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Statistical Field Theory

Statistical Field Theory

Statistical Field Theory

Volume 1: From Brownian Motion to Renormalization and Lattice Gauge Theory
Claude Itzykson, Centre Commissariat à l'Energie Atomique (CEA), Saclay
Jean-Michel Drouffe, Centre Commissariat à l'Energie Atomique (CEA), Saclay
March 1991
1. From Brownian Motion to Renormalization and Lattice Gauge Theory
Paperback
9780521408059
$98.00
USD
Paperback

    A comprehensive and timely survey of the application of the methods of quantum field theory to statistical physics, a very active and fruitful area of modern research, is provided in two volumes. The first volume provides a pedagogical introduction to the subject, discussing Brownian motion, its anticommutative counterpart in the guise of Onsager's solution to the two-dimensional Ising model, the mean field or Landau approximation, scaling ideas exemplified by the Kosterlitz-Thouless theory for the XY transition, the continuous renormalization group applied to the standard phi-to-the-fourth theory (the simplest typical case) and lattice gauge theory as a pathway to the understanding of quark confinement in quantum chromodynamics.

    • This is an extremely topical book, with high sales potential (as already proved by sales of hardcover)
    • Itzykson is the author of the best selling quantum field theory book of all time (Itzykson and Zhuber: Quantum Field Theory, McGraw Hill, 1980)

    Reviews & endorsements

    "I strongly recommend these two volumes to anyone from intermediate graduate students to active experienced researchers to aging veterans who need to be reminded of or learn for the first time the broad conceptual framework underlying the many current applications of field theoretic methods." Paul Ginsparg, Foundations of Physics

    "...an excellent pedagogically oriented introduction to the essential fundamentals of this rapidly expanding field. The level of treatment and clarity make it suitable for use as a primary reference in a graduate course." D. J. Geldart, Physics in Canada

    See more reviews

    Product details

    March 1991
    Paperback
    9780521408059
    428 pages
    227 × 152 × 23 mm
    0.582kg
    Available

    Table of Contents

    • 1. From Brownian motion to Euclidean fields
    • 2. Grassmannian integrals and two-dimensional Ising models
    • 3. Spontaneous symmetry breaking
    • 4. Scaling transformations and the XY-model
    • 5. Continuous field theory and the renormalization group
    • 6. Lattice gauge fields.
      Authors
    • Claude Itzykson , Centre Commissariat à l'Energie Atomique (CEA), Saclay
    • Jean-Michel Drouffe , Centre Commissariat à l'Energie Atomique (CEA), Saclay