Multiband models for field theories with anomalous current dimension

Abstract

We give simple examples of weakly coupled or free quantum mechanical systems that exhibit scale invariance with an anomalous dimension for a conserved current. In these models scaling as an exact symmetry only emerges in a large N limit, but it remains as an approximate symmetry even at finite N.Comment: 12 pages, 1 figure; v2: references added; v3: missing factor of z added in (5.4) and (5.5