QUANTUM-FIELD THEORY, BOSONIZATION AND DUALITY ON THE HALF LINE

We develop a bosonization procedure on the half line. Different bounda ry conditions, formulated in terms of the vector and axial fermion cur rents, are implemented by using in general the mixed boundary conditio n on the bosonic field. The interplay between symmetries and boundary conditions is investigated in this context, with a particular emphasis on duality. As an application, we explicitly construct operator solut ions of the massless Thirring model on the half line, respecting diffe rent boundary conditions. (C) 1998 Published by Elsevier Science B.V.