The Accuracy of the Pseudofermion Method
Feb, 198312 pages
Published in:
- Nucl.Phys.B 220 (1983) 479-490
- Published: 1983
Report number:
- CALT-68-991
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Abstract: (Elsevier)
The pseudo-fermion method for dynamical fermions is studied using Monte Carlo techniques. Various approximations are tested by calculating the mass gap of the Schwinger model and by comparing it with results obtained with an exact algorithm. The mass found is consistent with that obtained from the exact algorithm, implying that the systematic errors are small. In addition, the mass is almost independent of the number of pseudo-sweeps used, implying that the statistical error inherent in the Monte Carlo of the pseudo-fermion field does not have a strong effect on the observable. Numerical evidence is presented to show that the algorithm gives the correct answer for even a single pseudo-sweep in the limit that the Metropolis hit size goes to zero.- FERMION: LATTICE FIELD THEORY
- FIELD THEORETICAL MODEL: SCHWINGER
- QUANTUM ELECTRODYNAMICS: TWO-DIMENSIONAL
- LATTICE FIELD THEORY: LANGEVIN EQUATION
- GAUGE FIELD THEORY: U(1)
- APPROXIMATION: QUENCHING
- MASS
- NUMERICAL CALCULATIONS: MONTE CARLO
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