Quantum Field Theory in Condensed Matter Physics
Autor Alexei M. Tsveliken Limba Engleză Paperback – 17 ian 2007
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Specificații
ISBN-13: 9780521529808
ISBN-10: 0521529808
Pagini: 380
Ilustrații: 99 b/w illus. 4 tables 17 exercises
Dimensiuni: 170 x 244 x 20 mm
Greutate: 0.6 kg
Ediția:Revizuită
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
ISBN-10: 0521529808
Pagini: 380
Ilustrații: 99 b/w illus. 4 tables 17 exercises
Dimensiuni: 170 x 244 x 20 mm
Greutate: 0.6 kg
Ediția:Revizuită
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom
Cuprins
Preface; Acknowledgements; Part I. Introduction to Methods: 1. QFT: language and goals; 2. Connection between quantum and classical: path integrals; 3. Definitions of correlation functions: Wick's theorem; 4. Free bosonic field in an external field; 5. Perturbation theory: Feynman diagrams; 6. Calculation methods for diagram series: divergences and their elimination; 7. Renormalization group procedures; 8. O(N)-symmetric vector model below the transition point; 9. Nonlinear sigma models in two dimensions: renormalization group and 1/N-expansion; 10. O(3) nonlinear sigma model in the strong coupling limit; Part II. Fermions: 11. Path integral and Wick's theorem for fermions; 12. Interaction electrons: the Fermi liquid; 13. Electrodynamics in metals; 14. Relativistic fermions: aspects of quantum electrodynamics; 15. Aharonov-Bohm effect and transmutation of statistics; Part III. Strongly Fluctuating Spin Systems: Introduction; 16. Schwinger-Wigner quantization procedure: nonlinear sigma models; 17. O(3) nonlinear sigma model in (2+1) dimensions: the phase diagram; 18. Order from disorder; 19. Jordan-Wigner transformations for spin S=1/2 models in D=1, 2, 3; 20. Majorana representation for spin S=1/2 magnets: relationship to Z2 lattice gauge theories; 21. Path integral representations for a doped antiferromagnet; Part IV. Physics in the World of One Spatial Dimension: Introduction; 22. Model of the free bosonic massless scalar field; 23. Relevant and irrelevant fields; 24. Kosterlitz-Thouless transition; 25. Conformal symmetry; 26. Virasoro algebra; 27. Differential equations for the correlation functions; 28. Ising model; 29. One-dimensional spinless fermions: Tomonaga-Luttinger liquid; 30. One-dimensional fermions with spin: spin-charge separation; 31. Kac-Moody algebras: Wess-Zumino-Novikov-Witten model; 32. Wess-Zumino-Novikov-Witten model in the Lagrangian form: non-Abelian bosonization; 33. Semiclassical approach to Wess-Zumino-Novikov-Witten models; 34. Integrable models: dynamical mass generation; 35. A comparative study of dynamical mass generation in one and three dimensions; 36. One-dimensional spin liquids: spin ladder and spin S=1 Heisenberg chain; 37. Kondo chain; 38. Gauge fixing in non-Abelian theories: (1+1)-dimensional quantum chromodynamics; Select bibliography; Index.
Recenzii
From reviews of the first edition: '… bridges the gap in the current research literature on low-dimensional electron and spin model systems … I expect my copy to become one of the more ratty items on my shelf.' Physics Today
'Throughout the whole book, the key concepts of QFT related to condensed matter physics are concisely introduced, with examples and excercises added at the end of the chapters when necessary and references listed for each chapter …' Materials Research Bulletin
'Throughout the whole book, the key concepts of QFT related to condensed matter physics are concisely introduced, with examples and excercises added at the end of the chapters when necessary and references listed for each chapter …' Materials Research Bulletin
Descriere
A new edition of a successful advanced text in condensed matter physics.