Introduction to Lattice QCD

Abstract

These notes aim to provide a pedagogical introduction to Lattice QCD. The topics covered include the scope of LQCD calculations, lattice discretization of gauge and fermion (naive, Wilson, and staggered) actions, doubling problem, improved gauge and Dirac actions, confinement and strong coupling expansions, phase transitions in the lattice theory, lattice operators, a general discussion of statistical and systematic errors in simulations of LQCD, the analyses of the hadron spectrum, glueball masses, the strong coupling constant, and the quark masses.

Lectures given at the LXVIII Les Houches Summer School "Probing the Standard Model of Particle Interactions", July 28-Sept 5, 1997. 150 pages

Cited by in corpus (28)

• Multiquark Resonances
• Review of Lepton Universality tests in B decays
• Improved and Perfect Actions in Discrete Gravity
• Building the International Lattice Data Grid
• Matrix Elements of Electroweak Penguin Operators in the 1/Nc Expansion
• The Theory of Parity Violation in Few-Nucleon Systems
• Computational Physics on Graphics Processing Units
• Discrete Lagrangian field theories on Lie groupoids
• A condensed matter interpretation of SM fermions and gauge fields
• Extending the eigCG algorithm to nonsymmetric Lanczos for linear systems with multiple right-hand sides
• RMS and charge radii in a potential model
• Meson and Baryon Spectroscopy on a Lattice
• General Ether Theory
• Lattice Gauge Theories and the AdS/CFT Correspondence
• Gluon correlation functions from lattice quantum chromodynamics
• Linear Algebra with Disordered Sparse Matrices that have Spatial Structure: Theory and Computation
• Gauge fixing and BRST formalism in non-Abelian gauge theories
• Cutoff effects of Wilson fermions in the absence of spontaneous chiral symmetry breaking
• A Metric Theory of Gravity with Condensed Matter Interpretation
• A Fermion Doublet With Chiral Gauge Interaction On A Lattice
• Chiral corrections in electroweak processes with heavy mesons
• The Standard Model fermions as excitations of an ether
• Strange Quark Contribution to the Nucleon - (Dissertation)
• Dynamical fermions in lattice quantum chromodynamics
• Topology and chiral symmetry breaking in QCD
• A correspondence between standard model fermions and degrees of freedom of polycrystalline materials
• Non-leptonic B-decays in and beyond QCD Factorisation
• A Lattice Fermion Doublet With A Generalization Of The Ginsparg-Wilson Relation