Lieb-Schultz-Mattis, Luttinger, and 't Hooft - anomaly matching in lattice systems
Lieb-Schultz-Mattis, Luttinger, and 't Hooft - anomaly matching in lattice systems
We analyze lattice Hamiltonian systems whose global symmetries have 't Hooft anomalies. As is common in the study of anomalies, they are probed by coupling the system to classical background gauge fields. For flat fields (vanishing field strength), the nonzero spatial components of the gauge fields can be thought of …