Introduction to Statistical Field Theory

Informationen zum Autor Edouard Brézin is Honorary Professor of Physics at the Ecole Polytechnique, and Emeritus Professor at the Ecole Normale Supérieure (Paris). A former President of the French Academy of Sciences, he is also a Foreign Member of the National Academy of Sciences (USA), the American Academy of Arts and Sciences, the Royal Society, and Academia Europaea. Klappentext Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to statistical field theory. Zusammenfassung Written for advanced undergraduate and beginning graduate students! this textbook provides a concise introduction to statistical field theory. It deals directly with the loop expansion of the free energy! or background field method! avoiding long developments on field theory techniques. Inhaltsverzeichnis 1. A few well-known basic results; 2. Introduction: order parameters, broken symmetries; 3. Examples of physical situations modelled by the Ising model; 4. A few results about the Ising model; 5. High temperature and low temperature expansions; 6. Some geometric problems related to phase transitions; 7. Phenomenological description of the critical behaviour; 8. Mean field theory; 9. Beyond mean field theory; 10. Introduction to the renormalization group; 11. Renormalization group for the ¿4 theory; 12. Renormalized theory; 13. Goldstone modes; 14. Large n; Index.

Product details

• Authors: Edouard Br¿n, Edouard Brezin, Edouard (Ecole Normale Superieure Brezin, Edouard Brézin
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 22.07.2010
• EAN: 9780521193030
• ISBN: 978-0-521-19303-0
• No. of pages: 176
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics; SCIENCE / Physics / Mathematical & Computational, Mathematical physics, Statistical physics, Mathematical / Computational / Theoretical physics