Anomalous massless modes

摘要: Some years ago Anton Yu. Alekseev et al. conjectured the existence of massless modes in spectrum excitations ("anomalous modes") building upon certain similarities between a spontaneous symmetry breaking and interplay axial vector symmetries an anomalous theory. We reinterpret analogy argue that presence these is ensured any (even) number dimensions only by excitation anomaly-induced terms called Schwinger terms. In 1+1 mode corresponds to charge density wave present Luttinger liquid. 3+1 dimensions, we identify with so-called chiral magnetic wave. Our analysis shows both arise as consequence same physics.