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Quarks, Gluons and Lattices : Cambridge Monographs on Mathematical Physics - Michael Creutz

Quarks, Gluons and Lattices

Cambridge Monographs on Mathematical Physics

Paperback

Published: 26th August 1985
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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.

'The purpose of Mike Creutz's elegant book is to provide a gentle introduction to the basic results in lattice field theory. It succeeds admirably. Without drowning the reader in detail, sufficient background is given to make the book very readable and provide an easy route to the research literature. Enough examples of calculation are given to develop real confidence in manipulating gauge groups, group integrals, duality and all the other tools of the trade. I recommend the book in the strongest terms to all interested in the fundamental structure of nature and the surprises quantum field theory has in store.' Nature

Prefacep. vi
Quarks and gluonsp. 1
Latticesp. 5
Path integrals and statistical mechanicsp. 8
Scalar fieldsp. 14
Fermionsp. 20
Gauge fieldsp. 29
Lattice gauge theoryp. 34
Group integrationp. 39
Gauge-invariance and order parametersp. 51
Strong couplingp. 60
Weak couplingp. 77
Renormalization and the continuum limitp. 81
Asymptotic freedom and dimensional transmutationp. 88
Mean field theoryp. 94
The Hamiltonian approachp. 101
Discrete groups and dualityp. 108
Migdal-Kadanoff recursion relationsp. 117
Monte Carlo simulation I: the methodp. 127
Monte Carlo simulation II: measuring observablesp. 140
Beyond the Wilson actionp. 151
Referencesp. 162
Indexp. 167
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521315357
ISBN-10: 0521315352
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 176
Published: 26th August 1985
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.58 x 14.96  x 0.99
Weight (kg): 0.25