Functional bosonization of a Dirac field in 2 + 1 dimensions, in the presence of a boundary

C.D. Fosco, F.A. Schaposnik
2018 Physics Letters B  
We apply the functional bosonization procedure to a massive Dirac field defined on a 2+1 dimensional spacetime which has a non-trivial boundary. We find the form of the bosonized current both for the bulk and boundary modes, showing that the gauge field in the bosonized theory contains a perfect-conductor boundary condition on the worldsheet spanned by the boundary. We find the bononized action for the corresponding boundary modes.
doi:10.1016/j.physletb.2018.05.032 fatcat:pge6i2gyifclpgbntpypkpppmm