Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories

@article{Dengiz2016FaddeevJackiwHR,
  title={Faddeev–Jackiw Hamiltonian reduction for free and gauged Rarita–Schwinger theories},
  author={Suat Dengiz},
  journal={The European Physical Journal C},
  year={2016},
  volume={76},
  pages={1-11}
}
  • Suat Dengiz
  • Published 2 February 2016
  • Physics
  • The European Physical Journal C
We study the Faddeev–Jackiw symplectic Hamiltonian reduction for $$3+1$$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… 
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References

SHOWING 1-10 OF 24 REFERENCES
Quantized Gauged Massless Rarita-Schwinger Fields
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
Gauge quantization for spin-32 fields
Classical Gauged Massless Rarita-Schwinger Fields
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
Quantization of an interacting spin - 3 / 2 field and the Delta isobar
Quantization of the free and interacting Rarita-Schwinger field is considered using the Hamiltonian path-integral formulation. The particular interaction we study in detail is the
Supergravity and the S Matrix
We discuss supergravity from an $S$-matrix point of view. Kinematical constraints on helicity amplitudes determine the spin-2 and spin-3/2 Born amplitudes almost uniquely, and force Born amplitudes
Quantization of a Spin-3/2 Field Interacting with the Electromagnetic Field
Quantization of the Rarita-Schwinger field interacting with the internal (external) electro­ magnetic field is made by using the Dirac-Casalbuoni method. The generators of the Poincare group are
Quantization of Gauge Systems
This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical
PROPAGATION AND QUANTIZATION OF RARITA--SCHWINGER WAVES IN AN EXTERNAL ELECTROMAGNETIC POTENTIAL.
The Rarita-Schwinger equation in an external electromagnetic potential is shown to be equivalent to a hyperbolic system of partial differential equations supplemented by initial conditions. The wave
Progress Toward a Theory of Supergravity
As a new approach to supergravity, an action containing only vierbein and Rarita-Schwinger fields (V/suba//sub mu/ and psi/sub mu/) is presented together with supersymmetry transformations for these
Diverse topics in theoretical and mathematical physics
Part 1 Anomalies and fractional charge: non-canonical behaviour in canonical theories quantum mechanical symmetry breaking delta function potentials in two- and three-dimensional quantum mechanics
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