Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009
The book is based on the lectures delivered at the XCIII Session of the École de Physique des Houches, held in August, 2009. The aim of the event was to familiarize the new generation of PhD students and postdoctoral fellows with the principles and methods of modern lattice field theory, which aims to resolve fundamental, non-perturbative questions about QCD without uncontrolled approximations. The emphasis of the book is on the theoretical developments that have shaped the field in the last two decades and that have turned lattice gauge theory into a robust approach to the determination of low energy hadronic quantities and of fundamental parameters of the Standard Model. By way of introduction, the lectures begin by covering lattice theory basics, lattice renormalization and improvement, and the many faces of chirality. A later course introduces QCD at finite temperature and density. A broad view of lattice computation from the basics to recent developments was offered in a corresponding course. Extrapolations to physical quark masses and a framework for the parameterization of the low-energy physics by means of effective coupling constants is covered in a lecture on chiral perturbation theory. Heavy-quark effective theories, an essential tool for performing the relevant lattice calculations, is covered from its basics to recent advances. A number of shorter courses round out the book and broaden its purview. These included recent applications to the nucleon—nucleon interation and a course on physics beyond the Standard Model.
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1 Lattice field theory fundamentals
2 Renormalization and lattice artifacts
3 Three topics in renormalization and improvement
4 Chiral symmetry and lattice fermions
5 Lattice QCD at nonzero temperature and baryon density
6 Computational strategies in lattice QCD
implementation and data analysis
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algorithm anomaly Aoki axial current bosons calculation chiral condensate chiral Lagrangian chiral limit chiral symmetry ChPT coefficients computed consider continuum limit contribution correlation functions corresponding coupling CP violation decay defined density dependence derivative diagram dimension Dirac operator discussed divergence domain-wall effective theory energy equation Euclidean expansion expectation value factor field theory finite volume flavor gauge field gauge theory hadronic HQET integral interactions invariant isospin kaon Lagrangian lattice QCD lattice regularization lattice spacing Lett loop Lüscher massless matrix elements meson momenta momentum non-perturbative Nucl obtained parameters partition function perturbation theory phase transition Phys physical pion potential propagator pseudoscalar quantities quantum quark masses renormalizable renormalization scalar scale sea quarks Section simulations Standard Model static Symanzik tmQCD transformation valence vanishes vector Ward identities wave function Weyl fermion Wilson fermions zero ππ