A Stochastic Truncation Method for Hamiltonian Lattice Field Theory

Dec 16, 1988
19 pages
Published in:
  • Phys.Rev.D 39 (1989) 3772
Report number:
  • PRINT-88-0917 (CANBERRA)

Citations per year

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Abstract: (APS)
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 Z2 gauge model in 2+1 dimensions.
  • LATTICE FIELD THEORY: HAMILTONIAN FORMALISM
  • LATTICE FIELD THEORY: THREE-DIMENSIONAL
  • GAUGE FIELD THEORY: Z(2)
  • LATTICE FIELD THEORY: STRING TENSION
  • ENERGY: GROUND STATE
  • MATHEMATICAL METHODS: STOCHASTIC
  • numerical methods: Monte Carlo
  • NUMERICAL CALCULATIONS: MONTE CARLO