English

Entanglement Entropy in Integrable Field Theories with Line Defects I. Topological Defect

High Energy Physics - Theory 2017-09-13 v3

Abstract

In this paper and a companion one, 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.

Keywords

Cite

@article{arxiv.1703.03562,
  title  = {Entanglement Entropy in Integrable Field Theories with Line Defects I. Topological Defect},
  author = {Yunfeng Jiang},
  journal= {arXiv preprint arXiv:1703.03562},
  year   = {2017}
}

Comments

30 pages, references added, typos corrected