Non abelian bosonisation in three dimensional field theory
High Energy Physics - Theory
2015-06-26 v1
Abstract
We develop a method based on the generalised St\"uckelberg prescription for discussing bosonisation in the low energy regime of the SU(2) massive Thirring model in 2+1 dimensions. For arbitrary values of the coupling parameter the bosonised theory is found to be a nonabelian gauge theory whose physical sector is explicitly obtained. In the case of vanishing coupling this gauge theory can be identified with the SU(2) Yang-Mills Chern-Simons theory in the limit when the Yang-Mills term vanishes. Bosonisation identities for the fermionic current are derived.
Cite
@article{arxiv.hep-th/9607065,
title = {Non abelian bosonisation in three dimensional field theory},
author = {N. Banerjee and R. Banerjee and S. Ghosh},
journal= {arXiv preprint arXiv:hep-th/9607065},
year = {2015}
}
Comments
Latex version, 14 pages; 23 references