Stochastic truncation method for Hamiltonian lattice field theory
- 15 June 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 39 (12) , 3772-3777
- https://doi.org/10.1103/physrevd.39.3772
Abstract
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 gauge model in 2+1 dimensions.
Keywords
This publication has 14 references indexed in Scilit:
- An improved guided random walk algorithm for quantum field theory computationsNuclear Physics B, 1986
- Gap of the linear spin-1 Heisenberg antiferromagnet: A Monte Carlo calculationPhysical Review B, 1986
- Basis vector importance sampling for Hamiltonian lattice spectrum calculationsJournal of Physics A: General Physics, 1985
- Improved projector Monte Carlo study of string tension and roughening in lattice QED in three dimensionsPhysical Review D, 1985
- Guided random walks for solving Hamiltonian lattice gauge theoriesAnnals of Physics, 1984
- The Z2 gauge model in (2 + 1) dimensions: A finite-lattice studyNuclear Physics B, 1983
- Application of the Green's-function Monte Carlo method to the compact Abelian lattice gauge theoryPhysical Review D, 1983
- Projector Monte Carlo methodPhysical Review D, 1983
- Approximation schemes for finite latticesJournal of Physics A: General Physics, 1983
- Monte Carlo Calculations of the Ground State of Three- and Four-Body NucleiPhysical Review B, 1962