1,346 research outputs found
Effects of Magnesium Deficiency on Discriminative Avoidance Behavior of Rats
The purpose of this thesis is to determine what effects a dietary magnesium deficiency has on the discriminative avoidance behavior of rats. Three experiments were conducted. Experiment I compared two groups to determine the effects of magnesium deficiency on bar-press discriminative avoidance behavior. The results of Experiment l clearly illustrated that rats fed n diet deficient in magnesium began to lose their discriminative avoidance behavior after approximately five days with a steady decrease in performance over the remaining five days. Experiment II used a single subject design in an attempt to replicate Experiment I and to determine whether or not the magnesium deficiency effect could be reversed. Blood samples of serum magnesium for each rat were taken daily. The results confirmed Experiment I. A magnesium deficiency did cause a decrease in the performance of discriminative bar-press avoidance. Two of the four rats responded to the rehabilitation treatment with a corresponding increase in avoidance behavior with an increase in serum magnesium levels. The other two rats did not recover avoidance performance with rehabilitation, but did improve with regard to other behavioral measurements. Experiment III again employed two groups of rats in an attempt to determine the effects of a magnesium deficiency upon acquisition of a discriminative shuttle box avoidance performance. A pilot study to Experiment III showed a clear effect with normal controls displaying statistically more avoidance responses than the experimentals who received subnormal levels of magnesium. The results from Experiment III however showed no statistically significant difference between the controls and experimentals even though there was a statistical difference in serum magnesium concentration
Transverse Lattice QCD in 2+1 Dimensions
Following a suggestion due to Bardeen and Pearson, we formulate an effective
light-front Hamiltonian for large-N gauge theory in (2+1)-dimensions. Two
space-time dimensions are continuous and the remaining space dimension is
discretised on a lattice. Eguchi-Kawai reduction to a (1+1)-dimensional theory
takes place. We investigate the string tension and glueball spectrum, comparing
with Euclidean Lattice Monte Carlo data.Comment: 4 pages LaTeX with 2 Postscript figures, uses boxedeps.tex and e
spcrc2.sty. Poster session contribution to LATTICE96(poster). Minor changes
in new versio
Transverse Lattice Approach to Light-Front Hamiltonian QCD
We describe a non-perturbative procedure for solving from first principles
the light-front Hamiltonian problem of SU(N) pure gauge theory in D spacetime
dimensions (D>2), based on enforcing Lorentz covariance of observables. A
transverse lattice regulator and colour-dielectric link fields are employed,
together with an associated effective potential. We argue that the light-front
vacuum is necessarily trivial for large enough lattice spacing, and clarify why
this leads to an Eguchi-Kawai dimensional reduction of observables to
1+1-dimensions in the infinite N limit. The procedure is then tested by
explicit calculations for 2+1-dimensional SU(infinity) gauge theory, within a
first approximation to the lattice effective potential. We identify a scaling
trajectory which produces Lorentz covariant behaviour for the lightest
glueballs. The predicted masses, in units of the measured string tension, are
in agreement with recent results from conventional Euclidean lattice
simulations. In addition, we obtain the potential between heavy sources and the
structure of the glueballs from their light-front wavefunctions. Finally, we
briefly discuss the extension of these calculations to 3+1-dimensions.Comment: 55 pages, uses macro boxedeps.tex, minor corrections in revised
versio
Colour-Dielectric Gauge Theory on a Transverse Lattice
We investigate in some detail consequences of the effective colour-dielectric
formulation of lattice gauge theory using the light-cone Hamiltonian formalism
with a transverse lattice. As a quantitative test of this approach, we have
performed extensive analytic and numerical calculations for 2+1-dimensional
pure gauge theory in the large N limit. Because of Eguchi-Kawai reduction, one
effectively studies a 1+1-dimensional gauge theory coupled to matter in the
adjoint representation. We study the structure of coupling constant space for
our effective potential by comparing with the physical results available from
conventional Euclidean lattice Monte Carlo simulations of this system. In
particular, we calculate and measure the scaling behaviour of the entire
low-lying glueball spectrum, glueball wavefunctions, string tension, asymptotic
density of states, and deconfining temperature. We employ a new hybrid
DLCQ/wavefunction basis in our calculations of the light-cone Hamiltonian
matrix elements, along with extrapolation in Tamm-Dancoff truncation,
significantly reducing numerical errors. Finally we discuss, in light of our
results, what further measurements and calculations could be made in order to
systematically remove lattice spacing dependence from our effective potential a
priori.Comment: 48 pages, Latex, uses macro boxedeps.tex, minor errors corrected in
revised versio
A Mean Field Approximation to the Worldsheet Model of Planar phi^3 Field Theory
We develop an approximation scheme for our worldsheet model of the sum of
planar diagrams based on mean field theory. At finite coupling the mean field
equations show a weak coupling solution that resembles the perturbative
diagrams and a strong coupling solution that seems to represent a tensionless
soup of field quanta. With a certain amount of fine-tuning, we find a solution
of the mean field equations that seems to support string formation.Comment: 27 pages, 10 figures, typos corrected, appendix on slowly varying
mean fields adde
Glueball masses in the large N limit
The lowest-lying glueball masses are computed in SU() gauge theory on a
spacetime lattice for constant value of the lattice spacing and for
ranging from 3 to 8. The lattice spacing is fixed using the deconfinement
temperature at temporal extension of the lattice . The calculation is
conducted employing in each channel a variational ansatz performed on a large
basis of operators that includes also torelon and (for the lightest states)
scattering trial functions. This basis is constructed using an automatic
algorithm that allows us to build operators of any size and shape in any
irreducible representation of the cubic group. A good signal is extracted for
the ground state and the first excitation in several symmetry channels. It is
shown that all the observed states are well described by their large
values, with modest corrections. In addition spurious states
are identified that couple to torelon and scattering operators. As a byproduct
of our calculation, the critical couplings for the deconfinement phase
transition for N=5 and N=7 and temporal extension of the lattice are
determined.Comment: 1+36 pages, 22 tables, 21 figures. Typos corrected, conclusions
unchanged, matches the published versio
Transverse lattice calculation of the pion light-cone wavefunctions
We calculate the light-cone wavefunctions of the pion by solving the meson
boundstate problem in a coarse transverse lattice gauge theory using DLCQ. A
large-N_c approximation is made and the light-cone Hamiltonian expanded in
massive dynamical fields at fixed lattice spacing. In contrast to earlier
calculations, we include contributions from states containing many gluonic
link-fields between the quarks.The Hamiltonian is renormalised by a combination
of covariance conditions on boundstates and fitting the physical masses M_rho
and M_pi, decay constant f_pi, and the string tension sigma. Good covariance is
obtained for the lightest 0^{-+} state, which we identify with the pion. Many
observables can be deduced from its light-cone wavefunctions.After perturbative
evolution,the quark valence structure function is found to be consistent with
the experimental structure function deduced from Drell-Yan pi-nucleon data in
the valence region x > 0.5. In addition, the pion distribution amplitude is
consistent with the experimental distribution deduced from the pi gamma^* gamma
transition form factor and diffractive dissociation. A new observable we
calculate is the probability for quark helicity correlation. We find a 45%
probability that the valence-quark helicities are aligned in the pion.Comment: 27 pages, 9 figure
Glueball calculations in large-N_c gauge theory
We use the light-front Hamiltonian of transverse lattice gauge theory to
compute from first principles the glueball spectrum and light-front
wavefunctions in the leading order of the 1/N_c colour expansion. We find
0^{++}, 2^{++}, and 1^{+-} glueballs having masses consistent with N_c=3 data
available from Euclidean lattice path integral methods. The wavefunctions
exhibit a light-front constituent gluon structure.Comment: 4 pages, 2 figures, uses macro boxedeps.tex, minor corrections in
revised versio
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