Abstract
Complete spectra of the staggered Dirac operator D are determined in quenched four-dimensional SU(2) gauge fields, and also in the presence of dynamical fermions. Periodic as well as antiperiodic boundary conditions are used. An attempt is made to relate the performance of multigrid (MG) and conjugate gradient (CG) algorithms for propagators with the distribution of the eigenvalues of D. The convergence of the CG algorithm is determined only by the condition number k and by the lattice size. Since k`s do not vary signigicantly when quarks become dynamic, CG convergence in unquenched fields can be predicted from quenched simulations. On the other hand, MG convergence is not affected by k but depends on the spectrum in a more subtle way. (orig.)
Kalkreuter, T
[1]
- Kaiserslautern Univ. (Germany). Fachbereich Physik
Citation Formats
Kalkreuter, T.
Spectrum of the Dirac operator and multigrid algorithm with dynamical staggered fermions.
Germany: N. p.,
1994.
Web.
Kalkreuter, T.
Spectrum of the Dirac operator and multigrid algorithm with dynamical staggered fermions.
Germany.
Kalkreuter, T.
1994.
"Spectrum of the Dirac operator and multigrid algorithm with dynamical staggered fermions."
Germany.
@misc{etde_10105081,
title = {Spectrum of the Dirac operator and multigrid algorithm with dynamical staggered fermions}
author = {Kalkreuter, T}
abstractNote = {Complete spectra of the staggered Dirac operator D are determined in quenched four-dimensional SU(2) gauge fields, and also in the presence of dynamical fermions. Periodic as well as antiperiodic boundary conditions are used. An attempt is made to relate the performance of multigrid (MG) and conjugate gradient (CG) algorithms for propagators with the distribution of the eigenvalues of D. The convergence of the CG algorithm is determined only by the condition number k and by the lattice size. Since k`s do not vary signigicantly when quarks become dynamic, CG convergence in unquenched fields can be predicted from quenched simulations. On the other hand, MG convergence is not affected by k but depends on the spectrum in a more subtle way. (orig.)}
place = {Germany}
year = {1994}
month = {Aug}
}
title = {Spectrum of the Dirac operator and multigrid algorithm with dynamical staggered fermions}
author = {Kalkreuter, T}
abstractNote = {Complete spectra of the staggered Dirac operator D are determined in quenched four-dimensional SU(2) gauge fields, and also in the presence of dynamical fermions. Periodic as well as antiperiodic boundary conditions are used. An attempt is made to relate the performance of multigrid (MG) and conjugate gradient (CG) algorithms for propagators with the distribution of the eigenvalues of D. The convergence of the CG algorithm is determined only by the condition number k and by the lattice size. Since k`s do not vary signigicantly when quarks become dynamic, CG convergence in unquenched fields can be predicted from quenched simulations. On the other hand, MG convergence is not affected by k but depends on the spectrum in a more subtle way. (orig.)}
place = {Germany}
year = {1994}
month = {Aug}
}