Quantized Gauged Massless Rarita-Schwinger Fields
High Energy Physics - Theory
2016-01-05 v2
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.
Cite
@article{arxiv.1508.03382,
title = {Quantized Gauged Massless Rarita-Schwinger Fields},
author = {Stephen L. Adler},
journal= {arXiv preprint arXiv:1508.03382},
year = {2016}
}
Comments
Latex, 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)