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Title: Bound states and the classical double copy

Abstract

Here, we extend the perturbative classical double copy to the analysis of bound systems. We first obtain the leading order perturbative gluon radiation field sourced by a system of interacting color charges in arbitrary time dependent orbits, and test its validity by taking relativistic bremsstrahlung and nonrelativistic bound state limits. By generalizing the color to kinematic replacement rules recently used in the context of classical bremsstrahlung, we map the gluon emission amplitude to the radiation fields of dilaton gravity sourced by interacting particles in generic (self-consistent) orbits. As an application, we reproduce the leading post-Newtonian radiation fields and energy flux for point masses in nonrelativistic orbits from the double copy of gauge theory.

Authors:
;
Publication Date:
Research Org.:
California Inst. of Technology (CalTech), Pasadena, CA (United States); Yale Univ., New Haven, CT (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1434975
Alternate Identifier(s):
OSTI ID: 1501450
Grant/Contract Number:  
SC0017660; SC0011632
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 8; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Goldberger, Walter D., and Ridgway, Alexander K. Bound states and the classical double copy. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.085019.
Goldberger, Walter D., & Ridgway, Alexander K. Bound states and the classical double copy. United States. doi:10.1103/PhysRevD.97.085019.
Goldberger, Walter D., and Ridgway, Alexander K. Fri . "Bound states and the classical double copy". United States. doi:10.1103/PhysRevD.97.085019.
@article{osti_1434975,
title = {Bound states and the classical double copy},
author = {Goldberger, Walter D. and Ridgway, Alexander K.},
abstractNote = {Here, we extend the perturbative classical double copy to the analysis of bound systems. We first obtain the leading order perturbative gluon radiation field sourced by a system of interacting color charges in arbitrary time dependent orbits, and test its validity by taking relativistic bremsstrahlung and nonrelativistic bound state limits. By generalizing the color to kinematic replacement rules recently used in the context of classical bremsstrahlung, we map the gluon emission amplitude to the radiation fields of dilaton gravity sourced by interacting particles in generic (self-consistent) orbits. As an application, we reproduce the leading post-Newtonian radiation fields and energy flux for point masses in nonrelativistic orbits from the double copy of gauge theory.},
doi = {10.1103/PhysRevD.97.085019},
journal = {Physical Review D},
number = 8,
volume = 97,
place = {United States},
year = {2018},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.085019

Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1. FIG. 1. : Leading order Feynman diagrams for the perturbative expansion of J̃$^μ_a$(k).

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