3 research outputs found
Structural aspects of the fermion-boson mapping in two-dimensional gauge and anomalous gauge theories with massive fermions
Using a synthesis of the functional integral and operator approaches we
discuss the fermion-boson mapping and the role played by the Bose field algebra
in the Hilbert space of two-dimensional gauge and anomalous gauge field
theories with massive fermions. In the with quartic self-interaction
among massive fermions, the use of an auxiliary vector field introduces a
redundant Bose field algebra that should not be considered as an element of the
intrinsic algebraic structure defining the model. In the anomalous chiral
with massive fermions the effect of the chiral anomaly leads to the
appearance in the mass operator of a spurious Bose field combination. This
phase factor carries no fermion selection rule and the expected absence of
-vacuum in the anomalous model is displayed from the operator solution.
Even in the anomalous model with massive Fermi fields, the introduction of the
Wess-Zumino field replicates the theory, changing neither its algebraic content
nor its physical content.Comment: 26 pages, Revte