Constant solutions of Yang-Mills equations and generalized Proca equations

DOI10.7546/JGSP-42-2016-53-72zbMath1366.35152arXiv1611.03070OpenAlexW2567876545WikidataQ130200210 ScholiaQ130200210MaRDI QIDQ526074

Dmitry Shirokov, Nikolai Marchuk

Publication date: 8 May 2017

Published in: Journal of Geometry and Symmetry in Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.03070

zbMATH Keywords

Proca equationYang-Mills equationsClifford and Grassmann algebras

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Clifford algebras, spinors (15A66) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Exterior algebra, Grassmann algebras (15A75)

Related Items (6)

Method of averaging in Clifford algebras ⋮ Self-adjoint elements in the pseudo-unitary group \(\mathbf{U}(p, p)\) ⋮ Hyperbolic singular value decomposition in the study of Yang-Mills and Yang-Mills-Proca equations ⋮ Covariantly constant solutions of the Yang-Mills equations ⋮ Lie-Poisson structures over differential algebras ⋮ On constant solutions of SU(2) Yang-Mills equations with arbitrary current in Euclidean space ℝⁿ

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