Simple solution of two-dimensional Ising model on a torus in terms of Grassmann integrals
Journal Article
·
· Theor. Math. Phys.; (United States)
OSTI ID:6938381
This paper proposes a simple method for exact solution of the two-dimensional Ising model on a torus (lattice of finite size with periodic boundary conditions). The problem is solved through construction of a Grassmann representation for the partition function. The mirror Grassmann factorization for the Boltzmann weights and a special identity for Grassmann functions are used. The method is mathematically completely rigorous.
- Research Organization:
- Joint Institute For Nuclear Research, Dubna
- OSTI ID:
- 6938381
- Journal Information:
- Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 64:1; ISSN TMPHA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
ANNULAR SPACE
BOLTZMANN STATISTICS
BOUNDARY CONDITIONS
CONFIGURATION
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
DENSITY MATRIX
FERMIONS
FIELD THEORIES
FUNCTIONS
INTEGRALS
ISING MODEL
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MATRICES
PARTICLE PROPERTIES
PARTITION FUNCTIONS
QUANTUM FIELD THEORY
SPACE
SPIN
THERMODYNAMICS
TOROIDAL CONFIGURATION
TWO-DIMENSIONAL CALCULATIONS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
ANGULAR MOMENTUM
ANNULAR SPACE
BOLTZMANN STATISTICS
BOUNDARY CONDITIONS
CONFIGURATION
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
DENSITY MATRIX
FERMIONS
FIELD THEORIES
FUNCTIONS
INTEGRALS
ISING MODEL
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MATRICES
PARTICLE PROPERTIES
PARTITION FUNCTIONS
QUANTUM FIELD THEORY
SPACE
SPIN
THERMODYNAMICS
TOROIDAL CONFIGURATION
TWO-DIMENSIONAL CALCULATIONS