Application of the Green's-function Monte Carlo method to the compact Abelian lattice gauge theory

1983 ◽  
Vol 28 (8) ◽  
pp. 2067-2075 ◽  
Author(s):  
David W. Heys ◽  
Daniel R. Stump
Keyword(s):  
Monte Carlo ◽  
Gauge Theory ◽  
Monte Carlo Method ◽  
Green’S Function ◽  
Green's Function ◽  
Lattice Gauge Theory ◽  
Lattice Gauge ◽  
Abelian Lattice ◽  
Green's Function Monte Carlo

scholarly journals Forward-walking Green's Function Monte Carlo Method for Correlation Functions

1999 ◽  
Vol 52 (4) ◽  
pp. 637 ◽  
Author(s):  
M. Samaras ◽  
C. J. Hamer
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Green’S Function ◽  
Green's Function ◽  
Correlation Functions ◽  
Exact Results ◽  
Expectation Values ◽  
Trial Wavefunction ◽  
Local Observables ◽  
Green's Function Monte Carlo

The forward-walking Green's Function Monte Carlo method is used to compute expectation values for the transverse Ising model in (1 + 1)D, and the results are compared with exact values. The magnetisation Mz and the correlation function p z (n) are computed. The algorithm reproduces the exact results, and convergence for the correlation functions seems almost as rapid as for local observables such as the magnetisation. The results are found to be sensitive to the trial wavefunction, however, especially at the critical point.

Cohesive energy of silicon by the Green’s-function Monte Carlo method

1991 ◽  
Vol 44 (19) ◽  
pp. 10929-10932 ◽  
Author(s):  
X.-P. Li ◽  
D. M. Ceperley ◽  
Richard M. Martin
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Green’S Function ◽  
Green's Function ◽  
Cohesive Energy ◽  
Green's Function Monte Carlo
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