Sum Rules from an Extra Dimension
arXiv:1010.4806 · doi:10.1007/JHEP01(2011)148
Abstract
Using the gravity side of the AdS/CFT correspondence, we investigate the analytic properties of thermal retarded Green's functions for scalars, conserved currents, the stress tensor, and massless fermions. We provide some results concerning their large and small frequency behavior and their pole structure. From these results, it is straightforward to prove the validity of various sum rules on the field theory side of the duality. We introduce a novel contraction mapping we use to study the large frequency behavior of the Green's functions.
v2: 23 pages (plus appendix), revised presentation, discussion of branch cuts moved to appendix, and some minor changes; v1: 24 pages (plus appendix)
References in corpus (33)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Angle-resolved photoemission spectroscopy of the cuprate superconductors
- Building an AdS/CFT superconductor
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Holographic Superconductors
- From AdS/CFT correspondence to hydrodynamics
- String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
- Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Meson Spectroscopy in AdS/CFT with Flavour
- Universal properties of bulk viscosity near the QCD phase transition
- Holographic Phase Transitions with Fundamental Matter
- Real-time response in AdS/CFT with application to spinors
- Bulk viscosity of QCD matter near the critical temperature
- Holographic spectral functions and diffusion constants for fundamental matter
- Universal hydrodynamics of non-conformal branes
- Hydrodynamics of Holographic Superconductors
- Holographic Operator Mixing and Quasinormal Modes on the Brane
- The gravity dual to a quantum critical point with spontaneous symmetry breaking
- Generalizations of the AdS/CFT correspondence
- Gauge gravity duality for d-wave superconductors: prospects and challenges
- Photoemission "experiments" on holographic superconductors
- AdS black holes and thermal Yang-Mills correlators
- The Bulk Channel in Thermal Gauge Theories
- One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
- Fermion correlators in non-abelian holographic superconductors
- Quasinormal modes of massive charged flavor branes
- Cooper pairing near charged black holes
- The fast life of holographic mesons
- Critical phenomena in N=4 SYM plasma
- Absorption Lengths in the Holographic Plasma
- Holographic quark gluon plasma with flavor
Cited by in corpus (33)
- The thermoelectric properties of inhomogeneous holographic lattices
- General Relativity and the Cuprates
- The dynamics of quantum criticality via Quantum Monte Carlo and holography
- Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
- The quasi-normal modes of quantum criticality
- Holography and ARPES sum-rules
- Optical conductivity of topological surface states with emergent supersymmetry
- Dispersing quasinormal modes in 2+1 dimensional conformal field theories
- Towards a Holographic Realization of Homes' Law
- Quantum critical charge response from higher derivatives: is more different?
- Transport in Chern-Simons-Matter Theories
- Spectral function of the supersymmetry current
- Holographic Conductivity in Disordered Systems
- Minding the Gap in Holographic Models of Interacting Fermions
- Dynamical response near quantum critical points
- Constraining quantum critical dynamics: 2+1D Ising model and beyond
- The Spin of Holographic Electrons at Nonzero Density and Temperature
- Quantum critical response: from conformal perturbation theory to holography
- Viscosity spectral functions of the dilute Fermi gas in kinetic theory
- Low-Energy Theorems from Holography
- Holographic fermions in asymptotically scaling geometries with hyperscaling violation
- Holographic superconductors at zero density
- Analytic AC conductivities from holography
- Schrodinger Fermi Liquids
- Spectral sum rules for conformal field theories in arbitrary dimensions
- Sum rules and three point functions
- Shear sum rules at finite chemical potential
- Duality Constraints on Thermal Spectra of 3d Conformal Field Theories and 4d Quasinormal Modes
- Spectral function and quark diffusion constant in non-critical holographic QCD
- Electric conductivity in non-Hermitian holography
- Duality and four-dimensional black holes: gravitational waves, algebraically special solutions, pole skipping, and the spectral duality relation in holographic thermal CFTs
- Small Treatise on Spin-3/2 Fields and their Dual Spectral Functions
- Conductivity and quasinormal modes in holographic theories