Thu·Nov 15, 2001Thursday·November 15, 2001

1. 01*

   Relativistic heavy quarks on the lattice

   Sinya Aoki🇯🇵 · Yoshinobu Kuramashi🇯🇵 · Shin-ichi Tominaga🇯🇵

   We investigate feasibility of relativistic approaches to the heavy quark physics on both anisotropic and isotropic lattices. Our peturbative calculation reveals that the anisotropic lattice is not theoretically adovantageous over the isotropic one to control $m_{Q}a$ errors. We instead propose a new relativistic approach to handle heavy quarks on the isotropic lattice.

   hep-latNucl.Phys.B Proc.Suppl.(2002)·5 citations
2. 02*

   Alternative to Domain Wall Fermions

   H. Neuberger (Rutgers)🇺🇸

   An alternative to commonly used domain wall fermions is presented. Some rigorous bounds on the condition number of the associated linear problem are derived. On the basis of these bounds and some experimentation it is argued that domain wall fermions will in general be associated with a condition number that is of the same order of magnitude as the {\it product} of the condition number of the linear problem in the physical dimensions by the inverse bare quark mass. Thus, the computational cost of implementing true domain wall fermions using a single conjugate gradient algorithm is of the same order of magnitude as that of implementing the overlap Dirac operator directly using two nested conjugate gradient algorithms. At a cost of about a factor of two in operation count it is possible to make the memory usage of direct implementations of the overlap Dirac operator independent of the accuracy of the approximation to the sign function and of the same order as that of standard Wilson fermions.

   hep-latNucl.Phys.B Proc.Suppl.(2002)·2 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.