A strange property of lattices with an even number of sites

Details A strange property of lattices with an even number of sites A strange property of lattices with an even number of sites

2004-04-08

arxiv.org/abs/hep-lat/0404009v1

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages

Scientific paper

By examining the behaviour of the "SLAC" lattice derivative operators, it is found that lattices with an even number of sites have a somewhat strange self-consistency requirement for extra structure in the spatial derivative operator, which is not needed by lattices having an odd number of sites, and which is not at all obvious from a first-principles derivation. The general implications of this extra required structure are not, as yet, completely clear.

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