A new proposal for the fermion doubling problem. II. Improving the operators for finite lattices

Details A new proposal for the fermion doubling problem. II. Improving the operators for finite lattices A new proposal for the fermion doubling problem. II. Improving the operators for finite lattices

2002-07-24

arxiv.org/abs/hep-lat/0207015v1

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages

Scientific paper

In a previous paper I showed how the ideal SLAC derivative and second-derivative operators for an infinite lattice can be obtained in simple closed form in position space, and implemented very efficiently in a stochastic fashion for practical calculations on finite lattices. In this second paper I show how the small (order 1/N) errors introduced by truncating the operators to a finite lattice may be removed by a small adjustment of coefficients, without incurring any additional computational cost. The derivation of these results is again presented in a simple, pedagogical fashion.

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