Quantized Gauged Massless Rarita-Schwinger Fields

Abstract

We study quantization of a minimally gauged massless Rarita-Schwinger field, by both Dirac bracket and functional integral methods. The Dirac bracket approach in covariant radiation gauge leads to an anticommutator that has a non-singular limit as gauge fields approach zero, is manifestly positive semidefinite, and is Lorentz invariant. The constraints also have the form needed to apply the Faddeev-Popov method for deriving a functional integral, using the same constrained Hamiltonian and inverse constraint matrix that appear in the Dirac bracket approach.

arXiv commentLatex, 22 pages. This is the second of two papers that supersede arXiv:1502.02652. v2 has revisions to Sec. 2 and other edits; Phys. Rev. D (in press)