Fermionisation of a Two-dimensional Free Massless Complex Scalar Field

Recently, it has been shown that the massless Schwinger model, namely two-dimensional massless spinor electrodynamics, may be solved exactly through the bosonisation of the massless fermion without having recourse to any gauge fixing procedure. With this background in mind, and the possible resolution of massless scalar electrodynamics in two-dimensional Minkowski spacetime compactified into the cylinder geometry for the space coordinate, in this communication we discuss the fermionisation of a massless complex scalar field. As is the case for the Schwinger model, one may expect that this could lead to nonlinear realisations of gauge symmetries for fermionic fields. Fermionisation is the process of writing bosonic variables in terms of fermionic ones, with the aim here to solve exactly the 2-dimensional scalar electrodynamics model. The model we are interested in is the free massless