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Conformal Invariance and Critical Phenomena (Theoretical and Mathematical Physics)

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Synopses & Reviews

Publisher Comments:

This book provides an introduction to conformal field theory and a review of its applications to critical phenomena in condensed-matter systems. After reviewing simple phase transitions and explaining the foundations of conformal invariance and the algebraic methods required, it proceeds to the explicit calculation of four-point correlators. Numerical methods for matrix diagonalization are described as well as finite-size scaling techniques and their conformal extensions. Many exercises are included. Applications treat the Ising, Potts, chiral Potts, Yang-Lee, percolation and XY models, the XXZ chain, linear polymers, tricritical points, conformal turbulence, surface criticality and profiles, defect lines and aperiodically modulated systems, persistent currents and dynamical scaling. The vicinity of the critical point is studied culminating in the exact solution of the two-dimensional Ising model at the critical temperature in a magnetic field. Relevant experimental results are also reviewed.

Table of Contents

Critical Phenomena: A Reminder.- Conformal Invariance.- Finite Size Scaling.- Representation Theory of the Virasoro Algebra.- Correlators, Null Vectors and Operator Algebra.- Ising Model Correlators.- Coulomb Gas Realization.- The Hamiltonian Limit and Universality.- Numerical Techniques.-Conformal Invariance in the Ising Quantum Chain.- Modular Invariance.- Further Developments and Applications.- Conformal Perturbation Theory.- The Vicinity of the Critical Point.- Surface Critical Phenomena.- Strongly Anisotropic Scaling.

Product Details

ISBN:
9783642084669
Author:
Henkel, Malte
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Mathematical Physics
Subject:
Application of integrable systems in statistical physics
Subject:
Computational Physics
Subject:
Critical phenomena
Subject:
Infinite dimensional Lie algebras.
Subject:
Phase transitions
Subject:
Quantum field theory
Subject:
Numerical methods
Subject:
mathematical methods in physics
Subject:
Statistical Physics, Dynamical Systems and Complexity
Subject:
Numerical and Computational Physics
Subject:
Condensed Matter Physics Nowhere else is there such a complete account of the finite-size scaling predictions and numerical texts of the theory (J. Cardy in Physics Today).
Subject:
Physics-Quantum Mechanics
Subject:
Condensed matter physics
Subject:
Physics
Subject:
Language, literature and biography
Subject:
Physics and Astronomy
Copyright:
Edition Description:
Softcover reprint of hardcover 1st ed. 1999
Series:
Theoretical and Mathematical Physics
Publication Date:
20101207
Binding:
TRADE PAPER
Language:
English
Pages:
434
Dimensions:
235 x 155 mm 654 gr

Related Subjects

Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Quantum Mechanics
Science and Mathematics » Physics » Solid State Physics

Conformal Invariance and Critical Phenomena (Theoretical and Mathematical Physics) New Trade Paper
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