Pions as gluons in higher dimensions

Cheung, Clifford; Remmen, Grant N.; Shen, Chia-Hsien; Wen, Congkao

doi:10.1007/JHEP04(2018)129

Title: Pions as gluons in higher dimensions

Journal Article · 24 April 2018 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP04(2018)129 · OSTI ID:1493257

Cheung, Clifford ^[1]; Remmen, Grant N. ^[2]; Shen, Chia-Hsien ^[3]; Wen, Congkao ^[4]

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

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.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: AC02-05CH11231; SC0010255; SC0011632; PHY-1125915; DGE-1144469

OSTI ID:: 1493257

Alternate ID(s):: OSTI ID: 1600673

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 4; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 46 works

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