Algebraic fermion bosonization (Q1202948)

The authors provide an algebraic fermion bosonization procedure including two steps. First of all they construct anticommuting fields out of infrared extended Bose fields in the framework of canonical extensions of C.C.R. algebras and of their non regular representations. Then, in a second step, they construct local Fermi fields as ultrastrong limits of bosonic variables in all representations which are locally Fock with respect to the ground state representation of the massless scalar field, so that, in particular, the algebraic operations commute with such limits. Recall that such a procedure was usually performed by strong limits on a dense set of states of specific bosonic models.