46,893 research outputs found
Massive Overlap Fermions on Anisotropic Lattices
We formulate the massive overlap fermions on anisotropic lattices.
We find that the dispersion relation for the overlap fermion resembles the
continuum form in the low-momentum region once the bare parameters are properly
tuned. The quark self-energy and the quark field renormalization constants are
calculated to one-loop in bare lattice perturbation theory.
We argue that massive domain wall quarks might be helpful in lattice QCD
studies on heavy-light hadron spectroscopy.Comment: 21 pages, 5 figures, one reference added compared with v.
Two Particle States in a Box and the -Matrix in Multi-Channel Scattering
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
-matrix elements in the continuum is obtained. This result can be viewed as
a generalization of the well-known L\"uscher's formula which establishes a
similar relation in elastic scattering.Comment: 4 pages, typeset with ws-ijmpa.cls. Talk presented at International
Conference on QCD and Hadronic Physics, June 16-20, 2005, Beijing, China. One
reference adde
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