Wess-Zumino-Witten term on the lattice

Details Wess-Zumino-Witten term on the lattice Wess-Zumino-Witten term on the lattice

2003-07-31

arxiv.org/abs/hep-lat/0307031v2

JHEP 0309 (2003) 015

Physics

High Energy Physics

High Energy Physics - Lattice

28 pages, 9 Postscript figures, uses JHEP3.cls, epsfig.sty and amsfonts.sty. The final version to appear in JHEP

Scientific paper

10.1088/1126-6708/2003/09/015

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 $\pi_{2n+1}(G)$. We also discuss the global $\SU(2)$ anomaly on the basis of the WZW term.

Affiliated with

Also associated with

No associations

Rating

Wess-Zumino-Witten term on the lattice does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wess-Zumino-Witten term on the lattice, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wess-Zumino-Witten term on the lattice will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-333690