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

Sponsoring Organization:: National Science Foundation (NSF) (United States); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: AC02-05CH11231; SC0010255; SC0011632

OSTI ID:: 1493257

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

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Higher-order tree-level amplitudes in the nonlinear sigma model Bijnens, Johan; Kampf, Karol; Sjö, Mattias Journal of High Energy Physics, Vol. 2019, Issue 11 https://doi.org/10.1007/jhep11(2019)074	journal	November 2019
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Transmuting CHY formulae Bollmann, Max; Ferro, Livia arXiv https://doi.org/10.48550/arxiv.1808.07451	text	January 2018
Perturbiner Methods for Effective Field Theories and the Double Copy Mizera, Sebastian; Skrzypek, Barbara arXiv https://doi.org/10.48550/arxiv.1809.02096	text	January 2018
Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes Garozzo, Lucia M.; Queimada, Leonel; Schlotterer, Oliver arXiv https://doi.org/10.48550/arxiv.1809.08103	text	January 2018
The Infrared Structure of Exceptional Scalar Theories Yin, Zhewei arXiv https://doi.org/10.48550/arxiv.1810.07186	text	January 2018
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On the kinematic algebra for BCJ numerators beyond the MHV sector Chen, Gang; Johansson, Henrik; Teng, Fei arXiv https://doi.org/10.48550/arxiv.1906.10683	text	January 2019
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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
effective field theories
scattering amplitudes
sigma models
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Title: Pions as gluons in higher dimensions

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