Fermionic Schwinger-Keldysh Propagators from AdS/CFT

Abstract

The Herzog and Son prescription for computing real-time Green functions for finite temperature gauge theories from their gravity dual is generalized to fermions. These notes explain how such an extension involves properties of spinors in a curved, complexified space-time.

16 pages, 2 figures. v3: refs added, confusing typos fixed, note on sqrt(V,-U) and Dirac eqn added

References in corpus (20)

• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Schwinger-Keldysh Propagators from AdS/CFT Correspondence
• Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma
• Real-time gauge/gravity duality: Prescription, Renormalization and Examples
• Comments on string theory backgrounds with non-relativistic conformal symmetry
• Real-time gauge/gravity duality
• Real-time response in AdS/CFT with application to spinors
• Heating up Galilean holography
• Spinors and the AdS/CFT correspondence
• Momentum fluctuations of heavy quarks in the gauge-string duality
• Transverse Momentum Broadening of a Fast Quark in a $\mathbb{N}=4$ Yang Mills Plasma
• Hot Spacetimes for Cold Atoms
• Thermal Noise and Stochastic Strings in AdS/CFT
• Brownian motion in AdS/CFT
• Real-time gauge/gravity duality and ingoing boundary conditions
• Stochastic trailing string and Langevin dynamics from AdS/CFT
• Heavy quark in an expanding plasma in AdS/CFT

Cited by in corpus (7)

• Fermionic Operator Mixing in Holographic p-wave Superfluids
• Fermion correlators in non-abelian holographic superconductors
• Fermions and the Sch/nrCFT Correspondence
• Holographic KMS relations at finite density
• The holographic spectral function in non-equilibrium states
• Spin 1/2 quasinormal mode frequencies in Schwarzschild-AdS spacetime
• Schwinger-Keldysh path integral formalism for a Quenched Quantum Inverted Oscillator