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Group Analysis of Classical Lattice Systems [1977]
- 1
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Definitions and group structure
- 13
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The duality transformation
- 38
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Duality relation for the correlation functions
- 59
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Phase transitions with spontaneous symmetry breakdown. Ergodic decomposition
- 95
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Series and cluster expansion an application of universality hypothesis a “generalized” droplet-model
- 122
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The partial trace transformation. Equation for the correlation functions and representation of the symmetry group
- 152
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Invariant equilibrium states and duality transformation for infinite systems
- 161
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Asano contraction and group structure. Analyticity properties of the free energy
- 175
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Analyticity and uniqueness of the invariant equilibrium state
- 180
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Definitions and group structure for systems with constraints
- 196
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Expansions for the partition function
- 202
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Partial trace method and equilibrium equations
- 212
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Duality transformation restricted to finite bonds
- 222
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Asano contractions and unicity of state
- 250
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General framework of higher spin systems
- 265
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Physical implications of the group structure
- 283
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Spin 1 lattice systems
- 293
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The duality transformation
- 304
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Zeroes of the partition function
- XI
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Introduction