Physical fields and Clifford algebras

Vadim V. Varlamov

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arXiv · hep-th/9709051

Physical fields and Clifford algebras

Vadim V. Varlamov

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Abstract

The physical fields (electromagnetic and electron fields) considered in the framework of Clifford algebras $\C_2$ and $\C_4$. The electron field described by the algebra $\C_4$ which in spinor representation is realized by well-known Dirac $γ$-matrices, and by force of isomorphism $\C_{4}\cong\C_{2}\otimes \C_{2}$ 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.

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Vadim V. Varlamov. 1997-09-06. Physical fields and Clifford algebras. https://arxiv.org/abs/hep-th/9709051

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