Entanglement entropy in integrable field theories with line defects. Part I. Topological defect

• Main Author: Yunfeng Jiang
• Format: Article
• Language: English
• Published: SpringerOpen 2017-07-01
• Series: Journal of High Energy Physics
• Subjects: Bethe Ansatz; Field Theories in Lower Dimensions; Integrable Field Theories
• Online Access: http://link.springer.com/article/10.1007/JHEP07(2017)127

Abstract In this paper and a companion one [1], we study the effect of integrable line defects on entanglement entropy in massive integrable field theories in 1+1 dimensions. The current paper focuses on topological defects that are purely transmissive. Using the form factor bootstrap method, we show that topological defects do not affect the the entanglement entropy in the UV limit and modify slightly the leading exponential correction in the IR. This conclusion holds for both unitary and non-unitary field theories. In contrast, non-topological defects affect the entanglement entropy more significantly both in UV and IR limit and will be studied in the companion paper.