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Title: Spinning particles, axion radiation, and the classical double copy

Abstract

We extend the perturbative double copy between radiating classical sources in gauge theory and gravity to the case of spinning particles. We construct, to linear order in spins, perturbative radiating solutions to the classical Yang-Mills equations sourced by a set of interacting color charges with chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement rule proposed earlier by one of the authors, these solutions map onto radiation in a theory of interacting particles coupled to massless fields that include the graviton, a scalar (dilaton) Φ and the Kalb-Ramond axion field B μν. Consistency of the double copy imposes constraints on the parameters of the theory on both the gauge and gravity sides of the correspondence. In particular, the color charges carry a chromomagnetic interaction which, in d = 4, corresponds to a gyromagnetic ratio equal to Dirac’s value g = 2. The color-to-kinematics map implies that on the gravity side, the bulk theory of the fields (Φ; g μν; B μν) has interactions which match those of d-dimensional “string gravity,” as is the case both in the BCJ double copy of pure gauge theory scattering amplitudes and the KLT relations between the tree-level S-matrix elements of open and closed string theory.

Authors:
 [1];  [1];  [1]
  1. Yale Univ., New Haven, CT (United States)
Publication Date:
Research Org.:
Yale Univ., New Haven, CT (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1439386
Alternate Identifier(s):
OSTI ID: 1503840
Grant/Contract Number:  
SC0017660
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 10; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Goldberger, Walter D., Li, Jingping, and Prabhu, Siddharth G. Spinning particles, axion radiation, and the classical double copy. United States: N. p., 2018. Web. doi:10.1103/physrevd.97.105018.
Goldberger, Walter D., Li, Jingping, & Prabhu, Siddharth G. Spinning particles, axion radiation, and the classical double copy. United States. doi:10.1103/physrevd.97.105018.
Goldberger, Walter D., Li, Jingping, and Prabhu, Siddharth G. Tue . "Spinning particles, axion radiation, and the classical double copy". United States. doi:10.1103/physrevd.97.105018.
@article{osti_1439386,
title = {Spinning particles, axion radiation, and the classical double copy},
author = {Goldberger, Walter D. and Li, Jingping and Prabhu, Siddharth G.},
abstractNote = {We extend the perturbative double copy between radiating classical sources in gauge theory and gravity to the case of spinning particles. We construct, to linear order in spins, perturbative radiating solutions to the classical Yang-Mills equations sourced by a set of interacting color charges with chromomagnetic dipole spin couplings. Using a color-to-kinematics replacement rule proposed earlier by one of the authors, these solutions map onto radiation in a theory of interacting particles coupled to massless fields that include the graviton, a scalar (dilaton) Φ and the Kalb-Ramond axion field Bμν. Consistency of the double copy imposes constraints on the parameters of the theory on both the gauge and gravity sides of the correspondence. In particular, the color charges carry a chromomagnetic interaction which, in d = 4, corresponds to a gyromagnetic ratio equal to Dirac’s value g = 2. The color-to-kinematics map implies that on the gravity side, the bulk theory of the fields (Φ; gμν; Bμν) has interactions which match those of d-dimensional “string gravity,” as is the case both in the BCJ double copy of pure gauge theory scattering amplitudes and the KLT relations between the tree-level S-matrix elements of open and closed string theory.},
doi = {10.1103/physrevd.97.105018},
journal = {Physical Review D},
number = 10,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/physrevd.97.105018

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