Quarks, Gluons and Lattices

Front Cover
Cambridge University Press, 1983 - Science - 169 pages
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Quarks and gluons
1
Lattices
5
Path integrals and statistical mechanics
8
Scalar fields
14
Fermions
20
Gauge fields
29
Lattice gauge theory
34
Group integration
39
Asymptotic freedom and dimensional transmutation
88
Mean field theory
94
The Hamiltonian approach
101
Discrete groups and duality
108
MigdalKadanoff recursion relations
117
Monte Carlo simulation I the method
127
Monte Carlo simulation II measuring observables
140
Beyond the Wilson action
151

Gaugeinvariance and order parameters
51
Strong coupling
60
Weak coupling
77
Renormalization and the continuum limit
81

Other editions - View all

Common terms and phrases

Bibliographic information