Compton Amplitude for Rotating Black Hole from QFT

Fuente: arXiv
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Main Authors: Cangemi, Lucile, Chiodaroli, Marco, Johansson, Henrik, Ochirov, Alexander, Pichini, Paolo, Skvortsov, Evgeny
Format: Preprint
Published: 2023
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author Cangemi, Lucile
Chiodaroli, Marco
Johansson, Henrik
Ochirov, Alexander
Pichini, Paolo
Skvortsov, Evgeny
author_facet Cangemi, Lucile
Chiodaroli, Marco
Johansson, Henrik
Ochirov, Alexander
Pichini, Paolo
Skvortsov, Evgeny
contents We construct a candidate tree-level gravitational Compton amplitude for a rotating Kerr black hole, for any quantum spin s=0,1/2,1,...,$\infty$, from which we extract the corresponding classical amplitude to all orders in the spin vector $S^μ$. We use multiple insights from massive higher-spin quantum field theory, such as massive gauge invariance and improved behavior in the massless limit. A chiral-field approach is particularly helpful in ensuring correct degrees of freedom, and for writing down compact off-shell interactions for general spin. The simplicity of the interactions is echoed in the structure of the spin-s Compton amplitude, for which we use homogeneous symmetric polynomials of the spin variables. Where possible, we compare to the general-relativity results in the literature, available up to eighth order in spin.
format Preprint
id arxiv_https___arxiv_org_abs_2312_14913
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Compton Amplitude for Rotating Black Hole from QFT
Cangemi, Lucile
Chiodaroli, Marco
Johansson, Henrik
Ochirov, Alexander
Pichini, Paolo
Skvortsov, Evgeny
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We construct a candidate tree-level gravitational Compton amplitude for a rotating Kerr black hole, for any quantum spin s=0,1/2,1,...,$\infty$, from which we extract the corresponding classical amplitude to all orders in the spin vector $S^μ$. We use multiple insights from massive higher-spin quantum field theory, such as massive gauge invariance and improved behavior in the massless limit. A chiral-field approach is particularly helpful in ensuring correct degrees of freedom, and for writing down compact off-shell interactions for general spin. The simplicity of the interactions is echoed in the structure of the spin-s Compton amplitude, for which we use homogeneous symmetric polynomials of the spin variables. Where possible, we compare to the general-relativity results in the literature, available up to eighth order in spin.
title Compton Amplitude for Rotating Black Hole from QFT
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2312.14913