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arxiv: 1312.0527 · v3 · pith:PC2F7CDOnew · submitted 2013-12-02 · ✦ hep-th · math-ph· math.MP

Massive fermions in 2+1 dimensions

classification ✦ hep-th math-phmath.MP
keywords fieldsdimensionsfieldmassivepropagatorsstructurearisebehaviour
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We construct the higher-spin massive fermionic fields in 2+1 dimensions. Their field equations and propagators are derived from first principle. For fields with j>1/2, complications arise from the non-linear behaviour of the boost operators. We find that for a spin-three-half field, the non-linearity have an underlying structure that guarantees the locality of the fields and the existence of covariant propagators. We conjecture that this structure exists for fields of all spin.

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