Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2004-05-03
Physics
High Energy Physics
High Energy Physics - Lattice
37 pages, 16 figures, uses apsrev.bst
Scientific paper
We introduce the ``Sequential Empirical Bayes Method'', an adaptive constrained-curve fitting procedure for extracting reliable priors. These are then used in standard augmented-$\chi^2$ fits on separate data. This better stabilizes fits to lattice QCD overlap-fermion data at very low quark mass where {\it a priori} values are not otherwise known. Lessons learned (including caveats limiting the scope of the method) from studying artificial data are presented. As an illustration, from local-local two-point correlation functions, we obtain masses and spectral weights for ground and first-excited states of the pion, give preliminary fits for the $a_0$ where ghost states (a quenched artifact) must be dealt with, and elaborate on the details of fits of the Roper resonance and $S_{11}(N^{1/2-})$ previously presented elsewhere. The data are from overlap fermions on a quenched $16^3\times 28$ lattice with spatial size $La=3.2 {\rm fm}$ and pion mass as low as $\sim 180 {\rm MeV}$.
Chen Yafeng
Dong Shao-Jing
Draper Terrence
Horváth Ivan
Lee Frank X.
No associations
LandOfFree
The Sequential Empirical Bayes Method: An Adaptive Constrained-Curve Fitting Algorithm for Lattice QCD does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Sequential Empirical Bayes Method: An Adaptive Constrained-Curve Fitting Algorithm for Lattice QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Sequential Empirical Bayes Method: An Adaptive Constrained-Curve Fitting Algorithm for Lattice QCD will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-234843