Quantized gauged massless Rarita-Schwinger fields
Author(s) -
Stephen L. Adler
Publication year - 2015
Publication title -
physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology
Language(s) - English
Resource type - Journals
eISSN - 1550-7998
pISSN - 1550-2368
DOI - 10.1103/physrevd.92.085023
Subject(s) - covariant transformation , mathematical physics , physics , massless particle , helicity , invariant (physics) , lorenz gauge condition , quantization (signal processing) , first class constraint , hamiltonian (control theory) , gauge fixing , lorentz transformation , gauge theory , quantum mechanics , introduction to gauge theory , mathematics , mathematical analysis , gauge anomaly , moment map , mathematical optimization , symplectic representation , algorithm , symplectic geometry , gauge boson
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.
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