Fermions without spinors

Benn, Ian and Tucker, Robin (1983) Fermions without spinors. Communications in Mathematical Physics, 89 (3). pp. 341-362. ISSN 0010-3616

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The classical Kähler equation for an inhomogeneous differential form is analysed in some detail with respect to the physical properties of its Minkowski space solutions. Although the components of the field contain only integer representations of the Lorentz group for a physical interpretation of the quantum theory, we impose fermionic commutators. The electromagnetic interactions are identical to those of a Dirac spinor field with an extra fourfold degeneracy. Possibilities for the interpretation of the extra degrees of freedom are discussed.

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Journal Article
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Communications in Mathematical Physics
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?? mathematical physicsstatistical and nonlinear physics ??
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03 Aug 2015 14:20
Last Modified:
15 Jul 2024 15:20