Gauge fields in condensed matter / by Hagen Kleinert



Digitised Book 216.73.216.10 (0)

1989

Gauge fields in condensed matter / by Hagen Kleinert

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Information About

This book is the first to develop a unified gauge theory of condensed matter systems dominated by vortices or defects and their long-range interactions. In addition to gauge fields, it introduces the important new concept of disorder fields for ensembles of line-like defects. The book presents the general differential geometry of defects in spaces with curvature and torsion and establishes contact with the modern theory of gravity with torsion. This book is written for condensed matter physicists and field theorists.

Subjects

Superfluidity Phase transformations (Statistical physics) Gauge fields (Physics) Crystals--Defects

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Additional Details

Title
Gauge fields in condensed matter / by Hagen Kleinert
Creators
  • Kleinert, H. (Hagen)
Subject
  • Superfluidity
  • Phase transformations (Statistical physics)
  • Gauge fields (Physics)
  • Crystals--Defects
Publisher
  • World Scientific, 1989
  • National Library Board Singapore, 1989
Digital Description
application/pdf, 3.13 MB, 40 p.
Table of Contents
  • Preface -- Introduction -- Part I. Fluctuating fields and random chains. ch. 1. Statistical physics -- ch. 2. Perturbation theory -- ch. 3. Gauge invariant field theories -- ch. 4. Low temperature expansion around extrema -- ch. 5. Effective energy -- ch. 6. Feynman diagrams and random walks. Part II. Gauge fields in superfluid helium. ch. 1. Superfluidity -- ch. 2. Grand canonical ensembles of interacting vortex lines -- ch. 3. Ginzburg-Landau theory of superconductivity -- ch. 4. Lattice model of the superfluid phase transition -- ch. 5. Mean field methods for lattice models -- ch. 6. Vortex lines in the XY model -- ch. 7. The villain approximation and the villain model -- ch. 8. Gauge fields of vortex lines -- ch. 9. Correlation functions -- ch. 10. Gas of monopoles -- ch. 11. Two-dimensional considerations -- ch. 12. Lattice derivation of disorder field theory -- ch. 13. Vortex lines in the Ginzburg-Landau theory and their disorder field theory. Part III. Gauge fields in solids. ch. 1. The ideal crystal -- ch. 2. Line-like defects in crystals -- ch. 3. Energetics of dislocation lines -- ch. 4. Local field description of interacting dislocations -- ch. 5. Stress energy of general defect distributions -- ch. 6. Kinematic properties of dislocation lines -- ch. 7. Some general properties of the melting process -- ch. 8. First attempt at a disordered field theory of defect melting -- ch. 9. Lattice model of defect Mmelting -- ch. 10. Defect gauge fields -- ch. 11. Thermodynamics of the melting model -- ch. 12. The melting transition in the defect model -- ch. 13. The melting model of the cosine type -- ch. 14. The two-dimensional Kosterlitz-Thouless-Halperin-Nelson- young approach to defect melting -- ch. 15. Disorder field theory of defect melting -- ch. 16. General analysis of defects on the lattice -- ch. 17. Extended theory of elasticity -- ch. 18. Interaction energy of defects in second-gradient elasticity. Part IV. Differential geometry of defects and gravity with torsion. ch. 1. Introduction -- ch. 2. Metric-affine spaces -- ch. 3. Field equations for gravitation -- ch. 4. Spinning particles -- ch. 5. Covariant conservation laws -- ch. 6. Gravitation of spinning matter as a gauge theory -- ch. 7. Geometric theory of stresses and defects -- Summary and outlook -- Subject index.
Copyright
  • All Rights Reserved. National Library Board Singapore 2009.