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Lorentz Symmetric Quantum Field Theory for Symplectic Fermions
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Lorentz Symmetric Quantum Field Theory for Symplectic Fermions
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A free quantum field theory with Lorentz symmetry is derived for spin-half symplectic fermions in 2+1 dimensions. In particular, we show that fermionic spin-half fields may be canonically quantized in a free theory with a Klein-Gordon Lagrangian. This theory is shown to have all the required properties of a consistent free quantum field theory, namely causality, unitarity, adherence to the spin-statistics theorem, CPT symmetry, and the Hermiticity and positive definiteness of the Hamiltonian. The global symmetry of the free theory is Sp(4) $\simeq$ SO(5). Possible interacting theories of both the pseudo-Hermitian and Hermitian variety are then examined briefly.
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Cited by 1 Pith paper
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SUSY meets pseudo-Hermiticity
Constructs pseudo-Hermitian Wess-Zumino model with symplectic fermions and bosonic spinor via superfields, then couples it to Hermitian version to allow cubic interactions while preserving SUSY.
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