| Preface |
| Ordered Phases / 1： |
| Overview / 1.1： |
| Order Parameters / 1.2： |
| Symmetry Breaking / 1.3： |
| Ferromagnetic Case / 1.3.1： |
| Spontaneous Symmetry Breaking / 1.3.2： |
| General Treatment of Symmetries / 1.3.3： |
| Heisenberg Model and Rotational Invariance / 1.3.4： |
| Symmetry Breaking Fields / 1.3.5： |
| Global Gauge Symmetry / 1.3.6： |
| Local Gauge Symmetry / 1.3.7： |
| Reduced Symmetries and Solids / 1.3.8： |
| More Order Parameters / 1.4： |
| Heisenberg Magnets / 1.4.1： |
| Superfluid [superscript 4]He / 1.4.2： |
| Superconductivity / 1.4.3： |
| Phase Separation in Binary Alloys / 1.4.4： |
| Order-Disorder Transitions in Binary Alloys / 1.4.5： |
| Displacive Transitions / 1.4.6： |
| Ferroelectric and Antiferroelectric Transitions / 1.4.7： |
| Potts Models / 1.4.8： |
| Nematic Liquid Crystals / 1.4.9： |
| Solids / 1.4.10： |
| Smectic A Liquid Crystals / 1.4.11： |
| Liquid-Gas Phase Transition / 1.4.12： |
| Phase Separation of Binary Fluid Mixtures / 1.4.13： |
| Polymer Mixtures / 1.4.14： |
| Block Copolymers / 1.4.15： |
| Phase Transitions and Breakdown of Translational Invariance / 1.5： |
| Coarse Graining and Effective Hamiltonians / 2： |
| Introduction / 2.1： |
| Effective Hamiltonians / 2.2： |
| Overview of Calculations of Effective Hamiltonians / 2.2.1： |
| Coarse Graining in a System with a Single Macrovariable / 2.2.3： |
| Spatial Correlations and Cell Size / 2.2.4： |
| Effective Hamiltonian: Multiple Macrovariables / 2.3： |
| Reduced Effective Hamiltonians / 2.4： |
| Square Gradient Correction / 2.5： |
| Effective Hamiltonian in the Energy Representation / 2.6： |
| Mixed Basis Form for the Effective Hamiltonian / 2.7： |
| Simple Fluids / 2.8： |
| Examples of Characteristic Lengths / 2.9： |
| Correlations in a Low-Density Fluid / 2.9.1： |
| One-Dimensional Ising Model / 2.9.2： |
| Response Experiments / 2.10： |
| Microscopic Formulation / 2.10.1： |
| Example: Paramagnetic Systems / 2.10.2： |
| Example: Moving Coordinate Systems / 2.10.3： |
| Effective Hamiltonian Formulation / 2.10.4： |
| Coarse Graining, Effective Hamiltonians, and the Renormalization Group / 3： |
| Background / 3.1： |
| Coarse-Grained Effective Hamiltonians / 3.2： |
| Landau-Ginzburg-Wilson (LGW) Effective Hamiltonian / 3.3： |
| Mean-Field Theory / 3.4： |
| Generalized Equipartition Theorem / 3.5： |
| Example: Scalar Case / 3.6： |
| Renormalization Group Transformation / 3.7： |
| Coarse-Grained Average / 3.7.1： |
| Landau-Ginzburg-Wilson Example / 3.7.2： |
| Rescaling / 3.7.3： |
| Renormalization Group Specification / 3.7.4： |
| Fixed Points / 3.7.5： |
| Long-Range Interactions / 3.7.6： |
| Coarse-Grained Models on Intermediate Length Scales / 3.8： |
| Soft-Spin Ising Model / 3.8.1： |
| Treatment of Interactions / 3.8.2： |
| Evaluation of Coarse-Grained Entropy for a Fluid / 3.8.3： |
| Coarse-Grained Entropy for Ising Models / 3.8.4： |
| Fluid Mixtures / 3.8.5： |
| Density Functional Theory / 3.8.6： |
| Critical Phenomena / 4： |
| General Phenomenology / 4.1： |
| Critical Indices / 4.2： |
| Series Expansion Studies / 4.2.1： |
| Experimental Results / 4.2.2： |
| Universality / 4.2.3： |
| The Scaling Hypothesis / 4.2.4： |
| The Landau-Ginzburg-Wilson (LGW) Model / 4.3： |
| Coarse Graining / 4.3.1： |
| Role of Fluctuations / 4.3.2： |
| The Renormalization Group (RG) / 4.5： |
| Basic Ideas / 4.5.1： |
| Renormalization Group (RG) Phenomenology Near a Critical Point / 4.5.2： |
| The Renormalization Group Near Four Dimensions / 4.5.3： |
| Scaling and the RG / 4.5.4： |
| Comments on the [epsilon] Expansion / 4.5.5： |
| Nambu-Goldstone Modes / 5： |
| Mean-Field Treatment and Broken Continuous Symmetry / 5.1： |
| Longitudinal Correlations / 5.2.1： |
| Symmetry Breaking Field / 5.2.2： |
| Cubic Symmetry / 5.2.3： |
| Phase Fields / 5.2.4： |
| Goldstone Theorem / 5.3： |
| Hohenberg-Mermin-Wagner Theorem / 5.4： |
| Examples / 5.5： |
| Classical Magnets / 5.5.1： |
| Low-Temperature Quantum-Mechanical Implications / 5.5.2： |
| General Discussion / 5.6.1： |
| Nonrelativistic Particles / 5.6.2： |
| Photons / 5.6.3： |
| Spin Waves: Ferromagnets / 5.6.4： |
| Spin Waves: Antiferromagnets / 5.6.5： |
| Gauge Fields and Higgs Phenomena / 5.7： |
| Dielectric and Magnetic Materials / 6： |
| Dielectric Materials / 6.1： |
| Polarization and Maxwell's Equations / 6.2.1： |
| Experimental Configurations / 6.2.3： |
| Independent Variables / 6.2.4： |
| Variational Problem / 6.2.5： |
| Dipolar Energy / 6.2.6： |
| Electrostatics / 6.2.7： |
| Dielectric Slab / 6.2.8： |
| Materials Parameters / 6.2.9： |
| The Functional E[P] / 6.2.10： |
| Stability / 6.2.11： |
| Fluctuations / 6.2.12： |
| Thermodynamics / 6.2.13： |
| Magnetic Materials / 6.3： |
| Magnetization and Maxwell's Equations / 6.3.1： |
| Fixed External Currents / 6.3.3： |
| Fixed Magnetic Induction / 6.3.4： |
| Fixed External Field at Infinity / 6.3.5： |
| Cases with Macroscopically Uniform Internal Fields / 6.3.6： |
| Exchange Contribution to E[M] / 6.3.11： |
| Magnetostatic Energy / 6.3.12： |
| Fluctuation Spectrum / 6.3.13： |
| Phase Transitions and Ordering / 6.3.14： |
| Polymers / 6.3.15： |
| Flexible Polymer Chains / 7.1： |
| Random-Walk Model / 7.2： |
| Lattice Formulation / 7.2.1： |
| Continuum Formulation / 7.2.2： |
| Density Correlations for Ideal Chains / 7.2.3： |
| Self-Avoiding Walks / 7.3： |
| Continuous Formulation / 7.3.1： |
| Perturbation Theory / 7.3.2： |
| Flory Theory / 7.3.3： |
| Semidilute Polymer Solutions / 7.3.4： |
| Screening / 7.4.1： |
| Screening and Swelling / 7.4.2： |
| Diblock Copolymers / 7.5： |
| Neutral Superfluids / 8： |
| General Comments / 8.1： |
| Normal Flow / 8.2： |
| Superfluid Flow / 8.3： |
| Quantum-Statistical-Mechanical Treatment of Superflow / 8.4： |
| Interpretation of V[subscript 0] and F[subscript V subscript s] / 8.5： |
| Superfluid Thermodynamics / 8.6： |
| The Superfluid Velocity as a Slow Variable / 8.7： |
| The Effective Hamiltonian / 8.8： |
| Flow and the LGW Description / 8.9： |
| Second Sound / 8.10： |
| Superconductors / 9： |
| Ginzburg-Landau Effective Hamiltonian / 9.1： |
| Uniform Solutions and Condensation Energy / 9.2： |
| Fluctuation Effects and Higgs Phenomena / 9.3： |
| Meissner Effect and Penetration Depth / 9.4： |
| Upper Critical Field / 9.5： |
| Upper Critical Current / 9.6： |
| Persistent Currents / 9.7： |
| Dimensionless Variables / 9.8： |
| Surface Energy / 9.9： |
| Normal-Superconducting Transition / 9.10： |
| Liquid Crystals / 10： |
| Complex Systems / 10.1： |
| Order Parameter / 10.2： |
| Potential Part of the Effective Hamiltonian / 10.2.2： |
| The Gradient Part of the Effective Hamiltonian / 10.2.3： |
| Spontaneous Fluctuations / 10.2.4： |
| Walls and Nonuniform Configurations / 10.2.5： |
| Magnetic Fields / 10.2.7： |
| The de Gennes Model / 10.3： |
| Landau Theory / 10.3.2： |
| Fluctuations and Order / 10.3.3： |
| Theory of Freezing / 11： |
| Density Functional Theory of Freezing / 11.2： |
| Hard-Sphere Fluids / 11.2.1： |
| Numerical Solution for Face-Centered Cubic (FCC) Lattice / 11.3： |
| Nambu--Goldstone (NG) Modes and Elastic Theory / 11.4： |
| Defects / 12： |
| Scalar Order Parameter Systems and Interfaces / 12.1： |
| Mean-Field Solution / 12.2.1： |
| [Psi superscript 4] Theory / 12.2.2： |
| Asymmetric Case / 12.2.3： |
| Polymer Mixture / 12.2.4： |
| Liquid--Gas Interface / 12.2.5： |
| Broken Translational Symmetry and the NG Modes / 12.2.6： |
| Finite-Energy Defects / 12.3： |
| Singularities and Topological Invariants / 12.4： |
| Topological Stability and Escape to a Higher Dimension / 12.5： |
| Vortices in XY Models and Neutral Superfluids / 12.6： |
| Single-Vortex Solution / 12.6.1： |
| Energy of an Isolated Vortex / 12.6.2： |
| Phase Field Approximation and Multiple-Vortex Solutions / 12.6.3： |
| Vortices in Superconductors / 12.7： |
| Ginzburg--Landau Treatment / 12.7.1： |
| London Theory / 12.7.2： |
| Heisenberg Model / 12.8： |
| Winding Number for an n = 3 Order Parameter / 12.8.1： |
| LGW Model / 12.8.2： |
| Avoiding Derrick's Theorem / 12.8.3： |
| Disclinations and Monopoles in Nematic Liquid Crystals / 12.9： |
| Phase Field Approximation / 12.9.1： |
| Defect Core Considerations / 12.9.3： |
| Monopoles in a Nematic / 12.9.4： |
| Strings in a Nematic / 12.9.5： |
| Dislocations and Vacancies in Solids / 12.10： |
| Elastic Theory and Defects / 12.10.1： |
| Straight-Line Screw Dislocation / 12.10.3： |
| Straight-Line End Dislocation / 12.10.4： |
| Defects in Equilibrium / 13： |
| Defects in Low Dimension / 13.1： |
| Kinks in One Dimension / 13.1.1： |
| Kosterlitz--Thouless Transition in Two-Dimensional Systems / 13.2： |
| General Considerations / 13.2.1： |
| Quasi-Long-Range Order / 13.2.2： |
| Superfluid Density / 13.2.3： |
| Two-Dimensional Coulomb Gas / 13.2.4： |
| RG Treatment of Parameters / 13.2.5： |
| Order Parameter Correlations / 13.2.6： |
| Block Copolymer Microphase Separation / 13.3： |
| Ohta--Kawasaki Effective Hamiltonian / 13.3.1： |
| Lamellar Structure: Weak Segregation / 13.3.2： |
| Lamellar Structure: Strong Segregation / 13.3.3： |
| Two- and Three-Dimensional Structures / 13.3.4： |
| Domains in Ferromagnets / 13.4： |
| Domain Wall Solutions / 13.4.1： |
| Bloch Wall Solution / 13.4.3： |
| Domain Wall Arrays / 13.4.4： |
| Intermediate State for Type I Superconductors / 13.5： |
| Magnetic Field / 13.5.1： |
| Magnetic Energy / 13.5.2： |
| Minimum Energy / 13.5.3： |
| Mixed State in Type II Superconductors / 13.6： |
| Flux Lattice / 13.6.1： |
| Brief Review of Transformation Theory in Thermodynamics / A： |
| General Theory / A.1： |
| Example of a Simple Fluid / A.2： |
| Gaussian Averages / B： |
| Functional Differentiation and Integration / C： |
| Differentiation / C.1： |
| Integration / C.2： |
| Fluctuation Contribution to Free Energy / C.3： |
| Higher-Order Correlation Functions / C.4： |
| Parameters for the Effective Hamiltonian / C.5： |
| Quantum-Mechanical Linear Response / D： |
| Perturbation Theory for Self-Avoiding Walk (SAW) Problem / E： |
| Monopoles in the n = 3 LGW System / F： |
| Index |
図書
