2014/02/28 by Andrei Patrascu · 1 citation
Physics and Astronomy · #physics.gen-ph #cond-mat.str-el
paper · pdf · doi:10.3390/condmat2020013
published as Condens. Matter 2017, 2(2), 13 · 27 pages in total, comments are welcome
arxiv created 2015/07/04 · arxiv updated 2017/10/23
In this paper a loophole in the SU(2) gauge anomaly is presented. It is shown that using several topological tools a theory can be designed that implements the quantization of a single Weyl doublet anomaly free while keeping the non-abelian character of the particle in the theory. This opens the perspective for non-Abelian statistics of deconfined particle like objects in 3+1 dimensions and for applications in Quantum Computing. Moreover, if this loophole cannot be closed, old arguments related to anomaly cancelations must be reviewed.