Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory
Series: Cambridge Monographs on Mathematical Physics;
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Product details:
- Edition number and title From Brownian Motion to Renormalization and Lattice Gauge Theory v.1
- Edition number New ed
- Publisher Cambridge University Press
- Date of Publication 29 March 1991
- ISBN 9780521408059
- Binding Paperback
- No. of pages428 pages
- Size 227x152x23 mm
- Weight 582 g
- Language English 0
Categories
Short description:
This two-volume work provides 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.
MoreLong description:
Volume 1: From Brownian Motion to Renormalization and Lattice Gauge Theory. Volume 2: Strong Coupling, Monte Carlo Methods, Conformal Field Theory, and Random Systems. This two-volume work provides 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. 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. The second volume covers more diverse topics, including strong coupling expansions and their analysis, Monte Carlo simulations, two-dimensional conformal field theory, and simple disordered systems. The book concludes with a chapter on random geometry and the Polyakov model of random surfaces which illustrates the relations between string theory and statistical physics. The two volumes that make up this work will be useful to theoretical physicists and applied mathematicians who are interested in the exciting developments which have resulted from the synthesis of field theory and statistical physics.
"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
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.
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