The Hadamard function and the Feynman propagator in the AdS/CFT correspondence

Ryang, Shijong

doi:10.1016/s0370-2693(99)01260-5

Cited by 6 publications

(4 citation statements)

References 23 publications

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“…Previous discussion of the Lorentzian signature AdS/CFT appears also in refs. [6,7,8,9]. One boundary condition at the horizon stands out from the physical point of view.…”

Section: Minkowski Ads/cft Prescription 31 Difficulties With Minkowsmentioning

confidence: 99%

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications

Son

Starinets

2002

J. High Energy Phys.

1,156

1,902

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We formulate a prescription for computing Minkowski-space correlators from AdS/CFT correspondence. This prescription is shown to give the correct retarded propagators at zero temperature in four dimensions, as well as at finite temperature in the two-dimensional conformal field theory dual to the BTZ black hole. Using the prescription, we calculate the Chern-Simons diffusion constant of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the strong coupling limit. We explain why the quasinormal frequencies of the asymptotically AdS background correspond to the poles of the retarded Green's function of the boundary conformal field theory.

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“…Previous discussion of the Lorentzian signature AdS/CFT appears also in refs. [6,7,8,9]. One boundary condition at the horizon stands out from the physical point of view.…”

Section: Minkowski Ads/cft Prescription 31 Difficulties With Minkowsmentioning

confidence: 99%

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications

Son

Starinets

2002

J. High Energy Phys.

1,156

1,902

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“…Research issues important for various applications of Feynman propagators were discussed in [46]. Note that this paper is among one of the first on that subject.…”

Section: Further Development Of the Approachmentioning

confidence: 99%

Quick introduction into AdS/CFT correspondence in physics of strongly correlated systems

Белоненко¹,

Konobeeva²,

Galkina³

2016

Nanosystems: Phys. Chem. Math.

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“…In this section we take a first look at the computation of the bulk Feynman, retarded and advanced propagators (see also [25] [26]). We concentrate on quantizing the modes Φ ∝ J ν proportional to the Bessel function with positive index ν ≥ 1.…”

Section: Bulk Propagatormentioning

confidence: 99%

On time-dependent AdS/CFT

Satoh¹,

Troost²

2003

J. High Energy Phys.

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We clarify aspects of the holographic AdS/CFT correspondence that are typical of Lorentzian signature, to lay the foundation for a treatment of time-dependent gravity and conformal field theory phenomena. We provide a derivation of bulk-to-boundary propagators associated to advanced, retarded and Feynman bulk propagators, and provide a better understanding of the boundary conditions satisfied by the bulk fields at the horizon. We interpret the subleading behavior of the wavefunctions in terms of specific vacuum expectation values, and compute two-point functions in our framework. We connect our bulk methods to the closed time path formalism in the boundary field theory.

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The Hadamard function and the Feynman propagator in the AdS/CFT correspondence

Cited by 6 publications

References 23 publications

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications

Quick introduction into AdS/CFT correspondence in physics of strongly correlated systems

On time-dependent AdS/CFT

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