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samedi 30 septembre 2023

Quantum Field Theory in Condensed Matter Physics 2nd Edition by Alexei M. Tsvelik in pdf

 Quantum Field Theory in Condensed Matter Physics 2nd Edition by  Alexei M. Tsvelik in pdf

this is the book Quantum Field Theory in Condensed Matter Physics 2nd Edition in pdf written  by  Alexei M. Tsvelik , published by cambridge ,2007  of professors of  science faculties  universities  .
Information about the book

Language of the book: English language

Book Title: Quantum Field Theory in Condensed Matter Physics 2nd Edition

Scriptwriter: by Alexei M. Tsvelik

Year of printing:   cambridge ,2007

File Format:PDF

Number of chapters: 

Number of pages: 380 pages

File Size: 50,90 MB


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

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