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Group Analysis of Classical Lattice Systems [1977]

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