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|Kelly2010.pdf||PhD thesis||2.67 MB||Adobe PDF||View/Open|
|Title: ||Continuum results for light hadrons from 2+1 flavour Domain Wall QCD|
|Authors: ||Kelly, Christopher|
|Supervisor(s): ||Boyle, Peter|
|Issue Date: ||2010|
|Publisher: ||The University of Edinburgh|
|Abstract: ||This thesis presents a first study of the continuum limit of light hadronic physics
using a lattice gauge theory simulation with good chiral symmetry. The results are
interpreted and extrapolated using both the chiral effective theory and analytic models.
Matrix elements of operators of the effective weak Hamiltonian are calculated.
The thesis details a combined chiral and continuum extrapolation of two ensemble
sets of 2+1 flavour Domain Wall QCD data with inverse lattice spacings around 1.73
and 2.32 GeV. A novel procedure of matching lattice data at unphysical quark masses
is used to define the scaling trajectory to the continuum limit.
Quantities studied include the pion and kaon masses and decay constants, the
average up/down quark mass, the strange quark mass, and the neutral kaon mixing
parameter BK. The latter is an important theoretical input to the K band in the
unitarity triangle of the CKM matrix. A subset of recent results of ref.  in the chiral
effective theory needed to perform our fits are re-derived.
New methods for the improved determination of the BK matrix element (and
other correlation functions), and also for the renormalisation of the relevant four-quark
operator for BK are presented.|
|Keywords: ||lattice QCD|
light hadronic physics
|Appears in Collections:||Physics thesis and dissertation collection|
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