Introduction to Conformal Invariance and Its Applications to Critical Phenomena. 1st ed. 1993
- 種類:
- 電子ブック
- 責任表示:
- by Philippe Christe, Malte Henkel
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993
- 著者名:
- シリーズ名:
- Lecture Notes in Physics Monographs ; 16
- ISBN:
- 9783540475750 [3540475753]
- 注記:
- 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.
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. This is nowadays interpreted as comingfrom the strong fluctuations of the system close to the critical point. Subsequently, a wide varietyofphysicalsystems were realized to display critical points as well. Ofparticular importance was the observation of a critical point in ferromagnetic iron by Curie. Further examples include multicomponent fluids and alloys, superfluids, superconductors, polymers and may even extend to the quark-gluon plasmaand the early universe as a whole. Early theoretical investigationstried to reduce the problem to a very small number of degrees of freedom, such as the van der Waals equation and mean field approximations and culminating in Landau's general theory of critical phenomena. In a dra - ローカル注記:
- 学内専用E-BOOKS (local access only)
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