Statistical field theory: from Brownian motion to renormalization and lattice gauge theory, Vol. 1
Series: Cambridge monographs on mathematical physicsPublication details: Cambridge University Press, 1989. Cambridge:Description: xvi, 403 p.; pb; 23 cmISBN:- 9780521408059
- 530.13 ITZ
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IIT Gandhinagar General Stacks | General | 530.13 ITZ (Browse shelf(Opens below)) | 1 | Available | 029482 |
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530.1201514 PAC Introduction to topological quantum computation | 530.1201516 VAR Geometry of quantum theory | 530.13 GIB Elementary principles in statistical mechanics | 530.13 ITZ Statistical field theory: from Brownian motion to renormalization and lattice gauge theory, Vol. 1 | 530.13 KAR Statistical physics of particles | 530.13 PAT Statistical mechanics | 530.133 BOG Introduction to quantum statistical mechanics |
Includes bibliographies and indexes.
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.
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