General solutions of one class of field equations

DOI10.1016/S0034-4877(17)30011-3zbMath1384.81027arXiv1406.6665MaRDI QIDQ1744698

Dmitry Shirokov, Nikolai Marchuk

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6665

zbMATH Keywords

gauge symmetryDirac equationClifford algebraDirac gamma matricesYang-Mills equationsprimitive field equation

Mathematics Subject Classification ID

Model quantum field theories (81T10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in quantum field theory (81T13)

Related Items (9)

Stochastic Lévy differential operators and Yang–Mills equations ⋮ Analysis in differential algebras and modules ⋮ Covariantly constant solutions of the Yang-Mills equations ⋮ Classification of extended Clifford algebras ⋮ Lévy Laplacians in Hida calculus and Malliavin calculus ⋮ Analysis in algebras and modules ⋮ Finding stationary solutions of the Lindblad equation by analyzing the entropy production functional ⋮ On constant solutions of SU(2) Yang-Mills equations with arbitrary current in Euclidean space ℝⁿ ⋮ A generalization of the Yang-Mills equations

Cites Work

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• On a field equation generating a new class of particular solutions to the Yang-Mills equations
• Extension of Pauli's theorem to Clifford algebras
• Unitary spaces on Clifford algebras
• On some relations between spinor and orthogonal groups
• Lie groups as spin groups
• A classification of Lie algebras of pseudo-unitary groups in the techniques of Clifford algebras

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