Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory

Claude Itzykson, Jean-Michel Drouffe

ISBN 10: 0521340586 / ISBN 13: 9780521340588

Edité par Cambridge University Press, 1989

A propos de cet article

Zustand: Gut | Seiten: 432 | Sprache: Englisch | Produktart: Bücher.

N° de réf. du vendeur 25464714/203

Détails bibliographiques

• Titre: Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory
• Éditeur: Cambridge University Press
• Date de parution: 1989
• Langue: anglais
• ISBN à 10 chiffres: 0521340586
• ISBN à 13 chiffres: 9780521340588
• Reliure: Couverture rigide
• État de l'article: Gut

A propos de ce titre

Synopsis

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.

Présentation de l'éditeur

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.