Statistical Field Theory Volume 2 Strong Coupling Monte Carlo Methods Conformal Field Theory And Random Systems
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Statistical Field Theory Volume 2 Strong Coupling Monte Carlo Methods Conformal Field Theory and Random Systems
Author | : Claude Itzykson,Jean-Michel Drouffe |
Publsiher | : Cambridge University Press |
Total Pages | : 440 |
Release | : 1991-03-29 |
Genre | : Mathematics |
ISBN | : 0521408067 |
Download Statistical Field Theory Volume 2 Strong Coupling Monte Carlo Methods Conformal Field Theory and Random Systems Book in PDF, Epub and Kindle
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.
Statistical Field Theory Volume 1 From Brownian Motion to Renormalization and Lattice Gauge Theory
Author | : Claude Itzykson,Jean-Michel Drouffe |
Publsiher | : Cambridge University Press |
Total Pages | : 440 |
Release | : 1991-03-29 |
Genre | : Science |
ISBN | : 0521408059 |
Download Statistical Field Theory Volume 1 From Brownian Motion to Renormalization and Lattice Gauge Theory Book in PDF, Epub and Kindle
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.
Finite Temperature Field Theory
Author | : Joseph I. Kapusta,Charles Gale |
Publsiher | : Cambridge University Press |
Total Pages | : 443 |
Release | : 2023-07-31 |
Genre | : Science |
ISBN | : 9781009401951 |
Download Finite Temperature Field Theory Book in PDF, Epub and Kindle
Twistor Geometry and Field Theory
Author | : R. S. Ward,Raymond O'Neil Wells (Jr.) |
Publsiher | : Cambridge University Press |
Total Pages | : 534 |
Release | : 1990 |
Genre | : Mathematics |
ISBN | : 052142268X |
Download Twistor Geometry and Field Theory Book in PDF, Epub and Kindle
Deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, and several complex variables.
The Theory and Applications of Instanton Calculations
Author | : Manu Paranjape |
Publsiher | : Cambridge University Press |
Total Pages | : 325 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 9781009291262 |
Download The Theory and Applications of Instanton Calculations Book in PDF, Epub and Kindle
This 2017 volume, now reissued as OA, provides an accessible, detailed introduction to instanton methods and their many applications.
Methods of Contemporary Gauge Theory
Author | : Yuri Makeenko |
Publsiher | : Cambridge University Press |
Total Pages | : 433 |
Release | : 2023-07-31 |
Genre | : Science |
ISBN | : 9781009402057 |
Download Methods of Contemporary Gauge Theory Book in PDF, Epub and Kindle
Introduction to Classical Integrable Systems
Author | : Olivier Babelon,Denis Bernard,Michel Talon |
Publsiher | : Cambridge University Press |
Total Pages | : 622 |
Release | : 2003-04-17 |
Genre | : Mathematics |
ISBN | : 052182267X |
Download Introduction to Classical Integrable Systems Book in PDF, Epub and Kindle
This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The book contains many worked examples and is suitable for use as a textbook on graduate courses. It also provides a comprehensive reference for researchers already working in the field.
Supersymmetry Supergravity and Unification
Author | : Pran Nath |
Publsiher | : Cambridge University Press |
Total Pages | : 539 |
Release | : 2016-12-15 |
Genre | : Science |
ISBN | : 9780521197021 |
Download Supersymmetry Supergravity and Unification Book in PDF, Epub and Kindle
This book offers a comprehensive discussion of developments at the interface of particle physics, supergravity, and cosmology, for graduates and researchers.