151 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
The Light and Heavy Scalars in Unitarized Coupled Channel and Lagrangian Approaches
Using ideas underlying the flavour-blind "Nijmegen Unitarised Meson Model" we
try to understand on the basis of a system of Schroedinger equations with one
meson-meson and one (spinless) quark-antiquark channel coupled by a simple
delta-shell transition potential the formation of (e.g. scalar) meson-meson
scattering singularities in the complex momentum and energy plane. Surprisingly
we are able to describe without direct meson-meson interaction and without any
need for glueballs the whole known scalar meson spectrum. "Light" scalar mesons
(e.g. f0(600), kappa(800), f0(980), a0(985), D*0(2290), ...) are identified to
belong to the spectrum of the transition potential, while "heavy" scalars (e.g.
f0(1370), K*0(1430), f0(1500), f0(1710), a0(1450), D*0(2621) (?), D*0(2825)
(?), D*sJ(2928) (?), ...) are related to the confinement spectrum. Due to the
particular value of the charm-strange reduced quark mass level-(anti)crossing
in the complex momentum plane occurs which relates the BABAR state Ds(2317) to
the bare groundstate of the confinement spectrum, while the respective
groundstate of the transition potential ends up as D*sJ(2782) (?). We conclude
with a short comment on (our) recent progress in the consistent quantum field
theoretical effective description of resonances within a Lagrangian framework.Comment: 5 pages, 1 figure consisting of 4 eps-files; contribution to the 10th
Int. Conference on "Hadron Spectroscopy" (HADRON '03), Aschaffenburg,
Germany, 31.8.-6.9.200
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