Quarks, Gluons and Lattices

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.

List of contents

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.

Product details

• Authors: Michael Creutz, Creutz Michael
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 01.03.2023
• EAN: 9781009290371
• ISBN: 978-1-0-0929037-1
• No. of pages: 176
• Series: Cambridge Monographs on Mathematical Physics; Cambridge Monographs on Mathem
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Atomic physics, nuclear physics; Particle & high-energy physics, Particle and high-energy physics, SCIENCE / Physics / Particle