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Introduction to Statistical Field Theory

Introduction to Statistical Field Theory

Introduction to Statistical Field Theory

Edouard Brézin, Ecole Normale Supérieure, Paris
July 2010
Hardback
9780521193030
$104.00
USD
Hardback
USD
eBook

    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.

    • A concise introduction to a subject which remains central in condensed matter physics as well as particle physics
    • Deals directly with the loop expansion of the free energy, avoiding long developments on field theory techniques
    • Written by one of the most distinguished theoretical physicists alive today

    Reviews & endorsements

    '… 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

    '… the author 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.' Nenad Manojlovic, Zentralblatt MATH

    See more reviews

    Product details

    July 2010
    Adobe eBook Reader
    9780511784361
    0 pages
    0kg
    28 b/w illus.
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    Table of Contents

    • 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 φ4 theory
    • 12. Renormalized theory
    • 13. Goldstone modes
    • 14. Large n
    • Index.
      Author
    • Edouard Brézin , Ecole Normale Supérieure, Paris

      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.