BLOCKSPIN AND MULTIGRID FOR STAGGERED FERMIONS IN NON-ABELIAN GAUGE FIELDS

T. Kalkreuter, G. Mack and M. Speh
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T. Kalkreuter: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50, Germany
G. Mack: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50, Germany
M. Speh: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, W-2000 Hamburg 50, Germany

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 01, 121-147

Abstract: We discuss blockspins for staggered fermions, i. e. averaging and interpolation procedures which are needed in a real space renormalization group approach to gauge theories with staggered fermions and in a multigrid approach to the computation of gauge covariant propagators. The discussion starts from the requirement that the symmetries of the free action should be preserved by the blocking procedure in the limit of a pure gauge. A definition of an averaging kernel as a solution of a gauge covariant eigenvalue equation is proposed, and the properties of a corresponding interpolation kernel are examined in the light of general criteria for good choices of blockspins. Some results of multigrid computations of bosonic propagators in anSU(2)gauge field in 4 dimensions are also presented.

Keywords: Blockspin; Multigrid; Staggered Fermions; Non-Abelian Gauge Fields; Propagators (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000105

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