Classical Soft Theorem in the AdS-Schwarzschild spacetime in small cosmological constant limit

Arindam Bhattacharjee; Arpita Mitra; Nabamita Banerjee

Classical Soft Theorem in the AdS-Schwarzschild spacetime in small cosmological constant limit

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arxiv 2008.02828 v3 pith:4YM2TXEI submitted 2020-08-06 hep-th gr-qc

Nabamita Banerjee , Arindam Bhattacharjee , Arpita Mitra This is my paper · ORCID

classification hep-thgr-qc

keywords softads-schwarzschildblackclassicalfactorholelimittheorem

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We have studied scattering of a probe particle by a four dimensional AdS-Schwarzschild black hole at large impact factor. Our analysis is consistent perturbatively to leading order in the AdS radius and black hole mass parameter. Next we define a proper "soft limit" of the radiation and extract out the "soft factor" from it. We find the correction to the well known flat space Classical Soft graviton theorem due to the presence of an AdS background.

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Massive vector bulk-to-boundary and bulk-to-bulk propagators and a scalar-exchange four-point amplitude are computed in AdS within 1/R perturbation theory.

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