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QCD with Flavored Minimally Doubled Fermions

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arxiv 1611.08388 v1 pith:DW737JFP submitted 2016-11-25 hep-lat

classification hep-lat
keywords fermionskarsten-wilczekdiscussdoubledflavorlatticeminimallynon-singlet
verification ladder T0 review T1 audit T2 compute T3 formal
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I discuss minimally doubled fermions fermions as an ultra-local formulation on the lattice for sea quarks that realize a non-singlet chiral symmetry. I introduce a non-singlet mass term for Karsten-Wilczek fermions and identify the appropriate representation of the SU(2) flavor group at finite lattice spacing. I present an algebraic proof that the symmetry of the quark determinant under charge conjugation and reflections of the Euclidean axes is preserved for Karsten-Wilczek fermions as sea quarks. Finally, I discuss how the flavor components in meson correlation functions with Karsten-Wilczek fermions emerge naturally and I show how taste-breaking can be avoided without fine tuning.

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Cited by 1 Pith paper

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  1. Taste breaking in the minimally doubled Karsten-Wilczek action and its tree-level improvement

    hep-lat 2025-02 conditional novelty 6.0 of 10

    A tree-level Naik improvement of the Karsten-Wilczek lattice fermion action reduces taste breaking and noise in mixed-action tests, bringing its continuum pion decay constant in line with staggered results.

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