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Author Creutz, Michael, 1944-

Title Quarks, gluons, and lattices / Michael Creutz.

Publication Info. Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 2022.

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 University of Saint Joseph: Pope Pius XII Library - Internet  WORLD WIDE WEB E-BOOK CAMBRIDGE    Downloadable
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Description 1 online resource (vi, 172 pages) : illustrations.
Series Cambridge monographs on mathematical physics
Cambridge monographs on mathematical physics.
Bibliography Includes bibliographical references (pages 162-166) and index.
Contents Quarks and gluons -- Lattices -- Path integrals and statistical mechanics -- Scalar fields -- Fermions -- Gauge fields -- Lattice gauge theory -- Group integration -- Gauge-invariance and order parameters -- Strong coupling -- Weak coupling -- Renormalization and the continuum limit -- Asymptotic freedom and dimensional transmutation -- Mean field theory -- The Hamiltonian approach -- Discrete groups and duality -- Migdal-Kadanoff recursion relations -- Monte Carlo simulation I: the method -- Monte Carlo simulation II: measuring observables -- Beyond the Wilson action.
Summary 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.
Local Note Cambridge University Press Cambridge Open Access Books and Elements
Subject Field theory (Physics)
Lattice theory.
Gauge fields (Physics)
Particles (Nuclear physics)
Field theory (Physics) (OCoLC)fst00923918
Gauge fields (Physics) (OCoLC)fst00938995
Lattice theory. (OCoLC)fst00993426
Particles (Nuclear physics) (OCoLC)fst01054130
ISBN 9781009290395
1009290398
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