Monday, December 17, 2012

1212.3452 (Alexander Torres-Gomez et al.)

Fermions via spinor-valued one-forms    [PDF]

Alexander Torres-Gomez, Kirill Krasnov
Spinor-valued one-forms (Rarita-Schwinger fields) are normally used in the context of supergravity, where they describe spin 3/2 particles (gravitinos). Indeed, when decomposed into irreducible representations of the Lorentz group such a field contains both a spin 1/2 and a spin 3/2 component, and the Rarita-Schwinger Lagrangian is designed to make only the spin 3/2 propagate. We point out that the opposite construction is also possible, and give a spinor-valued one-form field Lagrangian that describes a propagating spin 1/2 particle.
View original: http://arxiv.org/abs/1212.3452

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