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arXiv · hep-th/9607065

Non abelian bosonisation in three dimensional field theory

N. Banerjee·R. Banerjee·S. Ghosh
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Abstract

We develop a method based on the generalised Stückelberg 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.

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N. Banerjee, R. Banerjee, S. Ghosh. 1996-07-08. Non abelian bosonisation in three dimensional field theory. https://doi.org/10.1016/s0550-3213(96)90147-9

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