A modern approach to superradiance
Abstract
In this paper, we provide a simple and modern discussion of rotational superradiance based on quantum field theory. We work with an effective theory valid at scales much larger than the size of the spinning object responsible for superradiance. Within this framework, the probability of absorption by an object at rest completely determines the superradiant amplification rate when that same object is spinning. We first discuss in detail superradiant scattering of spin 0 particles with orbital angular momentum ℓ = 1, and then extend our analysis to higher values of orbital angular momentum and spin. Along the way, we provide a simple derivation of vacuum friction — a ''quantum torque'' acting on spinning objects in empty space. Our results apply not only to black holes but to arbitrary spinning objects. We also discuss superradiant instability due to formation of bound states and, as an illustration, we calculate the instability rate Γ for bound states with massive spin 1 particles. For a black hole with mass M and angular velocity Ω, we find Γ ~ (GMμ)^{7}Ω when the particle’s Compton wavelength 1/μ is much greater than the size GM of the spinning object. This rate is parametrically much larger than themore »
 Authors:

 Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
 Columbia Univ., New York, NY (United States). Center for Theoretical Physics & Inst. for Strings, Cosmology, and Astroparticle Physics, Dept. of Physics; Univ. of Pennsylvania, Philadelphia, PA (United States). Center for Particle Cosmology, Dept. of Physics and Astronomy
 Publication Date:
 Research Org.:
 Columbia Univ., New York, NY (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1393558
 Grant/Contract Number:
 SC0013528; FG0211ER41743
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 5; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Black Holes
Citation Formats
Endlich, Solomon, and Penco, Riccardo. A modern approach to superradiance. United States: N. p., 2017.
Web. doi:10.1007/JHEP05(2017)052.
Endlich, Solomon, & Penco, Riccardo. A modern approach to superradiance. United States. doi:10.1007/JHEP05(2017)052.
Endlich, Solomon, and Penco, Riccardo. Wed .
"A modern approach to superradiance". United States. doi:10.1007/JHEP05(2017)052. https://www.osti.gov/servlets/purl/1393558.
@article{osti_1393558,
title = {A modern approach to superradiance},
author = {Endlich, Solomon and Penco, Riccardo},
abstractNote = {In this paper, we provide a simple and modern discussion of rotational superradiance based on quantum field theory. We work with an effective theory valid at scales much larger than the size of the spinning object responsible for superradiance. Within this framework, the probability of absorption by an object at rest completely determines the superradiant amplification rate when that same object is spinning. We first discuss in detail superradiant scattering of spin 0 particles with orbital angular momentum ℓ = 1, and then extend our analysis to higher values of orbital angular momentum and spin. Along the way, we provide a simple derivation of vacuum friction — a ''quantum torque'' acting on spinning objects in empty space. Our results apply not only to black holes but to arbitrary spinning objects. We also discuss superradiant instability due to formation of bound states and, as an illustration, we calculate the instability rate Γ for bound states with massive spin 1 particles. For a black hole with mass M and angular velocity Ω, we find Γ ~ (GMμ)7Ω when the particle’s Compton wavelength 1/μ is much greater than the size GM of the spinning object. This rate is parametrically much larger than the instability rate for spin 0 particles, which scales like (GM μ)9Ω. This enhanced instability rate can be used to constrain the existence of ultralight particles beyond the Standard Model.},
doi = {10.1007/JHEP05(2017)052},
journal = {Journal of High Energy Physics (Online)},
number = 5,
volume = 2017,
place = {United States},
year = {2017},
month = {5}
}
Web of Science
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Works referencing / citing this record:
Gravitational collider physics
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