Hadron physics is a broad topic. It will be divided in three parts: essentials, structure, and spectroscopy. Essentials (this unit) will cover aspects which are foundational and used in all hadron physics studies: hadronic interpolators, group theory, two point functions, use of translational invariance.
Units: Lattice Essentials, some Renormalization and Improvement, some Data Analysis for the exercises.
The hadron spectrum: stable particles and resonances.
Mention: isoQCD vs QCD. Why photons make trouble. What corrections to expect.
Recap: 2-point functions, masses/energies, amplitude.
Overview what matrix elements will be of interest.
Example: π → lν_l: ⟨Ω|A_μ|π(p)⟩ = i 2F_π p_μ. Matrix element from a 2-point function (1 → 0 process). Local operator, dimension, Lorentz-structure, normalization.
Differential cross sections at low and high momentum transfer and connection to form factors and structure functions. Inclusive vs. exclusive.
Charges: interaction with Dark Matter at small recoil. Decoupling of heavy flavours.
Recap: interpolators, parity, spin/helicity/chirality, quantum numbers, normalization of states, baryon spinors.
Charges from 3-pt functions in the forward limit (1 → 1 process).
INT Summer School on Problem Solving in Lattice QCD (2021)
INT Summer School on Lattice QCD for Nuclear Physics 2012 (many resources including James Zanotti on Hadron Structure)
Yong Zhao at Methods of Effective Field Theory and Lattice Field Theory 2021, Parton Distributions Functions, TMDs etc.
Meinulf Göckeler at Dubna Summer School 2011
Constantia Alexandrou introductory article 2011, Hadron Structure in Lattice QCD.
Arwed Schiller at Summer School on Lattice QCD for Beginners ECT* 1998, Introductory Lectures on the structure of the hadrons from the Lattice.