663 research outputs found
Consistent relativistic Quantum Theory for systems/particles described by non-Hermitian Hamiltonians and Lagrangians
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.Comment: 14 pages, no figures; invited contribution to the 2nd Int. Workshop
on "Hadron Physics, Effective Theories of Low Energy QCD", CFT, Coimbra
University, Portugal, September 25-29, 2002; ref. 15 update
On Scalar Meson Dominance in Semi- and Non-Leptonic Weak Pseudoscalar Meson Decays
Aspects of Scalar Meson Dominance in semi- and non-leptonic weak pseudoscalar
meson decays are shortly discussed on the basis of the Quark-Level Linear Sigma
Model.Comment: 5 pages, no figures, contribution to XI Int. Conf. on "Hadron
Spectroscopy" (HADRON 05), 21.-26.8.2005, Rio de Janeiro, Brazi
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