Quantum "solitons" which areSU(N)fermions

Abstract

In two dimensions, we find a construction for an $\mathrm{SU}\mathrm{}\left(N\right)\mathrm{}$ quark field in terms of $N$ real Bose fields. Hence, equivalence is shown between certain massive $\mathrm{SU}\mathrm{}\left(N\right)\mathrm{}$ Thirring models and systems of quantum sine-Gordon-type equations. From the point of view of the bosons, the "soliton-quark" $\mathrm{SU}\mathrm{}\left(N\right)\mathrm{}$ is topological. To minimize guesswork in the development of such correspondences, we employ a systematic blend of Mandelstam's operator approach with the interaction picture.