Stochastic truncation method for Hamiltonian lattice field theory

Journal Article · Thu Jun 15 00:00:00 EDT 1989 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.39.3772· OSTI ID:6064605

Allton, C R; Yung, C M; Hamer, C J

A new Monte Carlo method is presented for estimating the dominant eigenvalue of a matrix Hamiltonian. It is a version of the power method, in which the basis-state amplitudes are stochastically rounded to integers. Its relation to the ensemble projector Monte Carlo method is discussed and some results are demonstrated for the example of the /ital Z//sub 2/ gauge model in 2+1 dimensions.

• Research Organization: Department of Theoretical Physics, IAS, Australian National University, GPO Box 4, Canberra 2601, Australia(AU); School of Physics, University of New South Wales, P.O. Box 1, Kensington 2033, Australia
• OSTI ID: 6064605
• Journal Information: Phys. Rev. D; (United States), Vol. 39:12
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
MONTE CARLO METHOD
EIGENVALUES
EIGENVECTORS
GAUGE INVARIANCE
GREEN FUNCTION
HAMILTONIANS
QUANTUM ELECTRODYNAMICS
SPIN
THREE-DIMENSIONAL CALCULATIONS
VACUUM STATES
WAVE FUNCTIONS
ANGULAR MOMENTUM
ELECTRODYNAMICS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
645400* - High Energy Physics- Field Theory