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Bibliographic Details
Main Author: Lee, Cheng-Yang
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2305.17712
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Table of Contents:
  • 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.