Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories
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10052_2016_Article_4411.pdf
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Author(s)
Dengiz, Suat
Date Issued
October 2016
Journal
The European Physical Journal C
Publisher
Springer Berlin Heidelberg
Citation
Dengiz, Suat. “Faddeev–Jackiw Hamiltonian Reduction for Free and Gauged Rarita–Schwinger Theories.” The European Physical Journal C 76.10 (2016): n. pag.
Version
Final published version
Abstract
We study the Faddeev–Jackiw symplectic Hamiltonian reduction for 3 + 1-dimensional free and Abelian gauged Rarita–Schwinger theories that comprise Grassmannian fermionic fields. We obtain the relevant fundamental brackets and find that they are in convenient forms for quantization. The brackets are independent of whether the theories contain mass or gauge fields, and the structures of constraints and symplectic potentials largely determine characteristic behaviors of the theories. We also note that, in contrast to the free massive theory, the Dirac field equations for free massless Rarita–Schwinger theory cannot be obtained in a covariant way.
MIT Department
Massachusetts Institute of Technology. Laboratory for Nuclear Science
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DOI of Published Version
https://doi.org/10.1140/epjc/s10052-016-4411-3
