Holographic KMS relations at finite density

Self Cite

190

Planar black holes in AdS have long-lived quasinormal modes which capture the physics of charge and momentum diffusion in the dual field theory. How should we characterize the effective dynamics of a probe system coupled to the conserved currents of the dual field theory? Specifically, how would such a probe record the long-lived memory of the black hole and its Hawking fluctuations? We address this question by exhibiting a universal gauge invariant framework which captures the physics of stochastic diffusion in holography: a designer scalar with a gravitational coupling governed by a single parameter, the Markovianity index. We argue that the physics of gauge and gravitational perturbations of a planar Schwarzschild-AdS black hole can be efficiently captured by such designer scalars. We demonstrate that this framework allows one to decouple, at the quadratic order, the long-lived quasinormal and Hawking modes from the short-lived ones. It furthermore provides a template for analyzing fluctuating open quantum field theories with memory. In particular, we use this set-up to analyze the diffusive Hawking photons and gravitons about a planar Schwarzschild-AdS black hole and derive the quadratic effective action that governs fluctuating hydrodynamics of the dual CFT. Along the way we also derive results relevant for probes of hyperscaling violating backgrounds at finite temperature.

“…(6.20) 24 We will see in subsequent sections that these coefficients coincide with those for the Einstein-Hilbert action (with standard Dirichlet boundary conditions) in the special case…”

Section: Jhep05(2021)130mentioning

confidence: 74%

“…In deriving the above we have used the asymptotic behaviour obtained in (A.23) and (A. 24). This can also be directly obtained from direct differentiation of (6.4).…”

Section: Jhep05(2021)130mentioning

confidence: 99%

See 1 more Smart Citation

Effective field theory of stochastic diffusion from gravity

Ghosh

Loganayagam

Prabhu

et al. 2021

Self Cite

190

“…Computing the bulk on-shell action they obtain the influence phase (the effect of integrating out the bath degrees of freedom on the probe action) of the probe fermion in a derivative expansion. In [31] the authors extend this analysis to charged fermions probing Reissner-Nordström black hole background.…”

Section: Jhep08(2021)169mentioning

confidence: 99%

Open effective theory of scalar field in rotating plasma

Chakrabarty

Aswin

2021

We study the effective dynamics of an open scalar field interacting with a strongly-coupled two-dimensional rotating CFT plasma. The effective theory is determined by the real-time correlation functions of the thermal plasma. We employ holographic Schwinger-Keldysh path integral techniques to compute the effective theory. The quadratic effective theory computed using holography leads to the linear Langevin dynamics with rotation. The noise and dissipation terms in this equation get related by the fluctuation-dissipation relation in presence of chemical potential due to angular momentum. We further compute higher order terms in the effective theory of the open scalar field. At quartic order, we explicitly compute the coefficient functions that appear in front of various terms in the effective action in the limit when the background plasma is slowly rotating. The higher order effective theory has a description in terms of the non-linear Langevin equation with non-Gaussianity in the thermal noise.

“…Within this prescription, the holographic (radial) coordinate is complexified and analytically continued around the event horizon, forming a doubled Schwarzschild-AdS black hole with two conformal boundaries. In the past two years, this prescription was used to derive effective action for simple holographic systems [43][44][45][46][47][48][49], which essentially involves solving linear EOMs in doubled Schwarzschild-AdS geometry.…”

Section: Jhep09(2021)168mentioning

confidence: 99%

Ginzburg-Landau effective action for a fluctuating holographic superconductor

Fujita

Lin

2021

Under holographic prescription for Schwinger-Keldysh closed time contour for non-equilibrium system, we consider fluctuation effect of the order parameter in a holographic superconductor model. Near the critical point, we derive the time-dependent Ginzburg-Landau effective action governing dynamics of the fluctuating order parameter. In a semi-analytical approach, the time-dependent Ginzburg-Landau action is computed up to quartic order of the fluctuating order parameter, and first order in time derivative.