Yang-Baxter and other relations for free-fermion and Ising models

Journal Article · Sun Feb 01 00:00:00 EST 1987 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01013374· OSTI ID:6319932

Davies, B

Eight-vertex, free fermion, and Ising models are formulated using a convention that emphasizes the algebra of the local transition operators that arise in the quantum inverse method. Equivalent classes of models, are investigated, with particular emphasis on the role of the star-triangle relations. Using these results, a natural and symmetrical parametrization is introduced and Yang-Baxter relations are constructed in an elementary way. The paper concludes with a consideration of duality, which links the present work to a recent paper of Baxter on the free fermion model.

• Research Organization: Australian National Univ., Canberra
• OSTI ID: 6319932
• Journal Information: J. Stat. Phys.; (United States), Vol. 46:3/4
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ISING MODEL
QUANTUM MECHANICS
PARTICLE MODELS
BOLTZMANN STATISTICS
CRYSTAL LATTICES
EIGENSTATES
FERMIONS
INTEGRAL TRANSFORMATIONS
MATRIX ELEMENTS
PARTITION FUNCTIONS
QUANTIZATION
QUANTUM OPERATORS
SPIN
WEIGHTING FUNCTIONS
ANGULAR MOMENTUM
CRYSTAL MODELS
CRYSTAL STRUCTURE
FUNCTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MECHANICS
PARTICLE PROPERTIES
TRANSFORMATIONS
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