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Precision physics from the lattice : calculation of the hadron spectrum, quark masses and kaon bag parameter / Autor: Thorsten Kurth. 2011
Inhalt
Introduction
Theoretical Overview
The standard model
Quantum field theoretical formulation of QCD and renormalization
Chiral symmetry
Quantum theory of QCD
Topology
Renormalization
Chiral perturbation theory
Neutral kaon mixing and bag parameter BK
Lattice discretization of QCD
Actions
Topological charge
Smearing
Algorithms
Error treatment
Spectroscopy
The ratio-difference-method
Matrix elements of four-fermion operators on the lattice
Non-perturbative renormalization
Three-point function WI method
Regularization independent scheme
Improvement techniques for RI renormalization factors
Some remarks on perturbative renormalization
Scaling and stability tests
Stability and locality of smeared actions
Absence of unphyisical meta-stabilities
Mass-gap, topology and plaquette expectation values
Scaling tests
Scaling of Nf=3 hadron masses
Scaling of quenched quark masses
Scaling of quenched kaon bag parameter BK
Finite volume effects
Chiral behaviour
Summary and conclusions
Physical quantities from 2+1 dynamical flavours
Hadron spectrum
Details of the simulations
Approaching the physical mass point and the continuum limit
Analysis of statistical and systematic errors
Results and discussion
Quark masses
Simulation details and scale setting
Non-perturbative renormalization of quark masses
Removing the degeneracy from mud
Treatment of statistical and systematic errors
Summary
Kaon bag parameter BK
Non-perturbative renormalization
Matrix elements
Final analysis
Summary and Discussion
Summary and Outlook
Notation
The Sommer parameter r0
Gauge fixing
Remarks on diagrammatic K0-0 mixing
Calculations and proofs for lattice techniques
Chain rule for Lie-derivatives
Analyticity of HEX smearing
Random sources
Bibliography