Quantum Field Theory in Condensed Matter Physics - Rilegato

Tsvelik, Alexei M.

Rilegato

ISBN 10: 0521454670 ISBN 13: 9780521454674

Casa editrice: Cambridge University Press, 1995

Riassunto

This book provides a self-contained introduction to the basic tools and concepts of quantum field theory, and goes on to demonstrate their use in a range of topics in statistical mechanics and condensed matter physics. The first part of the book outlines the key methods of quantum field theory, including path integrals, Feynman diagrams, and renormalization. These are then applied to such topics as electrodynamics in metals, relativistic fermions and the Aharonov-Bohm effect. The rest of the book is dedicated to the use of non-perturbative techniques, and deals with strongly fluctuating spin systems, conformal symmetry and Kondo chains, as well as a number of related problems. The book will be useful to graduate students and established researchers in condensed matter physics and statistical mechanics, and to anyone with an interest in the modern techniques of quantum field theory.

Su questo libro

Descrizione del libro:

This book provides a self-contained introduction to the basic tools and concepts of quantum field theory, and goes on to demonstrate their use in a range of topics in statistical mechanics and condensed matter physics, such as strongly correlated systems and conformal symmetry.

Contenuti:

Part I. Introduction to Methods: 1. QFT - language and goals; 2. Path integral; 3. Definitions of correlation functions. Wick's theorem; 4. Free bosonic field in external field; 5. Perturbation theory. Feynman diagrams; 6. Methods of calculation of diagram series; 7. Renormalization group procedures; 8. O(N)-symmetric vector model below the transition point; 9. Non-linear sigma models in two dimensions; 10. O(3)-nonlinear sigma model in the strong coupling limit; Part II. Fermions: 11. Path integrals and Wick's theorem for fermions; 12. Electrodynamics in metals; 13. Relativistic fermions; 14. Aharonov-Bohm effect and transmutation of statistics in (2 + 1) dimensions; Part III. Strongly Fluctuating Spin Systems: 15. Schwinger-Wigner quantization procedure; 16. O(3)-nonlinear sigma model in (2 + 1) dimensions; 17. Order from disorder; 18. Jordan–Wigner transformation for spin S = 1/2 models in D = 1, 2, 3; 19. Majorana representation for spin S = 1/2 magnets; 20. Path integral representations; Part IV. Physics in the World of One Spatial Dimension: 21. The model of free bosonic massless scalar field; 22. Relevant and irrelevant fields; 23. Kosterlitz-Thouless transition; 24. Conformal symmetry; 25. Definition of conformal invariance; 26. Ising model; 27. Spin S = 1/2 Heisenberg chain; 28. One dimensional fermions with spin; 29. Non-Abelian bosonization, Katz-Moody algebras, Wess-Zumino-Witten model; 30. Wess-Zumino-Witten model in the Lagrangian form; 31. (1 + 1) dimensional quantum chromodynamics; 32. Spin S = 1 Heisenberg chain; 33. Kondo chain; 34. Conformal theory cookbook; 35. Conclusion.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1995
• ISBN 10: 0521454670
• ISBN 13: 9780521454674
• Rilegatura: Copertina rigida
• Numero di pagine: 348