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

Journal Article · Tue Apr 15 04:00:00 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: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 6140397
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

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