ON GAUGE THEORIES WITH ADDITIONAL FOUR-FERMION INTERACTION

Abstract

In the ladder QED with four-fermion interaction, the anomalous dimension γm of the operator [Formula: see text] is calculated on the full critical line. It is shown that in the nonperturbative phase with the gauge coupling α(0)< αc = π/3, the dynamical dimension [Formula: see text] is smaller than two (γm > 1) near the critical line. This suggests that gauge theories with fourfermion interaction may be renormalizable. The applications of these theories to the technicolor models are discussed.