Hsiao, Wei-HanWei-HanHsiaoCHIAO-HSUAN WANG2025-08-042025-08-042024-11-15https://scholars.lib.ntu.edu.tw/handle/123456789/730923We reinvestigate the classic example of the chiral anomaly in (1 + 1) dimensional spacetime.By reviewing the derivation of charge conservation using the semiclassical Boltzmann equation, we show that chiral anomalies could emerge in (1 + 1) dimensions without Berry curvature corrections to the kinetic theory.The pivotal step depends only on the asymptotic behavior of the distribution function of the quasiparticle - and thus its dispersion relation - in the limit of p → ±∞ rather than the detailed functional form of the dispersion.We address two subjects motivated by this observation.First, we reformulate (1 + 1)-dimensional chiral anomaly using kinetic theory with the current algebra approach and the gradient expansion of the Dirac Lagrangian, adding a complementary perspective to existing approaches.Second, we demonstrate the universality of the chiral anomaly across various quasiparticle dispersions.For two-band models linear in the temporal derivative, with Fujikawa's method we show it is sufficient to have a chirality-odd strictly monotonic dispersion in order to exhibit the chiral anomaly.journal article10.7566/jpsj.93.114006