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2015

Classical Gauged Massless Rarita-Schwinger Fields

Adler, Stephen L.

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We show that, in contrast to known results in the massive case, a minimally gauged massless Rarita-Schwinger field yields a consistent classical theory, with a generalized fermionic gauge invariance realized as a canonical transformation.

To simplify the algebra, we study a two-component left chiral reduction of the massless theory.
We formulate the classical theory in both Lagrangian and Hamiltonian form for a general non-Abelian gauging, and analyze the constraints and the Rarita-Schwinger gauge invariance of the action.
An explicit wave front calculation for Abelian gauge fields shows that wave-like modes do not propagate with superluminal velocities.

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