Open AccessA No-Go Theorem for the Majorana Fermion on a Lattice
Author(s) -
Hiroshi Suzuki
Publication year - 2004
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.112.855
Subject(s) - majorana , physics , fermion , lattice (music) , euclidean geometry , majorana equation , fermion doubling , majorana fermion , theoretical physics , quantum mechanics , mathematical physics , dirac fermion , mathematics , dirac sea , geometry , acoustics
A variant of the Nielsen--Ninomiya no-go theorem is formulated. This theoremstates that, under several assumptions, it is impossible to write down adoubler-free Euclidean lattice action of a single Majorana fermion in $8k$ and$8k+1$ dimensions.Comment: 8 pages, uses PTPTeX. The final version to appear in Prog. Theor. Phy
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