Ensemble projector Monte Carlo method, studying the lattice Schwinger model in the Hamiltonian formulation

Journal Article · Tue Apr 15 00:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.2383· OSTI ID:6140397

Ranft, J; Schiller, A

The ensemble projector Monte Carlo method is a promising method to study lattice gauge theories with fermions in the Hamiltonian formulation. We study the massive Schwinger model and show that consistent results are obtained in the presence of positive and negative matrix elements. The expectation values for the average energy calculated from matrix elements with negative and positive scores, and calculated from the average scores, are consistent with each other and with results obtained from the local Hamiltonian Monte Carlo method. In contrast with the latter method, the ensemble projector Monte Carlo method can be also applied to gauge field theories in 2+1 and 3+1 dimensions.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 6140397
• Journal Information: Phys. Rev. D; (United States), Vol. 33:8
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
GAUGE INVARIANCE
COUPLING CONSTANTS
EIGENSTATES
HAMILTONIANS
MASS
MATRIX ELEMENTS
MONTE CARLO METHOD
PARTITION FUNCTIONS
QUANTUM NUMBERS
SU-2 GROUPS
U-1 GROUPS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SU GROUPS
SYMMETRY GROUPS
U GROUPS
645400* - High Energy Physics- Field Theory