In this unit you will learn about perturbative and non-perturbative renormalization, Wilsonian renormalization group, effective field theories, Symanzik effective field theory and chiral symmetry.
A background in QFT is required. Ideally with a background on functional formalism and an introduction to lattice QCD (Essentials).
Renormalization group equations, Physical quantities, Λ–parameter and RGI masses, (The MS lattice coupling), Renormalization of composite operators, Ward identities, Scale dependent renormalization, Anomalies, Operator product expansions
Lattice spacing determination. Sommer parameter. Few specific examples.
Sample calculation. Fermion self-energy and critical mass at 1-loop. Gluon self-energy at 1-loop. Operator mixing on the lattice. Breaking of chiral and hyper-cubic symmetry
Ward identities with Wilson fermions. Examples for determination of ZA,ZV,...
Periodic boundary conditions. Dirichlet boundary conditions
Lattice spacing determination. Effective fields definition. Power divergences
Free field theory, effective action, logarithmic corrections, improved gauge theory
Effective fields, improvement conditions, examples of determination of csw, ca, cv
GW actions (perfect, Neuberger, DW), CI improved actions, twisted mass