English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We reinvestigate the classic example of chiral anomaly in (1+1) dimensionalspacetime. By reviewing the derivation of charge conservation with thesemiclassical Boltzmann equation, we argue that chiral anomalies could emergein (1+1) dimensions without Berry curvature corrections to the kinetic theory.The pivotal step depends only on the asymptotic behavior of the distributionfunction of the quasiparticle, and thus its dispersion relation, in the limitof $|\mathbf p|\to\pm\infty$ rather than the detailed functional form of thedispersion. We address two subjects motivated by this observation. One concernsreformulating (1+1) dimensional chiral anomaly using kinetic theory with thecurrent algebra approach and the gradient expansion of the Dirac Lagrangian,adding a complementary perspective to the existing approaches. The otherdemonstrates the universality of chiral anomaly across various quasiparticledispersions. For two-band models linear in the temporal derivative, withFujikawa's method we show it is sufficient tohave a chirality-odd strictlymonotonic dispersion in order to exhibit chiral anomaly.

Chiral anomaly in (1+1) dimensions revisited: complementary kinetic perspective and universality