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Consistent relativistic Quantum Theory for systems/particles described by non‐Hermitian Hamiltonians and Lagrangians

 

作者: Frieder Kleefeld,  

 

期刊: AIP Conference Proceedings  (AIP Available online 1903)
卷期: Volume 660, issue 1  

页码: 325-338

 

ISSN:0094-243X

 

年代: 1903

 

DOI:10.1063/1.1570583

 

出版商: AIP

 

数据来源: AIP

 

摘要:

A causal, non‐Hermitian, renormalizable, local, unitary and Lorentz convariant formulation of Quantum Theory (QT) (= Quantum Mechanics (QM) and Quantum Field Theory (QFT)) is developed which is free of formalistic problems we face in the commonly used Hermitian formulation of QT. Side effects of the new formulation of QT are the derivation of a consistent (anti)causal neutrino Lagrangian, the enrichment of chiral symmetries, the removal of the Dirac sea, the separation of positive and negative energy states including a reformulation of the anti‐particle concept and a critical analysis of the concept of probability currents. In a first step we apply the new formulation of QT to establish a relation between perturbative Quantum Chromodynamics (QCD) and the (axial)vector meson extended Quark‐Level Linear Sigma Model (QLLSM) at high energies. © 2003 American Institute of Physics

 

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