Finite Size Effects on the QCD Spectrum Revisited

The MILC Collaboration; C. Bernard; T. A. DeGrand; C. DeTar; Steven Gottlieb; A. Krasnitz; R. Authors; :; L. Sugar; D. Toussaint

doi:10.1016/0920-5632(93)90229-Y

paper

Finite Size Effects on the QCD Spectrum Revisited

arXiv:hep-lat/9211007 · doi:10.1016/0920-5632(93)90229-Y

Abstract

We have continued our study of finite size effects in the QCD spectrum on lattices ranging in size from $8^{3} \times 24$ to $1 6^{3} \times 24$ . We have increased our statistics for quark mass $a m_{q} = 0.025$ for the smallest lattice size. In addition, we have studied quark mass 0.0125 for lattice sizes $1 2^{3} \times 24$ and $1 6^{3} \times 24$ . These lattice sizes correspond to a box 1.8--3.6 fm on a side when the rho mass at zero quark mass is used to set the scale. We discuss the nucleon to rho mass ratio at a smaller value of $m_{I ¨} / m_{I ¨} $ than previously studied with two dynamical flavors.

talk at Lattice '92, Amsterdam, 4 pages, 4 figures (included as PostScript files), requires espcrc2.sty, Preprint IUHET--233