Physical fields and Clifford algebras

1997/09/06 by В. В. Варламов, Vadim V. Varlamov, Varlamov, Vadim V. · 2 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9709051

8 pages, Latex

arxiv created 1997/09/06 · arxiv updated 2009/11/30

Abstract

The physical fields (electromagnetic and electron fields) considered in the framework of Clifford algebras \C₂ and \C₄. The electron field described by the algebra \C₄ which in spinor representation is realized by well-known Dirac γ-matrices, and by force of isomorphism \C₄≅\C₂⊗ \C₂ is represented as a tensor product of two photon fields. By means of this introduced a system of electron field equations, which in particular cases is coincide with Dirac's and Maxwell's equations.

Cited by

• Physical fields and Clifford algebras II. Neutrino field
• Modulo 2 periodicity of complex Clifford algebras and electromagnetic field

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