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Boundary states and finite size effects in sine-Gordon model with Neumann boundary condition |
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| Affiliation: | 1. School of Automation and Guangdong Key Laboratory of IoT Information Technology, Guangdong University of Technology, Guangzhou, Guangdong, China;2. State Key Laboratory of Industrial Control Technology and Institute of Cyber-Systems & Control, Zhejiang University, Hangzhou, Zhejiang, China;3. School of Mathematics & Statistics, Southwest University, Chongqing, China;4. Faculty of Mechanical Engineering & Mechanics, Ningbo University, Ningbo, Zhejiang, China |
| Abstract: | The sine-Gordon model with Neumann boundary condition is investigated. Using the bootstrap principle the spectrum of boundary bound states is established. Somewhat surprisingly it is found that Coleman–Thun diagrams and bound state creation may coexist. A framework to describe finite size effects in boundary integrable theories is developed and used together with the truncated conformal space approach to confirm the bound states and reflection factors derived by bootstrap. |
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