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Title: A modern approach to superradiance

Abstract

In this paper, we provide a simple and modern discussion of rotational super-radiance 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 themore » 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.« less

Authors:
 [1];  [2]
  1. Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
  2. 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; FG02-11ER41743
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 1029-8479
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 super-radiance 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}
}

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Cited by: 9 works
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