Pions as gluons in higher dimensions
We derive the nonlinear sigma model as a peculiar dimensional reduction of YangMills theory. In this framework, pions are reformulated as higherdimensional gluons arranged in a kinematic configuration that only probes cubic interactions. This procedure yields a purely cubic action for the nonlinear sigma model that exhibits a symmetry enforcing colorkinematics duality. Remarkably, the associated kinematic algebra originates directly from the Poincaré algebra in higher dimensions. Applying the same construction to gravity yields a new quartic action for BornInfeld theory and, applied once more, a cubic action for the special Galileon theory. Since the nonlinear sigma model and special Galileon are subtly encoded in the cubic sectors of YangMills theory and gravity, respectively, their double copy relationship is automatic.
 Authors:

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 California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics
 Univ. of California, Berkeley, CA (United States). Berkeley Center for Theoretical Physics. Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Theoretical Physics Group
 Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics. Dept. of Physics and Astronomy
 California Inst. of Technology (CalTech), Pasadena, CA (United States). Walter Burke Inst. for Theoretical Physics; Univ. of California, Los Angeles, CA (United States). Mani L. Bhaumik Inst. for Theoretical Physics. Dept. of Physics and Astronomy
 Publication Date:
 Grant/Contract Number:
 AC0205CH11231; SC0010255; SC0011632; PHY1125915; DGE1144469
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 4; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); California Inst. of Technology (CalTech), Pasadena, CA (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25); National Science Foundation (NSF)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; effective field theories; sigma models; scattering amplitudes; spacetime symmetries
 OSTI Identifier:
 1493257
Cheung, Clifford, Remmen, Grant N., Shen, ChiaHsien, and Wen, Congkao. Pions as gluons in higher dimensions. United States: N. p.,
Web. doi:10.1007/JHEP04(2018)129.
Cheung, Clifford, Remmen, Grant N., Shen, ChiaHsien, & Wen, Congkao. Pions as gluons in higher dimensions. United States. doi:10.1007/JHEP04(2018)129.
Cheung, Clifford, Remmen, Grant N., Shen, ChiaHsien, and Wen, Congkao. 2018.
"Pions as gluons in higher dimensions". United States.
doi:10.1007/JHEP04(2018)129. https://www.osti.gov/servlets/purl/1493257.
@article{osti_1493257,
title = {Pions as gluons in higher dimensions},
author = {Cheung, Clifford and Remmen, Grant N. and Shen, ChiaHsien and Wen, Congkao},
abstractNote = {We derive the nonlinear sigma model as a peculiar dimensional reduction of YangMills theory. In this framework, pions are reformulated as higherdimensional gluons arranged in a kinematic configuration that only probes cubic interactions. This procedure yields a purely cubic action for the nonlinear sigma model that exhibits a symmetry enforcing colorkinematics duality. Remarkably, the associated kinematic algebra originates directly from the Poincaré algebra in higher dimensions. Applying the same construction to gravity yields a new quartic action for BornInfeld theory and, applied once more, a cubic action for the special Galileon theory. Since the nonlinear sigma model and special Galileon are subtly encoded in the cubic sectors of YangMills theory and gravity, respectively, their double copy relationship is automatic.},
doi = {10.1007/JHEP04(2018)129},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2018,
place = {United States},
year = {2018},
month = {4}
}