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A lattice QCD study of nucleon structure with physical quark masses / von M.Sc. Nasreen Hasan. 2019
Inhalt
Introduction: Nucleon structure
Nucleon charges
Nucleon form factors
Proton radius puzzle
Proton spin puzzle
Nucleon structure on the lattice
Nucleon field
Nucleon correlation functions
Two-point correlation function
Three-point correlation function
Smearing of quark fields
Computation of matrix elements
Ratio method
Summation method
Nucleon form factors and radii
Extraction of nucleon form factors
Extraction of nucleon radii using z expansion
Renormalization in lattice QCD
Rome-Southampton method
Nucleon axial, scalar, and tensor charges
Lattice setup
Correlation functions
Simulation details
Fitting two-point functions
Estimation of bare charges
Ratio method
Summation method
Two-state fit of the ratio
Combining different analyses
Nonperturbative renormalization
Vector current
Axial, scalar, and tensor bilinears
Renormalized charges
Summary and outlook
Computing the nucleon charge and axial radii directly at Q2=0
The derivative method
Momentum derivatives of quark propagator
Flavor structure of correlators constructed from propagator derivatives
Momentum derivatives of correlation functions
Momentum derivatives of matrix elements
Results
Results from the fine ensemble
Results from the coarse ensemble
Numerical results
Summary and outlook
Up, down, and strange nucleon axial form factors
Lattice methodology
Lattice ensemble and calculation setup
Effectiveness of hierarchical probing
Excited-state effects
Form factor fits using the z expansion
Renormalization
Vector current renormalization
Study of discretization effects
Matching to MS and running of the singlet axial current
Renormalization of the axial current: Nf = 2+1
Volume-source approach and reuse of disconnected diagrams
Results
Axial form factors
GA form factors
Quark spin contributions
GP form factors
Discussion and conclusions
Summary