In lattice field theory, fermion doubling occurs when naively putting fermionic fields on a lattice, resulting in more fermionic states than expected. We consider a recently discovered mathematical correspondence between the spectra of a naively discretized lattice fermion and that of a periodically driven (i.e., floquet). Most strategies used to solve the problem require using modified fermions which.
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The neutrinos were expected to be weyl fermions, but it was hard to find a lattice theory that. The generation construction is that spacetime has a lattice like structure, and putting an electron fermion field on this spacetime results in a fermion doubling, leading to muons and. After such a limit one finds.
The fermion doubling theorem plays a pivotal role in hermitian topological materials.
Recall that the fermion doubling is the problem in taking the $a \to 0$ limit of a naively discretized fermionic theory (defined on a lattice with lattice spacing $a$).
