85 research outputs found
Effective chiral restoration in the rho'-meson in lattice QCD
In simulations with dynamical quarks it has been established that the ground
state rho in the infrared is a strong mixture of the two chiral representations
(0,1)+(1,0) and (1/2,1/2)_b. Its angular momentum content is approximately the
3S1 partial wave which is consistent with the quark model. Effective chiral
restoration in an excited rho-meson would require that in the infrared this
meson couples predominantly to one of the two representations. The variational
method allows one to study the mixing of interpolators with different chiral
transformation properties in the non-perturbatively determined excited state at
different resolution scales. We present results for the first excited state of
the rho-meson using simulations with n_f=2 dynamical quarks. We point out, that
in the infrared a leading contribution to rho'= rho(1450) comes from
(1/2,1/2)_b, in contrast to the rho. Its approximate chiral partner would be a
h_1(1380) state. The rho' wave function contains a significant contribution of
the 3D1 wave which is not consistent with the quark model prediction.Comment: 4 pp, a few short remarks have been added, a reference updated. To
appear in PR
Gedanken Worlds without Higgs: QCD-Induced Electroweak Symmetry Breaking
To illuminate how electroweak symmetry breaking shapes the physical world, we
investigate toy models in which no Higgs fields or other constructs are
introduced to induce spontaneous symmetry breaking. Two models incorporate the
standard SU(3)_c x SU(2)_L x U(1)_Y gauge symmetry and fermion content similar
to that of the standard model. The first class--like the standard electroweak
theory--contains no bare mass terms, so the spontaneous breaking of chiral
symmetry within quantum chromodynamics is the only source of electroweak
symmetry breaking. The second class adds bare fermion masses sufficiently small
that QCD remains the dominant source of electroweak symmetry breaking and the
model can serve as a well-behaved low-energy effective field theory to energies
somewhat above the hadronic scale. A third class of models is based on the
left-right--symmetric SU(3)_c x SU(2)_L x SU(2)_R x U(1)_{B-L} gauge group. In
a fourth class of models, built on SU(4)_{PS} x SU(2)_L x SU(2)_R gauge
symmetry, lepton number is treated as a fourth color. Many interesting
characteristics of the models stem from the fact that the effective strength of
the weak interactions is much closer to that of the residual strong
interactions than in the real world. The Higgs-free models not only provide
informative contrasts to the real world, but also lead us to consider
intriguing issues in the application of field theory to the real world.Comment: 20 pages, no figures, uses RevTeX; typos correcte
Chiral Perturbation Theory for , , and
We use heavy vector meson chiral perturbation theory
to predict differential decay distributions for and in the kinematic region where
(here or ) is much smaller than the
chiral symmetry breaking scale. Using the large number of colors limit we also
predict the rate for in this region (now
). Comparing our prediction with experimental data, we determine
one of the coupling constants in the heavy vector meson chiral Lagrangian.Comment: 14 pages, latex 2e. We include the decay of the tau into the omega,
pi minus and the tau neutrino, and extract a value for the coupling constant
g2, using experimental dat
On the and as Bound States and Approximate Nambu-Goldstone Bosons
We reconsider the two different facets of and mesons as
bound states and approximate Nambu-Goldstone bosons. We address several topics,
including masses, mass splittings between and and between and
, meson wavefunctions, charge radii, and the wavefunction overlap.Comment: 15 pages, late
Strong Decays of Mesons
We present a detailed study of the two-body strong decays of light mesons.
Both the space part and the spin-flavor-color part of the wave functions are
generated algebraically and closed forms are obtained for all decays.
Experimental deviations from our systematics are seen to be suggestive of both
missing mesons and exotic QCD configurations.Comment: 24 pages (+6 figures, available from the authors), LATEX file, Yale
preprint YCTP-N18-9
Comments on Diquarks, Strong Binding and a Large Hidden QCD Scale
We present arguments regarding diquarks possible role in low-energy hadron
phenomenology that escaped theorists' attention so far. Good diquarks, i.e. the
states of two quarks, are argued to have a two-component structure with
one of the components peaking at distances several times shorter than a typical
hadron size (a short-range core). This can play a role in solving two old
puzzles of the 't Hooft 1/N expansion: strong quark mass dependence of the
vacuum energy density and strong violations of the Okubo-Zweig-Iizuka (OZI)
rule in the quark-antiquark channels. In both cases empiric data defy
't Hooft's 1/N suppression. If good diquarks play a role at an intermediate
energy scale they ruin 't Hoofts planarity because of their mixed-flavor
composition. This new scale associated with the good diquarks may be related to
a numerically large scale discovered in [V. Novikov, M. Shifman, A. Vainshtein
and V. Zakharov, Nucl. Phys. B 191, 301 (1981)] in a number of phenomena mostly
related to vacuum quantum numbers and glueball channels. If SU(3) of bona fide QCD is replaced by SU(2), diquarks become
well-defined gauge invariant objects. Moreover, there is an exact symmetry
relating them to pions. In this limit predictions regarding good diquarks are
iron-clad. If passage from SU(2) to SU(3) does not
lead to dramatic disturbances, these predictions remain qualitatively valid in
bona fide QCD.Comment: 18 pages, 3 figures; journal version, minor change
Unified description of light- and strange-baryon spectra
We present a chiral constituent quark model for light and strange baryons
providing a unified description of their ground states and excitation spectra.
The model relies on constituent quarks and Goldstone bosons arising as
effective degrees of freedom of low-energy QCD from the spontaneous breaking of
chiral symmetry. The spectra of the three-quark systems are obtained from a
precise variational solution of the Schr\"odinger equation with a
semirelativistic Hamiltonian. The theoretical predictions are found in close
agreement with experiment.Comment: 9 pages, including 2 figure
Nonperturbative Light-Front QCD
In this work the determination of low-energy bound states in Quantum
Chromodynamics is recast so that it is linked to a weak-coupling problem. This
allows one to approach the solution with the same techniques which solve
Quantum Electrodynamics: namely, a combination of weak-coupling diagrams and
many-body quantum mechanics. The key to eliminating necessarily nonperturbative
effects is the use of a bare Hamiltonian in which quarks and gluons have
nonzero constituent masses rather than the zero masses of the current picture.
The use of constituent masses cuts off the growth of the running coupling
constant and makes it possible that the running coupling never leaves the
perturbative domain. For stabilization purposes an artificial potential is
added to the Hamiltonian, but with a coefficient that vanishes at the physical
value of the coupling constant. The weak-coupling approach potentially
reconciles the simplicity of the Constituent Quark Model with the complexities
of Quantum Chromodynamics. The penalty for achieving this perturbative picture
is the necessity of formulating the dynamics of QCD in light-front coordinates
and of dealing with the complexities of renormalization which such a
formulation entails. We describe the renormalization process first using a
qualitative phase space cell analysis, and we then set up a precise similarity
renormalization scheme with cutoffs on constituent momenta and exhibit
calculations to second order. We outline further computations that remain to be
carried out. There is an initial nonperturbative but nonrelativistic
calculation of the hadronic masses that determines the artificial potential,
with binding energies required to be fourth order in the coupling as in QED.
Next there is a calculation of the leading radiative corrections to these
masses, which requires our renormalization program. Then the real struggle of
finding the right extensions to perturbation theory to study the
strong-coupling behavior of bound states can begin.Comment: 56 pages (REVTEX), Report OSU-NT-94-28. (figures not included,
available via anaonymous ftp from pacific.mps.ohio-state.edu in subdirectory
pub/infolight/qcd
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