Yang-Baxter and other relations for free-fermion and Ising models
Journal Article
·
· J. Stat. Phys.; (United States)
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), Journal Name: J. Stat. Phys.; (United States) Vol. 46:3/4; ISSN JSTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOLTZMANN STATISTICS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
EIGENSTATES
FERMIONS
FUNCTIONS
INTEGRAL TRANSFORMATIONS
ISING MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
PARTITION FUNCTIONS
QUANTIZATION
QUANTUM MECHANICS
QUANTUM OPERATORS
SPIN
TRANSFORMATIONS
WEIGHTING FUNCTIONS
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOLTZMANN STATISTICS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
EIGENSTATES
FERMIONS
FUNCTIONS
INTEGRAL TRANSFORMATIONS
ISING MODEL
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MECHANICS
PARTICLE MODELS
PARTICLE PROPERTIES
PARTITION FUNCTIONS
QUANTIZATION
QUANTUM MECHANICS
QUANTUM OPERATORS
SPIN
TRANSFORMATIONS
WEIGHTING FUNCTIONS