Wess-Zumino-Witten term on the lattice

Takanori Fujiwara, Hiroshi Suzuki, Kosuke Matsui, Masaru Yamamoto

研究成果: Contribution to journalArticle査読

2 被引用数 (Scopus)

抄録

We construct the Wess-Zumino-Witten (WZW) term in lattice gauge theory by using a Dirac operator which obeys the Ginsparg-Wilson relation. Topological properties of the WZW term known in the continuum are reproduced on the lattice as a consequence of a non-trivial topological structure of the space of admissible lattice gauge fields. In the course of this analysis, we observe that the gauge anomaly generally implies that there is no basis of a Weyl fermion which leads to a single-valued expectation value in the fermion sector. The lattice Witten term, which carries information of a gauge path along which the gauge anomaly is integrated, is separated from the WZW term and the multivaluedness of the Witten term is shown to be related to the homotopy group π2n+1(G). We also discuss the global SU(2) anomaly on the basis of the WZW term.

本文言語英語
ページ(範囲)317-342
ページ数26
ジャーナルJournal of High Energy Physics
7
9
DOI
出版ステータス出版済み - 9 1 2003
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

フィンガープリント

「Wess-Zumino-Witten term on the lattice」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル