Boson free fields as a limit of fields of a more general type
A \(W^*\)-algebra with a group of automorphisms, an invariant state and a space of some selected self-adjoint elements are defined. By means of an averaging over the space, that consists in changing the scale of the group and a kind of renormalization of amplitude, a special class of operators that behaves like boson fields in the large scale limit is obtained. As an example it is shown that products of two fermion field operators can behave asymptotically like boson fields.
W\({}^ *\)-algebra with a group of automorphisms
scientific article; zbMATH DE number 4004950