Quarks, Gluons and Lattices /
Creutz, Michael
Quarks, Gluons and Lattices / Michael Creutz - Cambridge: Cambridge; ©2022 - vi, 169p. - Cambridge Monographs on Mathematical Physics .
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
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.
Provides a gentle introduction to the basic results in lattice field theory
Gives examples of calculations to build confidence in manipulating gauge groups, group integrals, duality and so on
This title has been reissued as an Open Access publication on Cambridge Core
9781009290371
Theoretical Physics
Quantum Field Theory
Solid-State Physics
Quantum Chromodynamics
Renormalization Group
530.1 / CreQ
Quarks, Gluons and Lattices / Michael Creutz - Cambridge: Cambridge; ©2022 - vi, 169p. - Cambridge Monographs on Mathematical Physics .
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
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.
Provides a gentle introduction to the basic results in lattice field theory
Gives examples of calculations to build confidence in manipulating gauge groups, group integrals, duality and so on
This title has been reissued as an Open Access publication on Cambridge Core
9781009290371
Theoretical Physics
Quantum Field Theory
Solid-State Physics
Quantum Chromodynamics
Renormalization Group
530.1 / CreQ