Direct evaluation of parton distribution functions of the nucleon from lattice QCD / Aurora Scapellato. Wuppertal, May 2019
Inhalt
- Contents
- List of Figures
- List of Tables
- 1 Introduction
- 2 Parton physics
- 2.1 Elastic scattering
- 2.2 Inelastic scattering
- 2.3 Parton Model
- 2.3.1 OPE analysis and light-cone dominance
- 2.3.2 Definition of parton distributions
- 2.3.3 Moments of PDFs and sum rules
- 2.4 Obtaining parton distributions
- 3 Lattice QCD and parton physics in Euclidean space
- 3.1 Introduction to QCD
- 3.2 Lattice QCD approach
- 3.3 Standard discretization schemes
- 3.4 Improved discretization schemes
- 3.5 Computing observables in lattice QCD
- 3.6 Quasi-distributions on a Euclidean space-time
- 4 Nucleon correlation functions on the lattice
- 4.1 Nucleon field
- 4.2 Nucleon two-point functions
- 4.3 Nucleon three-point functions
- 4.4 Nucleon matrix elements
- 4.5 Quark propagator
- 4.6 Smearing techniques
- 5 Bare matrix elements for quark distribution functions
- 5.1 Lattice setup
- 5.1.1 Nf=2 physical point ensemble
- 5.1.2 Definition of operators
- 5.1.3 Improvement with momentum smearing
- 5.1.4 Choosing the optimal setup
- 5.2 Lattice results at the largest source-sink separation
- 5.2.1 Matrix elements with stout smearing
- 5.2.2 Momentum dependence
- 5.2.3 Unpolarized matrix elements: choice of the Dirac structure
- 5.3 Lattice results for excited states analysis
- 5.3.1 The method
- 5.3.2 Two-point function analysis
- 5.3.3 Matrix elements for the unpolarized PDFs
- 5.3.4 Matrix elements for the helicity PDFs
- 5.3.5 Matrix elements for the transversity PDFs
- 5.4 Computational cost of simulations
- 6 Renormalization of matrix elements
- 6.1 The method
- 6.2 Lattice results for renormalization functions
- 6.3 Renormalized matrix elements
- 6.4 Renormalized matrix elements with stout smearing
- 7 Physical Quark distributions
- 7.1 Matching to light-cone PDFs
- 7.2 Dependence on the pion mass
- 7.3 Quark unpolarized distributions
- 7.4 Quark helicity distributions
- 7.5 Quark transversity distributions
- 8 Conclusions and Outlook
- Bibliography
- Appendix A