Fri·Aug 26, 2005Friday·August 26, 2005

1. 01*

   Two Particle States in a Box and the $s$-Matrix in Multi-Channel Scattering

   Chuan Liu🇨🇳 · Xu Feng🇨🇳 · Song He🇨🇳

   Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions. A relation between the exact energy eigenvalue in the box and the two-channel $S$-matrix elements in the continuum is obtained. This result can be viewed as a generalization of the well-known Lüscher's formula which establishes a similar relation in elastic scattering.

   hep-latInt.J.Mod.Phys.A(2006)·101 citations
2. 02*

   Heavy quark propagators with improved precision using domain decomposition

   A. Juttner🇬🇧 · M. Della Morte🇩🇪

   We show that, in four dimensions, the quark propagator is affected by round-off errors for large values of the quark mass am and the time extent T/a even when double precision arithmetics is used to compute it. We introduce a definition of the solver residual which is sensitive to the problem and apply a Schwarz alternating procedure to compute the propagator in a number of sub-domains in the time direction. The effectiveness of the method is demonstrated in a numerical computation of the free one-dimensional Dirac propagator.

   hep-latPoS(2006)·9 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.