More about the axial anomaly on the lattice

Hiroshi Igarashi, Kiyoshi Okuyama, Hiroshi Suzuki

研究成果: Contribution to journalArticle査読

12 被引用数 (Scopus)

抄録

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.

本文言語英語
ページ(範囲)383-394
ページ数12
ジャーナルNuclear Physics B
644
1-2
DOI
出版ステータス出版済み - 11 11 2002
外部発表はい

All Science Journal Classification (ASJC) codes

  • 核物理学および高エネルギー物理学

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