Papers › Topology of SU(N) lattice gauge theories coupled with ℤ_N $2$-form gauge fields
Topology of SU(N) lattice gauge theories coupled with ℤ_N $2$-form gauge fields
Motokazu Abe, Okuto Morikawa, Soma Onoda, Hiroshi Suzuki, Yuya Tanizaki
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We extend the definition of L\"uscher's lattice topological charge to the case of $4$d SU(N) gauge fields coupled with ℤ_N $2$-form gauge fields. This result is achieved while maintaining the locality, the SU(N) gauge invariance, and 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 ℤ_N $1$-form symmetry and the θ periodicity.
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