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Why rooting fails

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arxiv 0708.1295 v2 pith:J5J5G4Y6 submitted 2007-08-09 hep-lat

Michael Creutz This is my paper · ORCID
classification hep-lat
keywords rootingstaggeredsymmetrytastesalgorithmsappearanceaveragesaveraging
verification ladder T0 review T1 audit T2 compute T3 formal

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I explore the origins of the unphysical predictions from rooted staggered fermion algorithms. Before rooting, the exact chiral symmetry of staggered fermions is a flavored symmetry among the four "tastes." The rooting procedure averages over tastes of different chiralities. This averaging forbids the appearance of the correct 't Hooft vertex for the target theory.

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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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