Speaker
Motokazu Abe
(Kyushu University)
Description
We extend the definition of L\"uscher's lattice topological charge to the case
of $4$d $SU(N)$ gauge fields coupled with $\mathbb{Z}_N$ $2$-form gauge fields.
This result is achieved while maintaining the locality, the $SU(N)$ gauge
invariance, and $\mathbb{Z}_N$ $1$-form gauge invariance, and we find that the
manifest $1$-form gauge invariance plays the central role in our construction.
This result gives the lattice regularized derivation of the mixed 't~Hooft
anomaly in pure $SU(N)$ Yang--Mills theory between its $\mathbb{Z}_N$ $1$-form
symmetry and the $\theta$ periodicity.
| Topical area | Theoretical Developments |
|---|
Primary authors
Hiroshi Suzuki
(Kyushu Univ.)
Motokazu Abe
(Kyushu University)
Okuto Morikawa
(Osaka University)
Mr
Soma Onoda
(Kyushu Univ,)
Yuya Tanizaki
(University of Tokyo / RIKEN)