{"product_id":"bosonization-and-strongly-correlated-systems-paperback-9780521617192","title":"Bosonization and Strongly Correlated Systems (Paperback) 9780521617192","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eBosonization and Strongly Correlated Systems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eDetailed account of important technique for researchers and graduate students working in condensed matter and theoretical physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAlexander O. Gogolin (Author), Alexander A. Nersesyan (Author), Alexei M. Tsvelik (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521617192, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 16 December 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e448 pages, 90 b\/w illus.  3 tables\u003cbr\u003e24.6 x 18.9 x 2.3 cm, 0.8 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis volume provides a detailed account of bosonization. This important technique represents one of the most powerful nonperturbative approaches to many-body systems currently available. The first part of the book examines the technical aspects of bosonization. Topics include one-dimensional fermions, the Gaussian model, the structure of Hilbert space in conformal theories, Bose-Einstein condensation in two dimensions, non-Abelian bosonization, and the Ising and WZNW models. The second part presents applications of the bosonization technique to realistic models including the Tomonaga-Luttinger liquid, spin liquids in one dimension and the spin-1\/2 Heisenberg chain with alternating exchange. The third part addresses the problems of quantum impurities. Chapters cover potential scattering, the X-ray edge problem, impurities in Tomonaga-Luttinger liquids and the multi-channel Kondo problem. This book will be an excellent reference for researchers and graduate students working in theoretical physics, condensed matter physics and field theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Acknowledgements\u003cbr\u003e Part I. Technical Aspects of Bosonization: 1. A simple case of Bose-Fermi equivalence: Jordan-Wigner transformation\u003cbr\u003e 2. One-dimensional fermions. States near the Fermi points\u003cbr\u003e 3. Gaussian model. Lagrangian formulation\u003cbr\u003e 4. Conformal symmetry and finite size effects\u003cbr\u003e 5. Virasoro algebra\u003cbr\u003e 6. Structure of Hilbert space in conformal theories\u003cbr\u003e 7. Current (Kac-Moody) algebras: the first assault\u003cbr\u003e 8. Relevant and irrelevant fields\u003cbr\u003e 9. Bose-Einstein condensation in two dimensions\u003cbr\u003e Beresinskii-Kosterlitz-Thouless transition\u003cbr\u003e 10. The sine-Gordon model\u003cbr\u003e 11. Spin S=1\/2 Heisenberg-Ising chain\u003cbr\u003e 12. Ising model\u003cbr\u003e 13. More about WZNW model\u003cbr\u003e 14. Non-Abelian bosonization\u003cbr\u003e Part II. Application of  the Bosonization Technique to Physical Models in (1+1)-Dimensions: 15. Interacting fermions with spin\u003cbr\u003e 16. Spin-1\/2 Tomonaga-Luttinger liquid\u003cbr\u003e 17. Instabilities of Tomonaga-Luttinger liquid\u003cbr\u003e 18. Interacting fermions with broken spin rotational symmetry\u003cbr\u003e 19. What happens with Tomonaga-Luttinger liquid in three dimensions\u003cbr\u003e 20. Two weakly coupled Tomonaga-Luttinger liquids\u003cbr\u003e spinless case\u003cbr\u003e 21. Spin liquids in one dimension: example of spin-ladders\u003cbr\u003e 22. Spin-1\/2 Heisenberg chain with alternating exchange\u003cbr\u003e 23. Superconductivity in a doped spin liquid\u003cbr\u003e 24. Edge states in quantum Hall effect\u003cbr\u003e Part III. Single Impurity Problems: 25. Potential scattering\u003cbr\u003e 26. X-ray edge problem (Fermi liquids)\u003cbr\u003e 27. Impurities in Tomonaga-Luttinger liquid\u003cbr\u003e 28. Multi-channel Kondo problem\u003cbr\u003e General Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Statistical physics [\u003ca title=\"See our other books on Statistical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Statistical%20physics%20%5BPHS%5D%22\"\u003ePHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005820227864,"sku":"9780521617192","price":46.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521617192i_7bc329b7-1e35-4d01-a428-9048536aec1e.jpg?v=1691370585","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/bosonization-and-strongly-correlated-systems-paperback-9780521617192","provider":"Freshly Printed Books","version":"1.0","type":"link"}