Quarks, Gluons and Lattices (Cambridge Monographs on Mathematical Physics)
Cambridge University Press
Edition: Reprint, 6/27/1985
EAN 9780521315357, ISBN10: 0521315352
Paperback, 178 pages, 22.9 x 15.2 x 1.1 cm
Language: English
Originally published in English
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.
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.
'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