Integrable Systems in Statistical Mechanics
This book contains lectures given at the Institute for Scientific Interchange (I.S.I., Turin) in 1983 - 1984 on the exact solution of the 8-vertex and related models and extensions of the Baxter model to 3 dimensions.
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analytic Baxter becomes boundary called circle coefficients coherent colours commutation complex connected consider construct continuation corresponding critical defined definition dependence determine diagonal differential elements exactly example exponential exponents expression faces factor field finite fixed free energy free fermions give given hamiltonian hard hexagon Infact infinite infinite dimensional integral interaction introduce inversion Ising model Italy lattice Lie algebra limit linear look matrix means method monodromy obtain operators parameter partition function phase Phys plane polynomial possible problem properties quantum relations representation result S-matrix satisfy scattering shown side simple singularity soliton equations solution solved space spin strings symmetry taking tetrahedron equations theory three-string tion transfer matrix transformation triangle true values variables vector vertex operator weight Zamolodchikov zero