Using raising and lowering operators from geometric algebra for electroweak theory in particle physics

DOI10.1007/s00006-019-1002-zzbMath1429.81105OpenAlexW2973457462WikidataQ127251803 ScholiaQ127251803MaRDI QIDQ2010533

Gene E. McClellan

Publication date: 27 November 2019

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

Full work available at URL: https://doi.org/10.1007/s00006-019-1002-z

zbMATH Keywords

Lie groupsLie algebrastandard modelprojectorsgeometric algebraparticle physicsladder operatorschiralitySU(2)electroweak4+1 dimensionscompound bivector generatorsHestenes-Dirac equation

Mathematics Subject Classification ID

Unified quantum theories (81V22) Model quantum field theories (81T10) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Electromagnetic interaction; quantum electrodynamics (81V10) Weak interaction in quantum theory (81V15) Clifford algebras, spinors (15A66) Geometric Langlands program (algebro-geometric aspects) (14D24)

Related Items (2)

Operators and field equations in the electroweak sector of particle physics ⋮ New applications of Clifford's geometric algebra

Cites Work

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