ON GAUGE THEORIES WITH ADDITIONAL FOUR-FERMION INTERACTION

Abstract
In the ladder QED with four-fermion interaction, the anomalous dimension γm of the operator 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 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.
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