Parallel-transported multigrid and its application to the schwinger model

M. Harmatz; P. G. Lauwers; R. Ben-Av; A. Brandt; E. Katznelson; S. Solomon; K. Wolowesky

doi:10.1016/0920-5632(91)90890-Q

Parallel-transported multigrid and its application to the schwinger model

M. Harmatz^*, P. G. Lauwers, R. Ben-Av, A. Brandt, E. Katznelson, S. Solomon, K. Wolowesky

^*Corresponding author for this work

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We present an efficient multigrid algorithm to invert the Dirac-Operator in simulations of lattice gauge theories. The coarse-level gauge and "fermionic" fields are derived from the fine-level fields using the appropriate gauge fields as parallel transporters; for this reason the method is called Parallel-Transported Multigrid (PTMG). We demonstrate the algorithm by computing the chiral symmetry order parameter and the pseudoscalar meson mass in the quenched Schwinger Model. In a considerable part of the physically relevant parameter space the method is superior over the one-level relaxation algorithms by several orders of magnitude. The method can be generalized in a straightforward way to SU(3) lattice gauge theory in 4 dimensions.

Original language	English
Pages (from-to)	102-109
Number of pages	8
Journal	Nuclear and Particle Physics Proceedings
Volume	20
Issue number	C
DOIs	https://doi.org/10.1016/0920-5632(91)90890-Q
State	Published - 20 May 1991

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abstract = "We present an efficient multigrid algorithm to invert the Dirac-Operator in simulations of lattice gauge theories. The coarse-level gauge and {"}fermionic{"} fields are derived from the fine-level fields using the appropriate gauge fields as parallel transporters; for this reason the method is called Parallel-Transported Multigrid (PTMG). We demonstrate the algorithm by computing the chiral symmetry order parameter and the pseudoscalar meson mass in the quenched Schwinger Model. In a considerable part of the physically relevant parameter space the method is superior over the one-level relaxation algorithms by several orders of magnitude. The method can be generalized in a straightforward way to SU(3) lattice gauge theory in 4 dimensions.",

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AU - Harmatz, M.

AU - Lauwers, P. G.

AU - Ben-Av, R.

AU - Brandt, A.

AU - Katznelson, E.

AU - Solomon, S.

AU - Wolowesky, K.

PY - 1991/5/20

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N2 - We present an efficient multigrid algorithm to invert the Dirac-Operator in simulations of lattice gauge theories. The coarse-level gauge and "fermionic" fields are derived from the fine-level fields using the appropriate gauge fields as parallel transporters; for this reason the method is called Parallel-Transported Multigrid (PTMG). We demonstrate the algorithm by computing the chiral symmetry order parameter and the pseudoscalar meson mass in the quenched Schwinger Model. In a considerable part of the physically relevant parameter space the method is superior over the one-level relaxation algorithms by several orders of magnitude. The method can be generalized in a straightforward way to SU(3) lattice gauge theory in 4 dimensions.

AB - We present an efficient multigrid algorithm to invert the Dirac-Operator in simulations of lattice gauge theories. The coarse-level gauge and "fermionic" fields are derived from the fine-level fields using the appropriate gauge fields as parallel transporters; for this reason the method is called Parallel-Transported Multigrid (PTMG). We demonstrate the algorithm by computing the chiral symmetry order parameter and the pseudoscalar meson mass in the quenched Schwinger Model. In a considerable part of the physically relevant parameter space the method is superior over the one-level relaxation algorithms by several orders of magnitude. The method can be generalized in a straightforward way to SU(3) lattice gauge theory in 4 dimensions.

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Parallel-transported multigrid and its application to the schwinger model

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