An Introduction to Lattice Quantum Chromodynamics by Nilmani Mathur

Explore an in-depth lecture on Lattice Quantum Chromodynamics (QCD) presented by Nilmani Mathur at the International Centre for Theoretical Sciences. Delve into the foundations of QCD, its lattice formulation, and numerical approaches used in this field. Learn about the particle zoo, Euclidean formulation, scalar theory, and the birth of Lattice QCD. Examine gauge actions, continuum limits, and various fermion formulations on the lattice. Discover Monte Carlo methods, rational hybrid algorithms, and techniques for calculating observables. Investigate hadronic mass generation, static quark potentials, and weak matrix elements. Explore applications of Lattice QCD in nuclear physics, cosmology, and dark matter research. Gain insights into the challenges, computational costs, and future prospects of lattice gauge theories. Conclude with an overview of the field's connections to other areas of physics and recommended books for further study.

Start
QCD
The particle Zoo
Euclidean Formulation
Scalar Theory
Birth of Lattice QCD
Lattice Formulation of QCD
Gauge Action
Continuum Limit
Fermions on the Lattice
Fermion Actions
Neilsen-Ninomiya No-Go Theorem
Wilson Fermions
Staggered Fermions
How to calculate an observable??
Statistical Evaluation -- Monte-Carlo Method
Rational Hybrid Monte Carlo Algorithm
Interpolating Fields
Quark Propagator
Analysis Extraction of Mass
Control of Sytemetics
hadronic mass generation
Predicting hadronic states
Rho decay
Static Quark Potential
SU3 Spectrum
Weak matrix elements
Forecasts for future errors in lattice-QCD calculations of selected quantities ---USQCD
Nuclear Physics from Lattice QCD
Lattice QCD and Cosmology-Astropysics
The Phases of QCD
QCD properties
Lattice QCD and Dark Matter
Topological Structure of QCD vacuum
Finite density
Challenges in lattice Gauge Theories
Cost of computation
'Clover' Gauge Generation Costs
Computing resources for LQCD
The road to exascale for Spectroscopy
Nuclear Physics Requires Exa-scale Computation
Connection of Lattice Field Theory to other fields
Outlook
Books
Q&A