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Comments on staggered fermions / Panel discussion

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arxiv 0810.4526 v1 pith:VKA22AND submitted 2008-10-24 hep-lat

classification hep-lat
keywords effectsfermionsflavorlargestaggeredalgorithmapproachapproximation
verification ladder T0 review T1 audit T2 compute T3 formal

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The rooting procedure commonly used with staggered fermions does not correctly treat non-perturbative effects associated with gauge field topology. In practice these effects are small for the physics of flavor non-singlet particles. However large uncontrolled systematic errors are expected for flavor singlet issues, such as the mass of the eta prime meson. While the relative speed of the algorithm in large scale simulations may justify its use, the method is an approximation and should not be promoted as a first principles approach to the strong interactions.

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  1. A curious behavior of three-dimensional lattice Dirac operators coupled to monopole background

    hep-lat 2019-08 conditional novelty 6.0 of 10

    Overlap-Dirac fermions preserve the parity-doubling of the spectrum in a singular monopole background, while naive and Wilson-Dirac fermions break the degeneracy of the Q lowest modes even in the continuum limit.

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