BOSONIZATION IN 2-SIMONS TERM(1 DIMENSIONS WITHOUT A CHERN)

We perform the complete bosonization of 2+1 dimensional QED with one f ermionic flavor in the Hamiltonian formalism. The fermion operators ar e explicitly constructed in terms of the vector potential and the elec tric field. We carefully specify the regularization procedure involved in the definition of these operators, and calculate the fermionic bil inears and the energy-momentum tenser. The algebra of bilinears exhibi ts the Schwinger terms which also appear in perturbation theory. The b osonic Hamiltonian density is a local polynomial function of A(i) and E(i), and we check explicitly the Lorentz invariance of the resulting bosonic theory. Our construction is conceptually very similar to Mande lstam's construction in 1+1 dimensions, and is dissimilar from the rec ent bosonization attempts in 2+1 dimensions which hinge crucially on t he existence of a Chern-Simons term.