A Modern Approach to Critical Phenomena
Critical phenomena is one of the most exciting areas of modern physics. This 2007 book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics.
- Has a straightforward and economic style of presentation allowing readers to quickly get to the essence of the material
- Includes a selection of topics including several not found in other books
- Contains fully solved and original problems
Reviews & endorsements
Review of the hardback: 'This relatively short and extremely well written book is what i would recommend to every graduate student in condensed matter physics as compulsory reading. …I am sure the students will appreciate its manageable size and conciseness, its crisp argumentation as well as its elegant and not overwhelming mathematical proofs.' Journal of Statistical Physics
Product details
April 2010Paperback
9780521142380
224 pages
244 × 170 × 12 mm
0.36kg
Available
Table of Contents
- Preface
- 1. Introduction
- 2. Ginzburg-Landau-Wilson theory
- 3. Renormalization group
- 4. Superconducting transition
- 5. Near lower critical dimension
- 6. Kosterlitz-Thouless transition
- 7. Duality in higher dimensions
- 8. Quantum phase transitions
- Appendix A. Hubbard-Stratonovich transformation
- Appendix B. Linked-cluster theorem
- Appendix C. Gauge fixing for long-range order
- Select bibliography
- Index.