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Sinai Ya.G. — Theory of Phase Transitions: Rigorous Results |
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Предметный указатель |
-functional 52
-function 15
Berezinsky's transformation 13
Bifurcation point 134
Boundary 9
Boundary condition 9
Boundary condition, free 9
Boundary condition, periodic 9
Boundary functional 52
Boundary of a configuration 46
Classical rotator 6
compact function 17
Compactness 17
Compactness, relative 17
Configuration 2
contour 46
Contour functional 49
Contour model 48 ff.
Contour, external 32 ff. 47
Contour, fixed 40
Correlation function 52
Critical indices 96 118
Critical point 95
Critical point, ferromagnetic 95
Distant subsets 46
Gibbs distribution, conditonal 7
Gibbs distribution, limit 1 ff.
Gibbs free energy, asymptotic local 70
Gibbs free energy, ground state 35 ff.
Gibbs free energy, isolated 36
Hamiltonian 1
Hamiltonian, eigen 131
Hamiltonian, perturbed 37
Hamiltonian, symmetry group of a 3 9
Heiscnberg model 77
Hermlte-lto polynomial 125 ff.
Hierarchical model 97
Hierarchical model, Dyson's 97
| Induction hypothesis 105
Interaction, pair 2
Interaction, radius of 2
Invariance 4
Ising model 5
Ising model, antlferromagnetic 45
Ising model, d-dimensional 5
Ising model, ferromagnetic 39
Markov chain, field with multi-dimensional time 10
Markov chain, one-dimensional 5
Mayer — Monroe-type equations 50
Partition function 104 105
Peierls's, condition 37
Peierls's, inequality 40
Peierls's, method of contours 29 ff.
phase diagram 29 ff.
Potential 2
Prokhorov's theorem 17
Pure phase 43 62 29
Quantum field theory 12
Quantum field theory, lattice model for 12 22
Renormalizatlon group 95 119
Renormalizatlon group, linearized 123 ff.
Rotator, classical 6
Scaling probability distribution 119
Splitting up of the degeneration of a ground state 39
Stable solution 1
Stable solution, thermodynamkally 101 133
Statistical sum 7 47
Statistical sum, crystal 47 ff.
Statistical sum, dilute 48 ff.
Statistical sum, parametric 60
Surface tension 57 ff.
Symmetry, 4 13 104
Theorem, Froehlich, Simon and Spencer 85
Theorem, of Dobrushin 18
Theorem, of Dobrushin and Shlosman 78
X-Y model 5 13
Yang — Mills field 6
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