Aging Logarithmic Conformal Field Theory : a holographic view
arXiv:1209.2417 · doi:10.1007/JHEP01(2013)141
Abstract
We consider logarithmic extensions of the correlation and response functions of scalar operators for the systems with aging as well as Schrödinger symmetry. Aging is known to be the simplest nonequilibrium phenomena, and its physical significances can be understood by the two-time correlation and response functions. Their logarithmic part is completely fixed by the bulk geometry in terms of the conformal weight of the dual operator and the dual particle number. Motivated by recent experimental realizations of Kardar-Parisi-Zhang universality class in growth phenomena and its subsequent theoretical extension to aging, we investigate our two-time correlation functions out of equilibrium, which show several qualitatively different behaviors depending on the parameters in our theory. They exhibit either growing or aging, i.e. power-law decaying, behaviors for the entire range of our scaling time. Surprisingly, for some parameter ranges, they exhibit growing at early times as well as aging at later times.
1+26 pages, 15 figures
References in corpus (47)
- Large N Field Theories, String Theory and Gravity
- Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Universal Fluctuations of Growing Interfaces: Evidence in Turbulent Liquid Crystals
- Comments on string theory backgrounds with non-relativistic conformal symmetry
- Growing interfaces uncover universal fluctuations behind scale invariance
- Heating up Galilean holography
- Bits and Pieces in Logarithmic Conformal Field Theory
- Critical Gravity in Four Dimensions
- Instability in cosmological topologically massive gravity at the chiral point
- Hot Spacetimes for Cold Atoms
- Einstein Gravity from Conformal Gravity
- An algebraic approach to logarithmic conformal field theory
- Topologically Massive Gravity and the AdS/CFT Correspondence
- Critical Points of D-Dimensional Extended Gravities
- On the spectrum of nonrelativistic AdS/CFT
- Asymptotically anti-de Sitter spacetimes in topologically massive gravity
- Conformal Gravity and Extensions of Critical Gravity
- AdS_3/LCFT_2 - Correlators in New Massive Gravity
- Black strings in asymptotically plane wave geometries
- Twisted Backgrounds, PP-Waves and Nonlocal Field Theories
- AdS/CFT duality for non-relativistic field theory
- D-Dimensional Log Gravity
- AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
- Logarithmic conformal field theories and AdS correspondence
- Singletons and Logarithmic CFT in ADS/CFT correspondence
- Thermodynamics of Black Holes in Schroedinger Space
- Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610
- Holographic Renormalization of New Massive Gravity
- Schrödinger Holography with and without Hyperscaling Violation
- Phenomenology of ageing in the Kardar-Parisi-Zhang equation
- Ghosts of Critical Gravity
- Holographic quantum criticality and strange metal transport
- Holographic two-point functions for 4d log-gravity
- Gauge bosons and the AdS_3/LCFT_2 correspondence
- Three-Dimensional Tricritical Gravity
- Holographic Flavor Transport in Schroedinger Spacetime
- On logarithmic extensions of local scale-invariance
- Aging and Holography
- Noncritical Einstein-Weyl Gravity and the AdS/CFT Correspondence
- Universal time-dependent deformations of Schrodinger geometry
- Properties of Schroedinger Black Holes from AdS Space
- A Non-relativistic Logarithmic Conformal Field Theory from a Holographic Point of View
- On Classical Equivalence Between Noncritical and Einstein Gravity : The AdS/CFT Perspectives
- Finite Temperature Aging Holography
Cited by in corpus (8)
- Holographic applications of logarithmic conformal field theories
- On logarithmic extensions of local scale-invariance
- Dynamical symmetries and causality in non-equilibrium phase transitions
- On non-local representations of the ageing algebra
- Hyperscaling violation : a unified frame for effective holographic theories
- Causality from dynamical symmetry: an example from local scale-invariance
- Logarithmic correlators or responses in non-relativistic analogues of conformal invariance
- Aging Logarithmic Galilean Field Theories