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

Itzykson, Claude; Drouffe, Jean-Michel

 
9780521340588: Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory
Couverture rigide
ISBN 10 : 0521340586 ISBN 13 : 9780521340588
Editeur : Cambridge University Press, 1989

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

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.

Revue de presse

"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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1989
Langue
anglais
ISBN 10 
0521340586
ISBN 13 
9780521340588
Reliure
Relié
Nombre de pages
432
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
France

Autres éditions populaires du même titre

9780521408059: Statistical Field Theory: Volume 1, From Brownian Motion to Renormalization and Lattice Gauge Theory

Edition présentée

ISBN 10 :  0521408059 ISBN 13 :  9780521408059
Editeur : Cambridge University Press, 1991
Couverture souple