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Title: Possible Aoki phase for staggered fermions

Journal Article · · Physical Review. D, Particles Fields
;  [1]
  1. Physics Dept., Columbia University, New York, New York 10027 (United States)

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.

OSTI ID:
20698153
Journal Information:
Physical Review. D, Particles Fields, Vol. 70, Issue 11; Other Information: DOI: 10.1103/PhysRevD.70.114504; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English

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