15,045 research outputs found
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
Gap bootstrap methods for massive data sets with an application to transportation engineering
In this paper we describe two bootstrap methods for massive data sets. Naive
applications of common resampling methodology are often impractical for massive
data sets due to computational burden and due to complex patterns of
inhomogeneity. In contrast, the proposed methods exploit certain structural
properties of a large class of massive data sets to break up the original
problem into a set of simpler subproblems, solve each subproblem separately
where the data exhibit approximate uniformity and where computational
complexity can be reduced to a manageable level, and then combine the results
through certain analytical considerations. The validity of the proposed methods
is proved and their finite sample properties are studied through a moderately
large simulation study. The methodology is illustrated with a real data example
from Transportation Engineering, which motivated the development of the
proposed methods.Comment: Published in at http://dx.doi.org/10.1214/12-AOAS587 the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
A Hierarchical Spatio-Temporal Statistical Model Motivated by Glaciology
In this paper, we extend and analyze a Bayesian hierarchical spatio-temporal
model for physical systems. A novelty is to model the discrepancy between the
output of a computer simulator for a physical process and the actual process
values with a multivariate random walk. For computational efficiency, linear
algebra for bandwidth limited matrices is utilized, and first-order emulator
inference allows for the fast emulation of a numerical partial differential
equation (PDE) solver. A test scenario from a physical system motivated by
glaciology is used to examine the speed and accuracy of the computational
methods used, in addition to the viability of modeling assumptions. We conclude
by discussing how the model and associated methodology can be applied in other
physical contexts besides glaciology.Comment: Revision accepted for publication by the Journal of Agricultural,
Biological, and Environmental Statistic
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