Locally Generated Dilatation Charge in the Thirring Model

Abstract

By applying a "normal-product quantization" the energy-momentum tensor of the Thirring model is constructed as a local function of the Thirring fields. It is shown that the commutation relation of the dilatation current with the field is anomalous, and that the space integrals converge on a dense set of states to the group generators. The appearance of anomalous dimensions for local products of Thirring fields is discussed in the special case of a bilinear mass interaction.