Microcausality and positivity constrain Green's functions to be analytic in the forward light-cone with Im(ω G) > 0 in the complex domain for translation-invariant but Lorentz-breaking systems, implying integral constraints and analytic ε(ω,k), μ^{-1}(ω,k).
Many-body chaos and energy dynamics in holography
10 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Recent developments have indicated that in addition to out-of-time ordered correlation functions (OTOCs), quantum chaos also has a sharp manifestation in the thermal energy density two-point functions, at least for maximally chaotic systems. The manifestation, referred to as pole-skipping, concerns the analytic behaviour of energy density two-point functions around a special point $\omega = i \lambda$, $k = i \lambda/v_B$ in the complex frequency and momentum plane. Here $\lambda$ and $v_B$ are the Lyapunov exponent and butterfly velocity characterising quantum chaos. In this paper we provide an argument that the phenomenon of pole-skipping is universal for general finite temperature systems dual to Einstein gravity coupled to matter. In doing so we uncover a surprising universal feature of the linearised Einstein equations around a static black hole geometry. We also study analytically a holographic axion model where all of the features of our general argument as well as the pole-skipping phenomenon can be verified in detail.
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Normal mode analysis of the relativistic Boltzmann equation for massive particles reveals coupling between sound and heat channels, mass-dependent critical wavenumbers, and an infinite branch cut for Landau damping.
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
A new prescription computes the dissipative action for holographic hydrodynamics in AdS4 to first order in derivatives and reproduces known Green's functions via horizon diffeomorphisms.
Derives a cavity thermal product formula relating bouncing geodesic singularities in the retarded Green's function to the quasinormal mode spectrum for Schwarzschild and Schwarzschild-de Sitter black holes inside a reflecting cavity.
Kerr QNM anomalies near algebraically special frequencies arise from avoided crossings with resonant excitation and pole skipping due to quasinormal-Matsubara pole-zero cancellations.
In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.
Brick-wall spectra in de Sitter space show long-range chaotic signatures via spectral form factor and Krylov complexity even when conventional level repulsion is absent.
Holographic U(1)V x U(1)A Maxwell-Chern-Simons theory in Schwarzschild-AdS5 yields thirteen momentum- and B-field-dependent transport coefficient functions for chiral plasma currents, applied to negative magnetoresistance and chiral magnetic waves beyond hydrodynamics.
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
citing papers explorer
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Analyticity and positivity of Green's functions without Lorentz
Microcausality and positivity constrain Green's functions to be analytic in the forward light-cone with Im(ω G) > 0 in the complex domain for translation-invariant but Lorentz-breaking systems, implying integral constraints and analytic ε(ω,k), μ^{-1}(ω,k).
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Normal mode analysis within relativistic massive transport
Normal mode analysis of the relativistic Boltzmann equation for massive particles reveals coupling between sound and heat channels, mass-dependent critical wavenumbers, and an infinite branch cut for Landau damping.
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Probing bulk geometry via pole skipping: from static to rotating spacetimes
Pole-skipping data encodes enough information to reconstruct the full metric of 3D rotating black holes and the radial functions of 4D separable rotating black holes, with Einstein equations becoming algebraic constraints on that data.
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Dissipative hydrodynamic actions and horizon symmetries in gravity
A new prescription computes the dissipative action for holographic hydrodynamics in AdS4 to first order in derivatives and reproduces known Green's functions via horizon diffeomorphisms.
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Bouncing Geodesics, Singularities, and the Cavity Thermal Product Formula in Asymptotically Flat and de Sitter Black Holes
Derives a cavity thermal product formula relating bouncing geodesic singularities in the retarded Green's function to the quasinormal mode spectrum for Schwarzschild and Schwarzschild-de Sitter black holes inside a reflecting cavity.
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Pole Skipping, Avoided Crossing, and Resonant Excitation in Kerr Quasinormal Modes near Algebraically Special Frequencies
Kerr QNM anomalies near algebraically special frequencies arise from avoided crossings with resonant excitation and pole skipping due to quasinormal-Matsubara pole-zero cancellations.
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Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$
In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.
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Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons
Brick-wall spectra in de Sitter space show long-range chaotic signatures via spectral form factor and Krylov complexity even when conventional level repulsion is absent.
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Chiral Plasma under Strong Magnetic Fields: A Holographic Analysis of Transport Phenomena
Holographic U(1)V x U(1)A Maxwell-Chern-Simons theory in Schwarzschild-AdS5 yields thirteen momentum- and B-field-dependent transport coefficient functions for chiral plasma currents, applied to negative magnetoresistance and chiral magnetic waves beyond hydrodynamics.
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Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.