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1.

図書
図書
1. Field theory, the renormalization group, and critical phenomena
Daniel J. Amit
出版情報: London ; New York : McGraw-Hill International Book Co., c1978  xiv, 336 p. ; 25 cm
シリーズ名: International series in pure and applied physics
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2.

図書
図書
2. Critical phenomena : Sitges International School on Statistical Mechanics, June 1976, Sitges, Barcelona/Spain, director: L. Garrido (: Berlin ; : New York)
edited by J. Brey and R.B. Jones
出版情報: Berlin ; New York : Springer-Verlag, 1976  xi, 383 p. ; 25 cm
シリーズ名: Lecture notes in physics ; 54
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3.

図書
図書
3. Introduction to phase transitions and critical phenomena (: pbk)
by H. Eugene Stanley
出版情報: New York : Oxford University Press, 1987, c1971  xx, 308 p. ; 23 cm
シリーズ名: The international series of monographs on physics
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目次情報: 続きを見る
Introduction / Part 1：
What are the Critical Phenomena? A Survey of Some Basic Results / 1：
Useful Thermodynamic Relations for Fluid and Magnetic Systems / 2：
Critical-Point Exponents and Rigorous Relations Among Them / Part 2：
Critical-Point Exponents / 3：
Exponent Inequalities / 4：
Classical Theories of Cooperative Phenomena / Part 3：
The Van Der Waals Theory of Liquid-Gas Phase Transitions / 5：
The Mean Field Theory of Magnetic Phase Transitions / 6：
The Pair Correlation Function and the Ornstein-Zernike Theory / 7：
Models of Fluid and Magnetic Phase Transitions / Part 4：
Results Provided by Exact Solution of Model Systems / 8：
Results Obtained from Model Systems by Approximation Methods / 9：
Phenomenological Theories of Phase Transitions / Part 5：
Landau's Classic Theory of Exponents / 10：
Scaling Law Hypothesis for Thermodynamic Functions / 11：
Scaling of the Static Correlation Functions / 12：
Dynamic Aspects of Critical Phenomena / Part 6：
Introduction to Dynamic Critical Phenomena in Fluid Systems / 13：
Measurements of the Dynamic Structure Factor for Fluid Systems / 14：
Dynamic Scaling Laws and the Mode-Mode Coupling Approximation / 15：
Introduction / Part 1：
What are the Critical Phenomena? A Survey of Some Basic Results / 1：
Useful Thermodynamic Relations for Fluid and Magnetic Systems / 2：
4.

図書
図書
4. Conformal invariance and critical phenomena
Malte Henkel
出版情報: Berlin ; Tokyo : Springer, c1999  xvii, 417 p. ; 25 cm
シリーズ名: Texts and monographs in physics
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目次情報: 続きを見る
Critical Phenomena: a Reminder / 1：
Phase Diagrams and Critical Exponents / 1.1：
Scale Invariance and Scaling Relations / 1.2：
Some Simple Spin Systems / 1.3：
Ising Model / 1.3.1：
Tricritical Ising Model / 1.3.2：
q-States Potts Model / 1.3.3：
Vector Potts Model / 1.3.4：
XY Model / 1.3.5：
Yang-Lee Edge Singularity / 1.3.6：
Percolation / 1.3.7：
Linear Polymers / 1.3.8：
Restricted Solid-On-Solid Models / 1.3.9：
Some Experimental Examples / 1.4：
Correspondence Between Statistical Systems and Field Theory / 1.5：
Correspondence of Physical Quantities / 1.6：
Free Energy Density / 1.6.1：
Correlation Functions / 1.6.2：
Correlation Lengths / 1.6.3：
Conformal Invariance / 2：
From Scale Invariance to Conformal Invariance / 2.1：
Conformal Transformations in d Dimensions / 2.2：
Conformal Transformations in Two Dimensions / 2.3：
Conformal Invariance in Two Dimensions / 2.4：
Correlation Functions of Quasi-primary Operators / 2.5：
The Energy-Momentum Tensor / 2.6：
Finite-Size Scaling / 3：
Statistical Systems in Finite Geometries / 3.1：
Finite-Size Scaling Hypothesis / 3.2：
Universality / 3.3：
Phenomenological Renormalization / 3.4：
Consequences of Conformal Invariance / 3.5：
Comparison with Experiments / 3.6：
Representation Theory of the Virasoro Algebra / 4：
Verma Module / 4.1：
Hilbert Space Structure / 4.2：
Null Vectors / 4.3：
Kac Formula and Unitarity / 4.4：
Minimal Characters / 4.5：
Correlators, Null Vectors and Operator Algebra / 5：
Null Vectors and Correlation Functions / 5.1：
Operator Algebra and Associativity / 5.2：
Analyticity and the Monodromy Problem / 5.3：
Riemann's Method / 5.4：
Ising Model Correlators / 6：
Spin-Density Four-Point Function / 6.1：
Energy-Density Four-Point Function / 6.2：
Mixed Four-Point Functions / 6.3：
Semi-Local Four-Point Functions / 6.4：
Coulomb Gas Realization / 7：
The Free Bosonic Scalar Field / 7.1：
Screened Coulomb Gas / 7.2：
Minimal Correlation Functions / 7.3：
Minimal Algebras and OPE Coefficients / 7.4：
The Hamiltonian Limit and Universality / 8：
Hamiltonian Limit in the Ising Model / 8.1：
Hubbard-Stratonovich Transformation / 8.2：
Hamiltonian Spectrum and Conformal Invariance / 8.3：
Temperley-Lieb Algebra / 8.5：
Laudau-Ginzburg Classification / 8.6：
Numerical Techniques / 9：
Simple Properties of Quantum Hamiltonians / 9.1：
Some Further Physical Quantities and their Critical Exponents / 9.2：
Translation Invariance / 9.3：
Diagonalization / 9.4：
Extrapolation / 9.5：
VBS Algorithm / 9.5.1：
BST Algorithm / 9.5.2：
The DMRG Algorithm / 9.6：
Conformal Invariance in the Ising Quantum Chain / 10：
Exact Diagonalization / 10.1：
General Remarks / 10.1.1：
Jordan-Wigner Transformation / 10.1.2：
Diagonalization of a Quadratic Form / 10.1.3：
Eigenvalue Spectrum and Normalization / 10.1.4：
Character Functions
Finite-Size Scaling Analysis / 10.2：
Ground State Energy / 10.3.1：
Operator Content / 10.3.2：
Finite-Size Corrections / 10.3.3：
Finite-Size Scaling Functions / 10.3.4：
The Spin I Quantum Chain / 10.3：
The Virasoro Generators / 10.4：
Recapitulation / 10.5：
Modular Invariance / 11：
The Modular Group / 11.1：
Implementation for Minimal Models / 11.2：
Modular Invariance at c =1 / 11.3：
Circle or Coulomb Models / 11.3.1：
Orbifold Models / 11.3.2：
Lattice Realizations / 11.4：
Further Developments and Applications / 12：
Three-States Potts Model / 12.1：
Supersymmetry and Superconformal Invariance / 12.2：
Ashkin Teller Model / 12.3：
Relation with the XXZ Quantum Chain / 12.4.1：
Global Symmetry and Boundary Conditions / 12.4.2：
Phase Diagram / 12.4.3：
Operator Content on the c =1 Line / 12.4.4：
XXZ Quantum Chain / 12.5：
Ising Correlation Functions on Cylinders / 12.7：
Alternative Realizations of the Conformal Algebra / 12.8：
Logarithmic Conformal Theories / 12.8.1：
Lattice Two-Point Functions / 12.8.2：
Polymers / 12.9：
Lattice Animals / 12.10.1：
A Sketch of Conformal Turbulence / 12.11：
Some Remarks on 3D Systems / 12.12：
Conformal Perturbation Theory / 13：
Correlation Functions in the Strip Geometry / 13.1：
General Remarks on Corrections to the Critical Behaviour / 13.2：
Tower of the Identity / 13.3：
Application to the Ising Model / 13.3.2：
Application to the Three-States Potts Model / 13.3.3：
Checking the Operator Content from Finite-Size Corrections / 13.3.4：
Ising Model: Thermal Perturbation / 13.4：
Ising Model: Magnetic Perturbation / 13.4.2：
Truncation Method / 13.5：
The Vicinity of the Critical Point / 14：
The c-Theorem / 14.1：
Application to Polymers / 14.1.1：
Conserved Currents Close to Criticality / 14.2：
Exact S-Matrix Approach / 14.3：
Phenomenological Consequences / 14.4：
Integrable Perturbations / 14.4.1：
Universal Critical Amplitude Ratios / 14.4.2：
Chiral Potts Model / 14.4.3：
Oriented Interacting Polymers / 14.4.4：
Non-integrable Perturbations / 14.4.5：
Asymptotic Finite-Size Scaling Functions / 14.5：
Surface Critical Phenomena / 15：
Systems with a Boundary / 15.1：
Conformal Invariance Close to a Free Surface / 15.2：
Finite-Size Scaling with Free Boundary Conditions / 15.3：
Surface Operator Content / 15.4：
Temperley-Lieb Algebra and Relation with the XXZ Chain / 15.4.1：
Ashkin-Teller Model / 15.4.4：
Profiles / 15.4.7：
Defect Lines
Aperiodically Modulated Systems / 15.6.1：
Persistent Currents in Small Rings / 15.6.2：
Strongly Anisotropic Scaling / 16：
Dynamical Scaling / 16.1：
Schrödinger Invariance / 16.2：
Towards Local Scale Invariance for General ? / 16.3：
Some Remarks on Reaction-Diffusion Processes / 16.4：
Anhang/Annexe
List of Tables
List of Figures
References
Index
Critical Phenomena: a Reminder / 1：
Phase Diagrams and Critical Exponents / 1.1：
Scale Invariance and Scaling Relations / 1.2：
5.

図書
図書
5. Quantum field theory and critical phenomena. 3rd ed
Jean Zinn-Justin
出版情報: Oxford : Clarendon Press, 1996  xxii, 1008 p. ; 25 cm
シリーズ名: The international series of monographs on physics ; 92
Oxford science publications
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6.

図書
図書
6. How nature works : the science of self-organized criticality
Per Bak
出版情報: New York : Copernicus, c1996  xiii, 212 p., [8] p. of plates ; 24 cm
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7.

図書
図書
7. Scaling and self-similarity in physics : renormalization in statistical mechanics and dynamics (: us ; : sz・gw)
Jürg Fröhlich, editor
出版情報: Boston : Birkhäuser, 1983  vi, 426 p. ; 24 cm
シリーズ名: Progress in physics ; v. 7
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8.

図書
図書
8. Random walks, critical phenomena, and triviality in quantum field theory (: us ; : gw)
Roberto Fernández, Jürg Fröhlich, Alan D. Sokal
出版情報: Berlin ; Tokyo : Springer-Verlag, c1992  xiii, 444 p. ; 24 cm
シリーズ名: Texts and monographs in physics
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9.

図書
図書
9. Critical phenomena in liquids and liquid crystals
Mikhail A. Anisimov
出版情報: Philadelphia : Gordon and Breach Science Publishers, c1991  xvi, 431 p. ; 24 cm
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10.

図書
図書
10. Finite size scaling and numerical simulation of statistical systems
editor, V. Privman
出版情報: Singapore ; Teaneck : World Scientific, c1990  ix, 518 p. ; 23 cm
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