Multistep Methods for Lattice QCD Simulations

Details Multistep Methods for Lattice QCD Simulations Multistep Methods for Lattice QCD Simulations

2012-01-11

arxiv.org/abs/1201.2303v1

Physics

Mathematical Physics

7 pages, 8 figures, contribution to the XXIX International Symposium on Lattice Field Theory - Lattice 2011 July 10-16, 2011

Scientific paper

It is well-known that molecular dynamics integrators, which are used for lattice quantum chromodynamics (QCD), suffer from instabilities and possess a rather low order of the accuracy. Hence, it is highly desirable to construct a new class of geometric integrators, that overcomes these instability problems and increases the order of accuracy without increasing remarkably the computational costs. In this paper we consider for this purpose multistep methods and give an overview of known results to systematize important knowledge for such methods being the right choice for lattice QCD simulations. At the end we try to answer the question: can multistep method be used as molecular dynamic integrators and what might be the advantage of it.

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