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This book provides an overview of recent progress in computer
simulations of nonperturbative phenomena in quantum field theory,
particularly in the context of the lattice approach. It is a
collection of extensive self-contained reviews of various
subtopics, including algorithms, spectroscopy, finite temperature
physics, Yukawa and chiral theories, bounds on the Higgs meson
mass, the renormalization group, and weak decays of
hadrons.Physicists with some knowledge of lattice gauge ideas will
find this book a useful and interesting source of information on
the recent developments in the field.
This book provides an overview of recent progress in computer
simulations of nonperturbative phenomena in quantum field theory,
particularly in the context of the lattice approach. It is a
collection of extensive self-contained reviews of various
subtopics, including algorithms, spectroscopy, finite temperature
physics, Yukawa and chiral theories, bounds on the Higgs meson
mass, the renormalization group, and weak decays of
hadrons.Physicists with some knowledge of lattice gauge ideas will
find this book a useful and interesting source of information on
the recent developments in the field.
At a fundamental level, the interaction of quarks with gluon fields
lies at the heart of our understanding of the strong nuclear force.
Experimentally, however, we only observe physical hadrons such as
protons and pions. This book explores the fascinating physics
involved in the path between these contrasting pictures of the
world. Along the way, the book discusses symmetries, which play a
crucial role in understanding the parameters of the theory, and
details of the spectrum of physical particles.This would be the
first book to elaborate on the detailed connections between
confinement and chiral symmetry, with an emphasis on a unified
treatment of the non-perturbative nature of these phenomena. As
such, it should be a valuable title on any particle theorist's
bookshelf, containing extensive pedagogical material for scientists
at the graduate level and above.
This book introduces the lattice approach to quantum field theory.
The spectacular successes of this technique include compelling
evidence that exchange of gauge gluons can confine the quarks
within subnuclear matter. The lattice framework enables novel
schemes for quantitative calculation and has caused considerable
cross-disciplinary activity between elementary particle and solid
state physicists. The treatment begins with the lattice definition
of a path integral and ends on Monte Carlo simulation methods.
Other topics include invariant group integration, duality, mean
field theory and renormalization group techniques. The reader is
assumed to have a basic background in relativistic quantum
mechanics and some exposure to gauge theories.
This book introduces the lattice approach to quantum field theory.
The spectacular successes of this technique include compelling
evidence that exchange of gauge gluons can confine the quarks
within subnuclear matter. The lattice framework enables novel
schemes for quantitative calculation and has caused considerable
cross-disciplinary activity between elementary particle and solid
state physicists. The treatment begins with the lattice definition
of a path integral and ends on Monte Carlo simulation methods.
Other topics include invariant group integration, duality, mean
field theory and renormalization group techniques. The reader is
assumed to have a basic background in relativistic quantum
mechanics and some exposure to gauge theories.
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