Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices

Details Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices

2006-07-17

arxiv.org/abs/hep-lat/0607021v2

JHEP 0608 (2006) 060

Physics

High Energy Physics

High Energy Physics - Lattice

36 pages, 14 figures, references added

Scientific paper

10.1088/1126-6708/2006/08/060

We formulate the massive domain wall fermions on anisotropic lattices. For the massive domain wall fermion, we find that the dispersion relation assumes the usual form in the low momentum region when 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. For light domain wall fermions, we verified that the chiral mode is stable against quantum fluctuations on anisotropic lattices. This calculation serves as a guidance for the tuning of the parameters in the quark action in future numerical simulations.

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