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These six lecture courses provide the background necessary in the understanding of the application of lattice methods to phenomenology, and give examples of interesting applications. The first three introduce the necessary techniques: chiral perturbation theory, heavy quark effective field theory, and lattice gauge theory. The remaining three describe how these techniques are used, mainly in lattice simulations, in the study of interesting phenomenological questions: vacuum structure, finite temperature QCD, and electroweak matrix elements. What distinguishes this volume from others is its focus on providing the background necessary for us to understand the methods and the significance of lattice gauge theory research.
The generalization of QCD from three to NC colors, developed in 1974 by Nobel laureate Gerard 't Hooft, has proved to be an extraordinarily useful and robust theoretical extension for studying the behavior of strong interaction physics. This book is the proceedings of the first-ever meeting exclusively devoted to large NC QCD. The workshop brought together representatives of many subdisciplines for a “meeting of minds” on topics ranging from finite temperature and density to the lattice, perturbative QCD, instantons, mesons, baryons, and nuclear physics. Beginning with 't Hooft's keynote presentation, the contributions are designed to introduce uses of large NC methods in each specialty to a broader particle physics audience.
With ever increasing computational resources and improvements in algorithms, new opportunities are emerging for lattice gauge theory to address key questions in strongly interacting systems, such as nuclear matter. Calculations today use dynamical gauge-field ensembles with degenerate light up/down quarks and the strange quark and it is possible now to consider including charm-quark degrees of freedom in the QCD vacuum. Pion masses and other sources of systematic error, such as finite-volume and discretization effects, are beginning to be quantified systematically. Altogether, an era of precision calculation has begun and many new observables will be calculated at the new computational facilities. The aim of this set of lectures is to provide graduate students with a grounding in the application of lattice gauge theory methods to strongly interacting systems and in particular to nuclear physics. A wide variety of topics are covered, including continuum field theory, lattice discretizations, hadron spectroscopy and structure, many-body systems, together with more topical lectures in nuclear physics aimed a providing a broad phenomenological background. Exercises to encourage hands-on experience with parallel computing and data analysis are included.
Numerical simulation of lattice-regulated QCD has become an important source of information about strong interactions. In the last few years there has been an explosion of techniques for performing ever more accurate studies on the properties of strongly interacting particles. Lattice predictions directly impact many areas of particle and nuclear physics theory and phenomenology.This book provides a thorough introduction to the specialized techniques needed to carry out numerical simulations of QCD: a description of lattice discretizations of fermions and gauge fields, methods for actually doing a simulation, descriptions of common strategies to connect simulation results to predictions of physical quantities, and a discussion of uncertainties in lattice simulations. More importantly, while lattice QCD is a well-defined field in its own right, it has many connections to continuum field theory and elementary particle physics phenomenology, which are carefully elucidated in this book./a /remove