Which Higgs-Yukawa systems can possess non-trivial fixed points

Abstract

We argue that non-trivial fixed points bordering on the paramagnetic and ferromagnetic phases are most likely to exist in the Higgs-Yukawa systems that have a connected domain with the paramagnetic phase and no ferrimagnetic phase. We find three examples of such systems; among them is the U(1) system with naive fermions.

Comments: 3 pages, 2 figures (not appended), LaTeX, espcrc2.sty, contribution to "Lattice '94"