Heatlie, Grant James (1990) Aspects of phenomenology from lattice QCD. University of Southampton, Doctoral Thesis.
Abstract
We present an improvement procedure to lattice quantum chromodynamics which eliminates all terms effectively in order a (a is the lattice spacing) from the computation of hadronic matrix elements with Wilson fermions. This method is based on an `improved' Wilson action combined with a suitable modification of the fermion operators. It is expected that this technique will significantly reduce the systematic errors associated with the finiteness of the lattice spacing. With the Wilson action these errors have been found to be around 20- 30%. We hope to have reduced these systematic errors to just a few percent. In the last two chapters, we study the semi-leptonic decays of strange K mesons using the standard Wilson lattice action. The lattice conserved current is employed to compute the form factors fo and f+ at q2 = 0. These are found to be in good agreement with experiment. Nearest pole dominance gives a good description of the form factors. Computations are carried out on a 20 x 10 x 10 x 40 lattice at β= 6.0 in the quenched approximation.
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