1 Introduction 1
2 History of Conventional Spin Wave Theory 9
2.1 Theoretical and Experimental Confusions 9
2.2 Problems with the Macroscopic Magnetization 17
3 Basic Issues of Renormalization Group(RG)Theory 25
3.1 Dynamics of Non Magnetic Solids 25
3.2 Dynamics of Ordered Magnets 47
4 Universality 53
4.1 Non-Magnetic Solids 53
4.2 Ordered Magnets 58
5 Microscopic Processes 69
6 Non-Relevant Magnons 75
7 Crossover Phenomena 93
7.1 Amplitude Crossover(AC) 93
7.2 Quantum State Crossover(QS) 104
7.3 Crossover Between Stable Fixed Points(SFP) 113
7.4 Symmetry Crossover(SC) 119
7.5 Dimensionality Crossover(DC) 124
8 Metastability of Universality Classes 129
9 Relevant and Non-Relevant Interactions 139
10 Temperature Dependence of the Magnon Excitation Spectra 159
11 Magnetic Heat Capacity 167
11.1 NonRelevant Magnetic Heat Capacity for T→0 167
11.2 Relevant Magnetic Heat Capacity for T→0 171
12 Experimental Verification of GSW Bosons 185
13 Magnets With and Without Magnon Gap(Goldstone Mode) 199
13.1 Isotropic Magnets with Half-Integer Spin(T2 Universality Class) 201
13.2 Isotropic Magnets with Integer Spin(T9/2 Universality Class) 204
13.3 Two-Dimensional Magnets with Half-Integer Spin (T3/2 Universality Class) 205
13.4 Two-Dimensional Magnets with Integer Spin(T2 Universality Class) 207
13.5 One-Dimensional Magnets with Half-Integer Spin(T5/2 Universality Class) 208
13.6 One-Dimensional Magnets with Integer Spin(T3 Universality Class) 209
13.7 Field Dependence of the Classical Magnon Spectrum 221
14 Microscopic Details:Spin Structure,Site Disorder,Two Order Parameters 223
15 The Critical Magnetic Behaviour 241
15.1 Isotropic 3D Magnets with Half-Integer Spin(T2 Universality Class) 247
15.2 Anisotropic 3D Magnets with Half-Integer Spin(T3/2 Universality Class) 269
15.3 Isotropic 3D Magnets with Integer Spin(T9/2 Universality Class) 271
15.4 Anisotropic 3D Magnets with Integer Spin(T2 Universality Class) 283
15.5 Amorphous Ferromagnets 283
15.6 Two-Dimensional Magnets 289
15.7 One-Dimensional Magnets 294
16 Thermal Lattice Expansion and Magnetostriction 309
16.1 Spontaneous Magnetostriction 310
16.2 Thermal Lattice Expansion of Non-Magnetic Solids 328
17 The Total Energy Content 335
18 Superconductivity 339
18.1 Superconducting Heat Capacity 342
18.2 Superconducting Excitation Gap 358
18.3 Problems with Landau's Order Parameter Concept 364
19 Conclusions 367
References 375
Index 389