Operators and field equations in the electroweak sector of particle physics

DOI10.1007/s00006-021-01168-xOpenAlexW3193469986MaRDI QIDQ2240772

Gene E. McClellan

Publication date: 4 November 2021

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-021-01168-x

zbMATH Keywords

Klein-Gordon equationDirac equationfactorizationstandard modelprojectorsgeometric calculusparticle physicsladder operatorschiralityelectronneutrinoelectroweak\(SU(2)\)Hestenes-Dirac equation\(4+1\) dimensions

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Qxx) Applications of Clifford algebras to physics, etc. (15A67)

Cites Work

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• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Dirac \(\gamma\)-equation, classical gauge fields and Clifford algebra
• Using raising and lowering operators from geometric algebra for electroweak theory in particle physics
• Application of geometric algebra to the electroweak sector of the standard model of particle physics
• A geometric basis for the standard-model gauge group
• The Clifford algebra of physical space and Dirac theory
• On a factorization of the Schrödinger and Klein-Gordon operators
• A demonstration that electroweak theory can violate parity automatically (leptonic case)
• Quantum Field Theory for the Gifted Amateur

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