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Introduction to Conformal Invariance and Its Applications to Critical Phenomena

The history of critical phenomena goes back to the year 1869 when Andrews discovered the critical point of carbon dioxide, located at about 31°C and 73 atmospheres pressure. In the neighborhood ofthis point the carbon dioxide was observed to become opalescent, that is, light is strongly scattered. T...

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Bibliographic Details
Main Authors: Christe, Philippe, Henkel, Malte (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1993, 1993
Edition:1st ed. 1993
Series:Lecture Notes in Physics Monographs
Subjects:
Complex Systems
Thermodynamics
Phase Transitions And Multiphase Systems
System Theory
Mathematical Physics
Theoretical, Mathematical And Computational Physics
Condensed Matter
Mathematical Methods In Physics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Critical Phenomena: a Reminder
  • Conformal Invariance and the Stress-Energy Tensor
  • Finite Size Scaling
  • Representation Theory of the Virasoro Algebra
  • Operator Algebra and Correlation Functions
  • The Ising Model Correlation Functions
  • 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
  • Outlook: Beyond the Conformal Group

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