Introduces the lattice approach to quantum field theory - a technique that provides evidence that exchange of gauge gluons can confine the quarks within subnuclear matter. The reader is assumed to have a basic background in relativistic quantum mechanics and some exposure to gauge theories.

Résumé
This book provides a gentle introduction to the basic results in lattice field theory. The treatment begins with the lattice definition of a path integral and ends with Monte Carlo simulation methods. Other topics include invariant group integration, duality, mean field theory and renormalization group techniques.

Contenu
Preface; 1. Quarks and gluons; 2. Lattices; 3. Path integrals and statistical mechanics; 4. Scalar fields; 5. Fermions; 6. Gauge fields; 7. Lattice gauge theory; 8. Group integration; 9. Gauge-invariance and order parameters; 10. Strong coupling; 11. Weak coupling; 12. Renormalization and the continuum limit; 13. Asymptotic freedom and dimensional transmutation; 14. Mean field theory; 15. The Hamiltonian approach; 16. Discrete groups and duality; 17. Migdal-Kadanoff recursion relations; 18. Monte Carlo simulation I: the method; 19. Monte Carlo simulation II: measuring observables; 20. Beyond the Wilson action; References; Index.