62 research outputs found
Vector meson form factors and their quark-mass dependence
The electromagnetic form factors of vector mesons are calculated in an
explicitly Poincar\'e covariant formulation, based on the Dyson--Schwinger
equations of QCD, that respects electromagnetic current conservation, and
unambiguously incorporates effects from vector meson poles in the quark-photon
vertex. This method incorporates a 2-parameter effective interaction, where the
parameters are constrained by the experimental values of chiral condensate and
. This approach has successfully described a large amount of
light-quark meson experimental data, e.g. ground state pseudoscalar masses and
their electromagnetic form factors; ground state vector meson masses and strong
and electroweak decays. Here we apply it to predict the electromagnetic
properties of vector mesons. The results for the static properties of the
-meson are: charge radius , magnetic
moment , and quadrupole moment . We investigate
the quark mass dependence of these static properties and find that our results
at the charm quark mass are in agreement with recent lattice simulations. The
charge radius decreases with increasing quark mass, but the magnetic moment is
almost independent of the quark mass.Comment: 13 pages, 7 figure
Model Selection and Adaptive Markov chain Monte Carlo for Bayesian Cointegrated VAR model
This paper develops a matrix-variate adaptive Markov chain Monte Carlo (MCMC)
methodology for Bayesian Cointegrated Vector Auto Regressions (CVAR). We
replace the popular approach to sampling Bayesian CVAR models, involving griddy
Gibbs, with an automated efficient alternative, based on the Adaptive
Metropolis algorithm of Roberts and Rosenthal, (2009). Developing the adaptive
MCMC framework for Bayesian CVAR models allows for efficient estimation of
posterior parameters in significantly higher dimensional CVAR series than
previously possible with existing griddy Gibbs samplers. For a n-dimensional
CVAR series, the matrix-variate posterior is in dimension , with
significant correlation present between the blocks of matrix random variables.
We also treat the rank of the CVAR model as a random variable and perform joint
inference on the rank and model parameters. This is achieved with a Bayesian
posterior distribution defined over both the rank and the CVAR model
parameters, and inference is made via Bayes Factor analysis of rank.
Practically the adaptive sampler also aids in the development of automated
Bayesian cointegration models for algorithmic trading systems considering
instruments made up of several assets, such as currency baskets. Previously the
literature on financial applications of CVAR trading models typically only
considers pairs trading (n=2) due to the computational cost of the griddy
Gibbs. We are able to extend under our adaptive framework to and
demonstrate an example with n = 10, resulting in a posterior distribution with
parameters up to dimension 310. By also considering the rank as a random
quantity we can ensure our resulting trading models are able to adjust to
potentially time varying market conditions in a coherent statistical framework.Comment: to appear journal Bayesian Analysi
Bayesian Cointegrated Vector Autoregression models incorporating Alpha-stable noise for inter-day price movements via Approximate Bayesian Computation
We consider a statistical model for pairs of traded assets, based on a
Cointegrated Vector Auto Regression (CVAR) Model. We extend standard CVAR
models to incorporate estimation of model parameters in the presence of price
series level shifts which are not accurately modeled in the standard Gaussian
error correction model (ECM) framework. This involves developing a novel matrix
variate Bayesian CVAR mixture model comprised of Gaussian errors intra-day and
Alpha-stable errors inter-day in the ECM framework. To achieve this we derive a
novel conjugate posterior model for the Scaled Mixtures of Normals (SMiN CVAR)
representation of Alpha-stable inter-day innovations. These results are
generalized to asymmetric models for the innovation noise at inter-day
boundaries allowing for skewed Alpha-stable models.
Our proposed model and sampling methodology is general, incorporating the
current literature on Gaussian models as a special subclass and also allowing
for price series level shifts either at random estimated time points or known a
priori time points. We focus analysis on regularly observed non-Gaussian level
shifts that can have significant effect on estimation performance in
statistical models failing to account for such level shifts, such as at the
close and open of markets. We compare the estimation accuracy of our model and
estimation approach to standard frequentist and Bayesian procedures for CVAR
models when non-Gaussian price series level shifts are present in the
individual series, such as inter-day boundaries. We fit a bi-variate
Alpha-stable model to the inter-day jumps and model the effect of such jumps on
estimation of matrix-variate CVAR model parameters using the likelihood based
Johansen procedure and a Bayesian estimation. We illustrate our model and the
corresponding estimation procedures we develop on both synthetic and actual
data.Comment: 30 page
Scaling analysis of FLIC fermion actions
The Fat Link Irrelevant Clover (FLIC) fermion action is a variant of the
-improved Wilson action where the irrelevant operators are constructed
using smeared links. While the use of such smearing allows for the use of
highly improved definitions of the field strength tensor we show
that the standard 1-loop clover term with a mean field improved coefficient
is sufficient to remove the errors, avoiding the need for
non-perturbative tuning. This result enables efficient dynamical simulations in
QCD with the FLIC fermion action.Comment: 5 pages, 3 figure
Pseudoscalar and vector meson form factors from lattice QCD
We present a study of the pseudoscalar and vector meson form factors,
calculated using the Fat-Link Irrelevant Clover (FLIC) action in the framework
of Quenched Lattice QCD. Of particular interest is the determination of a
negative quadrupole moment, indicating that the meson is not spherically
symmetric.Comment: 11 pages, 15 figures, 9 table
Isolating the Roper Resonance in Lattice QCD
We present results for the first positive parity excited state of the
nucleon, namely, the Roper resonance (=1440 MeV) from a
variational analysis technique. The analysis is performed for pion masses as
low as 224 MeV in quenched QCD with the FLIC fermion action. A wide variety of
smeared-smeared correlation functions are used to construct correlation
matrices. This is done in order to find a suitable basis of operators for the
variational analysis such that eigenstates of the QCD Hamiltonian may be
isolated. A lower lying Roper state is observed that approaches the physical
Roper state.
To the best of our knowledge, the first time this state has been identified
at light quark masses using a variational approach.Comment: 7pp, 4 figures; minor typos corrected and one Ref. adde
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