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First dynamical simulations with minimally doubled fermions

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arxiv 2401.07651 v1 pith:S5AHQINW submitted 2024-01-15 hep-lat

classification hep-lat
keywords fermionsdoubledminimallycounter-termsdegeneratedynamicalflavorsrooting
verification ladder T0 review T1 audit T2 compute T3 formal
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For thermodynamics studies it is desirable to simulate two degenerate flavors and retain at least a remnant of the chiral symmetry. Staggered fermions can achieve this at the cost of rooting the determinant. Rooting can be avoided using minimally doubled fermions. This discretization describes two degenerate quark flavors while explicitly breaking hyper-cubic symmetry, thus, requiring additional counter-terms. We use one particular formulation of minimally doubled fermions called the Kirsten-Wilczek action and mitigate lattice artifacts by improving the spatial derivatives in the Dirac operator. In this pilot study we determine the counter-terms non-perturbatively to facilitate proper dynamical simulations.

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  1. Eigenspectra of Minimally Doubled Fermions

    hep-lat 2025-01 conditional novelty 4.0 of 10

    Numerical spectral flow and modified chirality operators show that Karsten-Wilczek and Borici-Creutz minimally doubled fermions satisfy the index theorem on an 8^4 SU(3) lattice with Q_top = -2.

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