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The effect of resummation on retarded Green's function and greybody factor in $AdS$ black holes

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arxiv 2409.07370 v1 pith:TFYZS6X5 submitted 2024-09-11 hep-th gr-qc

classification hep-thgr-qc
keywords functionfactorgreengreybodyretardedasymptoticblackexpansions
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abstract

We investigate the retarded Green's function and the greybody factor in asymptotically AdS black holes. Using the connection coefficients of the Heun equation, expressed in terms of the Nekrasov-Shatashvili (NS) free energy of an $SU(2)$ supersymmetric gauge theory with four fundamental hypermultiplets, we derive asymptotic expansions for both the retarded Green's function and the greybody factor in the small horizon limit. Furthermore, we compute the corrections to these asymptotic expansions resulting from the resummation procedure of the instanton part of the NS function.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions

    gr-qc 2025-01 conditional novelty 7.0 of 10

    A new hypergeometric representation of the confluent Heun equation resums infinite PM/PN correction series and yields the circular-orbit energy flux to 30PN order, matching independent numerical black-hole perturbatio...

  2. Holographic thermal correlators from recursions

    hep-th 2024-12 conditional novelty 6.0 of 10

    Holographic thermal correlators and quasinormal modes for two charged AdS5 black holes are expressed through a recurrence-based connection formula for the Heun equation, validated to high numerical precision.

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