Absence of a charge renormalization in the Higgs model interacting with   conformal two-dimensional gravity
  We discuss D-dimensional scalar and electromagnetic fields interacting with a quantized metric. The gravitons depend solely on twodimensional coordinates. We consider a conformal field theory model for the metric tensor. We show that an interaction with gravity improves the short distance behaviour. As a result there is no charge renormalization in the fourdimensional Higgs model. 
Z. Haba (Wroclaw University)