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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2023
Fachbereich: Atomphysik & Kernphysik
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Cambridge Monographs on Mathematical Physics
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781009290371
ISBN-10: 1009290371
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Creutz, Michael
Hersteller: Cambridge University Press
Cambridge Monographs on Mathematical Physics
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 223 x 147 x 12 mm
Von/Mit: Michael Creutz
Erscheinungsdatum: 16.02.2023
Gewicht: 0,254 kg
Artikel-ID: 125756301