Massive fermions in 2+1 dimensions
High Energy Physics - Theory
2015-04-27 v3 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.1312.0527,
title = {Massive fermions in 2+1 dimensions},
author = {Cheng-Yang Lee},
journal= {arXiv preprint arXiv:1312.0527},
year = {2015}
}
Comments
11 pages, no figures. New results on higher-spin fields added