A lattice QCD study of nucleon structure with physical quark masses / von M.Sc. Nasreen Hasan. 2019
Content
Introduction: Nucleon structure
Nucleon structure on the lattice
Nucleon field
Nucleon correlation functions
Smearing of quark fields
Computation of matrix elements
Nucleon form factors and radii
Renormalization in lattice QCD
Nucleon axial, scalar, and tensor charges
Lattice setup
Estimation of bare charges
Nonperturbative renormalization
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
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
Discussion and conclusions
Summary