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The group approach to AdS space propagators: A fast algorithm
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In this letter we show how the method of [4] for the calculation of two-point functions in d+1-dimensional AdS space can be simplified. This results in an algorithm for the evaluation of the two-point functions as linear combinations of Legendre functions of the second kind. This algorithm can be easily implemented on a computer. For the sake of illustration, we displayed the results for the case of symmetric traceless tensor fields with rank up to l=4.
Forward citations
Cited by 2 Pith papers
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Bulk-to-bulk photon propagator in AdS
The bulk-to-bulk photon propagator in Euclidean AdS is derived in axial, Coulomb and covariant gauges, with the simplest position-space form in the Fried–Yennie gauge ξ=d/(d−2).
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Chern-Simons propagators in AdS$_3$
New parity-odd AdS3 spin-1 harmonics and the Chern-Simons operator relating them to parity-even ones yield explicit spectral and split representations for abelian Chern-Simons propagators.
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