The flavour projection of staggered fermions and the quarter-root trick

Details The flavour projection of staggered fermions and the quarter-root trick The flavour projection of staggered fermions and the quarter-root trick

2007-06-14

arxiv.org/abs/0706.2090v1

JHEP 0706:048,2007

Physics

High Energy Physics

High Energy Physics - Lattice

8 pages, including title page

Scientific paper

10.1088/1126-6708/2007/06/048

It is shown that the flavour projection of staggered fermions can be written as a projection between the fields on four separate, but parallel, lattices, where the fields on each are modified forms of the standard staggered fermion field. Because the staggered Dirac operator acts equally on each lattice, it respects this flavour projection. We show that the system can be gauged in the usual fashion and that this does not interfere with flavour projection. We also consider the path integral, showing that, prior to flavour projection, it evaluates to the same form on each lattice and that this form is equal to that used in the quarter-root trick. The flavour projection leaves a path integral for a single flavour of field on each lattice.

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