Validity of the Rooted Staggered Determinant in the continuum limit

Details Validity of the Rooted Staggered Determinant in the continuum limit Validity of the Rooted Staggered Determinant in the continuum limit

2006-04-12

arxiv.org/abs/hep-lat/0604010v1

Phys.Rev. D74 (2006) 014511

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, 8 figures, REVTeX4

Scientific paper

10.1103/PhysRevD.74.014511

We investigate the continuum limit of the rooted staggered determinant in the 2-dimensional Schwinger model. We match both the unrooted and rooted staggered determinant with an overlap fermion determinant of two (one) flavors and a local pure gauge effective action by fitting the coefficients of the effective action and the mass of the overlap operator. The residue of this fit measures the difference of the staggered and overlap fermion actions. We show that this residue scales at least as O(a^2), implying that any difference, be it local or non-local, between the staggered and overlap actions becomes irrelevant in the continuum limit. This observation justifies the rooting procedure.

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