Topological defects in nonlocal field theories

Abstract: We consider the topological defects in the context of nonlocal field theories in which Lagrangians contain infinite-order differential operators. In particular, we analyze domain walls. We first determine the asymptotic behavior of the nonlocal domain wall close to the vacua. For the specific domain wall solution under investigation, we derive a theoretical constraint on the nonlocality energy scale, which must be larger than the corresponding symmetry-breaking scale. Subsequently, we find that nonlocality makes the width of the domain wall thinner and the energy per unit area smaller compared to the local case. This talk is based on arXiv:2203.04942.