MINIMIZING STORAGE IN IMPLEMENTATIONS OF THE OVERLAP LATTICE-DIRAC OPERATOR

Herbert Neuberger ()
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Herbert Neuberger: Department of Physics and Astronomy, Rutgers University, Piscataway, NJ 08855-0849, USA

International Journal of Modern Physics C (IJMPC), 1999, vol. 10, issue 06, 1051-1057

Abstract: The overlap lattice-Dirac operator contains the sign function∊(H). Recent practical implementations replace∊(H)by a ratio of polynomials,H Pn(H2)/Qn(H2), and require storage of2n+2large vectors. Here I show that one can use only four large vectors at the cost of executing the core conjugate algorithm twice. The slow-down might be less than by a factor of 2, depending on the architecture of the computer one uses.

Keywords: Lattice gauge theory; Overlap Lattice-Dirac operator; Storage (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S012918319900084X

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