A Possible Aoki Phase for Staggered Fermions

Details A Possible Aoki Phase for Staggered Fermions A Possible Aoki Phase for Staggered Fermions

2004-10-14

arxiv.org/abs/hep-lat/0410020v1

Phys.Rev. D70 (2004) 114504

Physics

High Energy Physics

High Energy Physics - Lattice

27 pages, 8 figures, uses RevTex

Scientific paper

10.1103/PhysRevD.70.114504

The phase diagram for staggered fermions is discussed in the context of the staggered chiral Lagrangian, extending previous work on the subject. When the discretization errors are significant, there may be an Aoki-like phase for staggered fermions, where the remnant SO(4) taste symmetry is broken down to SO(3). We solve explicitly for the mass spectrum in the 3-flavor degenerate mass case and discuss qualitatively the 2+1-flavor case. From numerical results we find that current simulations are outside the staggered Aoki phase. As for near-future simulations with more improved versions of the staggered action, it seems unlikely that these will be in the Aoki phase for any realistic value of the quark mass, although the evidence is not conclusive.

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