Conformal Invariance and Critical Phenomena:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1999
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| Schriftenreihe: | Texts and Monographs in Physics
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XVII, 418 p) |
| ISBN: | 9783662039373 9783642084669 |
| ISSN: | 1864-5879 |
| DOI: | 10.1007/978-3-662-03937-3 |
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| isbn | 9783662039373 9783642084669 |
| issn | 1864-5879 |
| language | English |
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| spelling | Henkel, Malte Verfasser aut Conformal Invariance and Critical Phenomena by Malte Henkel Berlin, Heidelberg Springer Berlin Heidelberg 1999 1 Online-Ressource (XVII, 418 p) txt rdacontent c rdamedia cr rdacarrier Texts and Monographs in Physics 1864-5879 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 Physics Mathematical physics Mathematical Methods in Physics Statistical Physics, Dynamical Systems and Complexity Numerical and Computational Physics Condensed Matter Physics Mathematische Physik Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Konforme Invarianz (DE-588)4312760-5 gnd rswk-swf Konforme Invarianz (DE-588)4312760-5 s Kritisches Phänomen (DE-588)4165788-3 s 1\p DE-604 https://doi.org/10.1007/978-3-662-03937-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Henkel, Malte Conformal Invariance and Critical Phenomena Physics Mathematical physics Mathematical Methods in Physics Statistical Physics, Dynamical Systems and Complexity Numerical and Computational Physics Condensed Matter Physics Mathematische Physik Kritisches Phänomen (DE-588)4165788-3 gnd Konforme Invarianz (DE-588)4312760-5 gnd |
| subject_GND | (DE-588)4165788-3 (DE-588)4312760-5 |
| title | Conformal Invariance and Critical Phenomena |
| title_auth | Conformal Invariance and Critical Phenomena |
| title_exact_search | Conformal Invariance and Critical Phenomena |
| title_full | Conformal Invariance and Critical Phenomena by Malte Henkel |
| title_fullStr | Conformal Invariance and Critical Phenomena by Malte Henkel |
| title_full_unstemmed | Conformal Invariance and Critical Phenomena by Malte Henkel |
| title_short | Conformal Invariance and Critical Phenomena |
| title_sort | conformal invariance and critical phenomena |
| topic | Physics Mathematical physics Mathematical Methods in Physics Statistical Physics, Dynamical Systems and Complexity Numerical and Computational Physics Condensed Matter Physics Mathematische Physik Kritisches Phänomen (DE-588)4165788-3 gnd Konforme Invarianz (DE-588)4312760-5 gnd |
| topic_facet | Physics Mathematical physics Mathematical Methods in Physics Statistical Physics, Dynamical Systems and Complexity Numerical and Computational Physics Condensed Matter Physics Mathematische Physik Kritisches Phänomen Konforme Invarianz |
| url | https://doi.org/10.1007/978-3-662-03937-3 |
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