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arxiv: hep-lat/0407010 · v2 · pith:K5RGOKGSnew · submitted 2004-07-07 · ✦ hep-lat · hep-th

A no-go theorem for the Majorana fermion on a lattice

classification ✦ hep-lat hep-th
keywords theoremfermionlatticemajoranano-goactionassumptionsdimensions
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A variant of the Nielsen--Ninomiya no-go theorem is formulated. This theorem states that, under several assumptions, it is impossible to write down a doubler-free Euclidean lattice action of a single Majorana fermion in $8k$ and $8k+1$ dimensions.

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