The group approach to AdS space propagators: A fast algorithm
Thorsten Leonhardt, Ruben Manvelyan, Werner Ruhl
TL;DR
This paper introduces a simplified, computationally efficient algorithm for calculating two-point functions in AdS space using Legendre functions, demonstrated on tensor fields up to rank 4.
Contribution
It presents a new, streamlined algorithm for AdS propagator calculations that is easy to implement and improves computational efficiency.
Findings
Algorithm expresses two-point functions as Legendre functions of the second kind.
Successfully applied to symmetric traceless tensor fields up to rank 4.
Facilitates faster and more accessible calculations in AdS/CFT correspondence.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.