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

preprint2004arXivOpen access

Abstract

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 8k8k and 8k+18k+1 dimensions.

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