Finite-lattice approach to the O(2) and O(3) models in 1+1 dimensions and the (2+1)-dimensional Ising model

Journal Article · Sun Jun 15 00:00:00 EDT 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.3341· OSTI ID:5257937

Roomany, H H; Wyld, H W

The Lanczos scheme for finding low-lying eigenvalues of a sparse matrix of large dimension is applied to solving the Hamiltonian formulation for the O(2) and O(3) spin systems in 1+1 dimensions and the Ising model in 2+1 dimensions. We confirm results obtained for these models in other ways. The new method is shown to be competitive with the other methods available for solving these problems.

• Research Organization: Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801
• OSTI ID: 5257937
• Journal Information: Phys. Rev., D; (United States), Vol. 21:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ISING MODEL
O GROUPS
SPIN
LATTICE FIELD THEORY
CALCULATION METHODS
EIGENVALUES
HAMILTONIANS
QUANTUM FIELD THEORY
RENORMALIZATION
ANGULAR MOMENTUM
CRYSTAL MODELS
DYNAMICAL GROUPS
FIELD THEORIES
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM OPERATORS
SYMMETRY GROUPS
645400* - High Energy Physics- Field Theory
656000 - Condensed Matter Physics