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Eigenspectra of Minimally Doubled Fermions

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arxiv 2501.10336 v2 pith:VJTXODEP submitted 2025-01-17 hep-lat

Eigenspectra of Minimally Doubled Fermions

classification hep-lat
keywords fermionsdoubledeigenspectraminimallyborici-creutzcalculatedchargechiralities
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this work, we explored the eigenspectra of minimally doubled fermions, in both Karsten-Wilczek and Borici-Creutz realizations. We generated 4-dim $SU(3)$ gauge fields with a definite topological charge and calculated the chiralities of the eigenmodes for KW and BC fermions. We used the spectral flow of the eigenvalues for this purpose and demonstrated the Index theorem.

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