English

Improving the Dirac Operator in Lattice QCD

High Energy Physics - Lattice 2011-07-19 v1

Abstract

Recently various new concepts for the construction of Dirac operators in lattice Quantum Chromodynamics (QCD) have been introduced. These operators satisfy the so-called Ginsparg-Wilson condition (GWC), thus obeying the Atiyah-Singer index theorem and violating chiral symmetry only in a modest and local form. Here we present studies in 4-d for SU(3) gauge configurations with non-trivial topological content. We study the flow of eigenvalues and we compare the numerical stability and efficiency of a recently suggested chirally improved operator with that of others in this respect.

Keywords

Cite

@article{arxiv.hep-lat/0111043,
  title  = {Improving the Dirac Operator in Lattice QCD},
  author = {Christof Gattringer and C. B. Lang},
  journal= {arXiv preprint arXiv:hep-lat/0111043},
  year   = {2011}
}

Comments

Contrib. to Conf. on Comp. Physics, Sept. 2001 (Aachen); 4 pages, 4 figures, (LaTeX style files cpauth.cls, elsart.cls)

R2 v1 2026-07-22T13:12:34.722Z