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arxiv: hep-th/9607065 · v1 · pith:L7UG2A6Bnew · submitted 1996-07-08 · ✦ hep-th

Non abelian bosonisation in three dimensional field theory

classification ✦ hep-th
keywords theorybosonisationcouplinggaugeyang-millsabelianarbitrarybosonised
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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.

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