Visual study of zero-modes role in PTMG convergence

M. Harmatz*, P. Lauwers, S. Solomon, T. Wittlich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We present a visual study of the convergence of the Parallel Transported Multigrid (PTMG) in the presence of Atyiah-Singer lattice zero modes. In particular, we explain the differences in the behavior of various PTMG variants and the divergence of the standard PTMG algorithm at nonphysically small masses m. To check our understanding we predict and verify at m = 0 a quite dramatic dependence of the convergence on the instanton size modulo 4.

Original languageEnglish
Pages (from-to)192-199
Number of pages8
JournalNuclear and Particle Physics Proceedings
Volume30
Issue numberC
DOIs
StatePublished - Mar 1993

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