SMOOTH BOSONIZATION - THE CHESHIRE CAT REVISITED

A general method for deriving effective lagrangians is used to establish a continuous bosonization of a fermionic theory. This is achieved by introducing new fields in the path integral, and choosing different gauges in an equivalent version of the theory containing also a bosonic field. We illustrate this idea by showing the equivalence of fermions and bosons in (1 + 1) dimensions. We also demonstrate a smooth transition in space from a bosonic to a fermionic representation, providing a new class of soft Cheshire cat bag models, as well as a smooth transition in momentum space introducing effective low- and high-energy fields.