Edouard Brezin

Introduction to Statistical Field Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

Knowledge of the renormalization group and field theory is a key part of physics, and is essential in condensed matter and particle physics. Written for advanced undergraduate and beginning graduate students, this textbook provides a concise introduction to this subject. The textbook deals directly with the loop expansion of the free energy, also known as the background field method. This is a powerful method, especially when dealing with symmetries, and statistical mechanics. In focussing on free energy, the author avoids long developments on field theory techniques. The necessity of renormalization then follows.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 22. Juli 2010
• Englisch
• ISBN-13: 9780511784361
• Artikelnr.: 38214312

Autorenporträt

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.

Inhaltsangabe

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 phi4 theory; 12. Renormalized theory; 13. Goldstone modes; 14. Large n; Index.

Rezensionen

'... a concise but clear introduction to this now-classic material. ... a magisterial introduction to the subject ... an excellent example of what such lectures should be: fast-paced, succinct and clear ... an excellent concise treatment of the modern theory of phase transitions and the renormalisation group by an expert in the field.' Contemporary Physics