More about the axial anomaly on the lattice

Hiroshi Igarashi, Kiyoshi Okuyama, Hiroshi Suzuki

Research output: Contribution to journalArticle

12 Citations (Scopus)


We study the axial anomaly defined on a finite-size lattice by using a Dirac operator which obeys the Ginsparg-Wilson relation. When the gauge group is U(1), we show that the basic structure of axial anomaly on the infinite lattice, which can be deduced by a cohomological analysis, persists even on (sufficiently large) finite-size lattices. For non-Abelian gauge groups, we propose a conjecture on a possible form of axial anomaly on the infinite lattice, which holds to all orders in perturbation theory. With this conjecture, we show that a structure of the axial anomaly on finite-size lattices is again basically identical to that on the infinite lattice. Our analysis with the Ginsparg-Wilson-Dirac operator indicates that, in appropriate frameworks, the basic structure of axial anomaly is quite robust and it persists even in a system with finite ultraviolet and infrared cutoffs.

Original languageEnglish
Pages (from-to)383-394
Number of pages12
JournalNuclear Physics B
Issue number1-2
Publication statusPublished - Nov 11 2002
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this