107 research outputs found
N Delta - Transition Form Factors at Low Momentum Transfer
The three complex form factors entering the vertex
are calculated to in the framework of a chiral effective
theory with explicit (1232) degrees of freedom. Furthermore, the role
of presently unknown low energy constants that affect the values of EMR and CMR
is elucidated.Comment: 5 pages, 3 figures, Oral contribution given at the 8th International
Conference on the Structure of Baryons (Baryons '98), Bonn, Germany, Sept.
22-26, 199
Scaling and confinement aspects of tadpole improved SU(2) lattice gauge theory and its abelian projection
Using a tadpole improved SU(2) gluodynamics action, the nonabelian potential
and the abelian potential after the abelian projection are computed. Rotational
invariance is found restored at coarse lattices both in the nonabelian theory
and in the effective abelian theory resulting from maximal abelian projection.
Asymptotic scaling is tested for the SU(2) string tension. Deviation of the
order of is found, for lattice spacings between 0.27 and 0.06 fm. Evidence
for asymptotic scaling and scaling of the monopole density in maximal abelian
projection is also seen, but not at coarse lattices. The scaling behavior is
compared with analyses of Wilson action results, using bare and renormalized
coupling schemes. Using extended monopoles, evidence is found that the gauge
dependence of the abelian projection reflects short distance fluctuations, and
may thus disappear at large scales.Comment: 28 pages, RevTeX, 12 figures using epsfig (included); accepted for
publication in Physical Revie
Magnetization process of the spin-1/2 XXZ models on square and cubic lattices
The magnetization process of the spin-1/2 antiferromagnetic XXZ model with
Ising-like anisotropy in the ground state is investigated. We show numerically
that the Ising-like XXZ models on square and cubic lattices show a first-order
phase transition at some critical magnetic field. We estimate the value of the
critical field and the magnetization jump on the basis of the Maxwell
construction. The magnetization jump in the Ising-limit is investigated by
means of perturbation theory. Based on our numerical results, we briefly
discuss the phase diagram of the extended Bose-Hubbard model in the hard-core
limit.Comment: 13 pages, RevTex, 7 PostScript figures, to appear in Phys.Rev.
Test of the QCD vacuum with the sources in higher representations
Recent accurate measurement by G.Bali of static potentials between sources in
various SU(3) representations provides a crucial test of the QCD vacuum and of
different theoretical approaches to the confinement. In particular, the Casimir
scaling of static potentials found for all measured distances implies a strong
suppression of higher cumulants and a high accuracy of the Gaussian stochastic
vacuum. Most popular models are in conflict with these measurements.Comment: LaTeX, 7 page
String breaking by dynamical fermions in three-dimensional lattice QCD
The first observation is made of hadronic string breaking due to dynamical
fermions in zero temperature lattice QCD. The simulations are done for SU(2)
color in three dimensions, with two flavors of staggered fermions. The results
have clear implications for the large scale simulations that are being done to
search (so far, without success) for string breaking in four-dimensional QCD.
In particular, string breaking is readily observed using only Wilson loops to
excite a static quark-antiquark pair. Improved actions on coarse lattices are
used, providing an extremely efficient means to access the quark separations
and propagation times at which string breaking occurs.Comment: Revised version to appear in Physical Review D, has additional
discussion of the results, additional references, modified title, larger
figure
Static SU(3) potentials for sources in various representations
The potentials and string tensions between static sources in a variety of
representations (fundamental, 8, 6, 15-antisymmetric, 10, 27 and 15-symmetric)
have been computed by measuring Wilson loops in pure gauge SU(3). The
simulations have been done primarily on anisotropic lattices, using a tadpole
improved action improved to O(a_{s}^4). A range of lattice spacings (0.43 fm,
0.25 fm and 0.11 fm) and volumes (, , and ) has been used in an attempt to control
discretization and finite volume effects. At intermediate distances, the
results show approximate Casimir scaling. Finite lattice spacing effects
dominate systematic error, and are particularly large for the representations
with the largest string tensions.Comment: Version to appear in PR
Casimir Scaling from Center Vortices: Towards an Understanding of the Adjoint String Tension
We argue that the approximate ``Casimir scaling'' of the string tensions of
higher-representation Wilson loops is an effect due to the finite thickness of
center vortex configurations. It is shown, in the context of a simple model of
the Z(2) vortex core, how vortex condensation in Yang-Mills theory can account
for both Casimir scaling in intermediate size loops, and color-screening in
larger loops. An implication of our model is that the deviations from exact
Casimir scaling, which tend to grow with loop size, become much more pronounced
as the dimensionality of the group representation increases.Comment: 13 pages, including 3 eps figures, Latex2e. Two references adde
Tadpole-improved SU(2) lattice gauge theory
A comprehensive analysis of tadpole-improved SU(2) lattice gauge theory is
made. Simulations are done on isotropic and anisotropic lattices, with and
without improvement. Two tadpole renormalization schemes are employed, one
using average plaquettes, the other using mean links in Landau gauge.
Simulations are done with spatial lattice spacings in the range of about
0.1--0.4 fm. Results are presented for the static quark potential, the
renormalized lattice anisotropy (where is the ``temporal''
lattice spacing), and for the scalar and tensor glueball masses. Tadpole
improvement significantly reduces discretization errors in the static quark
potential and in the scalar glueball mass, and results in very little
renormalization of the bare anisotropy that is input to the action. We also
find that tadpole improvement using mean links in Landau gauge results in
smaller discretization errors in the scalar glueball mass (as well as in the
static quark potential), compared to when average plaquettes are used. The
possibility is also raised that further improvement in the scalar glueball mass
may result when the coefficients of the operators which correct for
discretization errors in the action are computed beyond tree level.Comment: 14 pages, 7 figures (minor changes to overall scales in Fig.1; typos
removed from Eqs. (3),(4),(15); some rewording of Introduction
Weak gauge principle and electric charge quantization
Starting from a weak gauge principle we give a new and critical revision of
the argument leading to charge quantization on arbitrary spacetimes. The main
differences of our approach with respect to previous works appear on spacetimes
with non trivial torsion elements on its second integral cohomology group. We
show that in these spacetimes there can be topologically non-trivial
configurations of charged fields which do not imply charge quantization.
However, the existence of a non-exact electromagnetic field always implies the
quantization of charges. Another consequence of the theory for spacetimes with
torsion is the fact that it gives rise to two natural quantization units that
could be identified with the electric quantization unit (realized inside the
quarks) and with the electron charge. In this framework the color charge can
have a topological origin, with the number of colors being related to the order
of the torsion subgroup. Finally, we discuss the possibility that the
quantization of charge may be due to a weak non-exact component of the
electromagnetic field extended over cosmological scales.Comment: Latex2e, 24 pages, no figure
Adjoint "quarks" on coarse anisotropic lattices: Implications for string breaking in full QCD
A detailed study is made of four dimensional SU(2) gauge theory with static
adjoint ``quarks'' in the context of string breaking. A tadpole-improved action
is used to do simulations on lattices with coarse spatial spacings ,
allowing the static potential to be probed at large separations at a
dramatically reduced computational cost. Highly anisotropic lattices are used,
with fine temporal spacings , in order to assess the behavior of the
time-dependent effective potentials. The lattice spacings are determined from
the potentials for quarks in the fundamental representation. Simulations of the
Wilson loop in the adjoint representation are done, and the energies of
magnetic and electric ``gluelumps'' (adjoint quark-gluon bound states) are
calculated, which set the energy scale for string breaking. Correlators of
gauge-fixed static quark propagators, without a connecting string of spatial
links, are analyzed. Correlation functions of gluelump pairs are also
considered; similar correlators have recently been proposed for observing
string breaking in full QCD and other models. A thorough discussion of the
relevance of Wilson loops over other operators for studies of string breaking
is presented, using the simulation results presented here to support a number
of new arguments.Comment: 22 pages, 14 figure
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