2024/05/13 by Su, Lei, Martin, Ivar
#FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Physics (quant-ph) #Strongly Correlated Electrons (cond-mat.str-el)
paper · doi:10.48550/arxiv.2405.08093
Anomaly analysis has been an important and powerful tool in studying nonperturbative physics for decades. The anomaly inflow mechanism provides an intuitive interpretation of the bulk-boundary correspondence in topological systems. In this work, we study global anomalies of nonlocal effective theories that supposedly describe symmetry-preserving Luttinger surfaces, i.e. the manifolds of fermionic Green's function zeros in the momentum space at zero energy. We view the nonlocal effective theories including the simplest Lagrangian and its two-pole variant associated with a gapless Dirac zero as a result of integrating out some low energy states. Assuming that the states integrated out do not make extra contributions to the anomaly, we discuss the global anomaly, the bulk-boundary correspondence, and the constraint on possible phases, such as non-Fermi liquids and emergent gapless quasiparticles on Luttinger surfaces. We also provide some perspectives on why the nonlocal fermionic effective theory studied by Golterman and Shamir (arXiv: 2311.12790) is not a suitable starting point for a symmetrically gapped phase.