2017/03/31 by Yunfeng Jiang
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bipartite graph #Black Holes and Theoretical Physics #Discrete mathematics #Entropy (arrow of time) #Integrable system #Ising model #Joint quantum entropy #Logarithm #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Topological entropy in physics #Topological quantum number #hep-th
paper · pdf · doi:10.1007/jhep08(2017)013
30 pages, references added, typos corrected, publication version
openalex publication_date 2017/08/01 · arxiv created 2017/08/14 · arxiv updated 2017/09/13 · openalex created_date 2020/02/24 · openalex updated_date 2026/08/05
This is the second part of two papers where we study the effect of integrable line defects on bipartite entanglement entropy in integrable field theories. In this paper, we consider non-topological line defects in Ising field theory. We derive an infinite series expression for the entanglement entropy and show that both the UV and IR limits of the bulk entanglement entropy are modified by the line defect. In the UV limit, we give an infinite series expression for the coefficient in front of the logarithmic divergence and the exact defect g-function. By tuning the defect to be purely transmissive and reflective, we recover correctly the entanglement entropy of the bulk and with integrable boundary respectively.