GENERALIZED STATISTICS FIELDS AND THE TWO-DIMENSIONAL DERIVATIVE-COUPLING MODEL REVISITED

Abstract

We reexamine the two-dimensional derivative-coupling model within the operator approach that takes into account the quantum corrections of the fully bosonized Hamiltonian. As a consequence of the fact that there is no true spin-statistics theorem in two dimensions, the operator solution is rewritten in terms of a generalized Mandelstam soliton operator with continuous Lorentz spin (generalized statistics). The particular case corresponding to the Schroer model is considered: the effect of the vector-current-derivative coupling is to give a noncanonical scale dimension for the underlying free Fermi field promoting it to a free Mandelstam operator with generalized statistics.