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Published April 2018 | Published + Submitted
Journal Article Open

Pions as Gluons in Higher Dimensions


We derive the nonlinear sigma model as a peculiar dimensional reduction of Yang-Mills theory. In this framework, pions are reformulated as higher-dimensional 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 color-kinematics 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 Born-Infeld 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 Yang-Mills theory and gravity, respectively, their double copy relationship is automatic.

Additional Information

© 2018 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: September 28, 2017; Revised: March 14, 2018; Accepted: April 7, 2018; Published: April 24, 2018. We thank Andrés Luna, John Joseph M. Carrasco, Song He, and Yu-tin Huang for helpful discussions. C.C. is supported by a Sloan Research Fellowship and C.C., C.-H.S., and C.W. are supported in part by a DOE Early Career Award under Grant No. DE-SC0010255 and by the NSF under Grant No. NSF PHY-1125915. G.N.R. was supported at Caltech by a Hertz Graduate Fellowship and a NSF Graduate Research Fellowship under Grant No. DGE-1144469 and is currently supported at University of California, Berkeley by the Miller Institute for Basic Research in Science. C.-H.S. is also supported by Mani L. Bhaumik Institute for Theoretical Physics. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.

Attached Files

Published - 10.1007_2FJHEP04_2018_129.pdf

Submitted - 1709.04932.pdf


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