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arxiv: 2305.17712 · v2 · pith:OFK6MWA5new · submitted 2023-05-28 · ✦ hep-th

Generalized unitary evolution for symplectic scalar fermions

classification ✦ hep-th
keywords scalarsymplecticchargescurrentsevolutionfermionsgeneralizedhermitian
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The theory of symplectic scalar fermion of LeClair and Neubert is studied. The theory evades the conventional spin-statistics theorem because its Hamiltonian is pseudo Hermitian. Here, we clarify the derivation of the symplectic currents and charges. By demanding the currents and charges to be pseudo Hermitian, the global symmetry of the free Lagrangian density reduces from Sp(2,C) to SU(2). By explicit calculations, we show that the LeClair-Neubert model of N quartic self-interacting scalar fermions admits generalized unitary evolution.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Non-perturbative renormalization group for pseudo-hermitian scalar fields in 4D

    hep-th 2025-04 unverdicted novelty 7.0

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  2. SUSY meets pseudo-Hermiticity

    hep-th 2026-06 unverdicted novelty 6.0

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