Conformal Invariance and Critical Phenomena

By:

Malte Henkel

Format:

Paperback / softback

Series:

Theoretical and Mathematical Physics

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Description

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 reviewed.

Release date NZ

December 1st, 2010

Author

Malte Henkel

Audience

Professional & Vocational

Edition

Softcover reprint of hardcover 1st ed. 1999

Illustrations

XVII, 418 p.

Pages

418

Series

Theoretical and Mathematical Physics

Dimensions

156x234x22

ISBN-13

9783642084669

Product ID

9979519

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