This book introduces the lattice approach to quantum field theory, which enables novel schemes for quantitative calculation in elementary particle and solid state physics. First published in 1983, this title has been reissued as an Open Access publication on Cambridge Core.
This book introduces the lattice approach to quantum field theory, which enables novel schemes for quantitative calculation in elementary particle and solid state physics. First published in 1983, this title has been reissued as an Open Access publication on Cambridge Core.
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.
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.
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