The thirring model from the XXZ Heisenberg chain Schwinger terms

Abstract

The propertes of the Thirring model solution obtained from the XXZ Heisenberg chain are computed exactly using the Bethe Ansatz. The fermion fields, vector current, axial anomaly and equal-time current commutators are constructed explicitly on the lattice and then its continuous limit is obtained. An explicit coupling constant dependence is found for the Schwinger term. This result, together with the current correlation behavior and the conformal weights of the fields here, shows that this Thirring model solution is new. That is, it is a spin ~ solution not contained in previous families of continuous solutions.