between spin degrees of freedom and properties of the entropy variation under Lorentz transformations. An interesting application related to metabolic PET-imaging (Positron-Emission-Tomograph) is found in Ref.…”

Section: Introductionmentioning

confidence: 99%

Measuring QED cross sections via entanglement

et al. 2019

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We consider a QED scattering (AB → AB), in which B is initially entangled with a third particle (C) that does not participate directly in the scattering. The effect of the scattering over C's final state is evaluated and we note coherence (off-diagonal) terms are created, which lead to non null values for σx and σy that are, in principle, measurable in a Stern-Gerlach apparatus. We chose a particular QED scattering (e + e − → µ + µ − ) and found that σx and σy are proportional to the total cross section (σ total ) of the AB scattering, besides being maximal if BC's initial state is taken as a Bell basis. Furthermore, we calculated the initial and final mutual informations IAC and IBC , and noticed an increase (decrease) in IAC (IBC ), which indicates that, after AB interact, the total amount of correlations (quantum + classical) are distributed among the 3 subsystems.

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Note on the Noether charge and holographic transports

Cited by 16 publications

References 80 publications

Time dependence of complexity for Lovelock black holes

Time dependence of complexity for Lovelock black holes

Holographic complexity and thermodynamics of AdS black holes

Measuring QED cross sections via entanglement

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