Sine-Gordon theory: Entanglement entropy and holography

2016/10/31 by Pinaki Banerjee, Atanu Bhatta, B. Sathiapalan · 4 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Geometry #Holography #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum #Quantum entanglement #Quantum mechanics #Scalar field #Sine #cond-mat.str-el #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.96.126014

published in Physical review. D/Physical review. D. 96(12) (American Physical Society) · 34 pages, 7 figures; v2 : analysis generalized to finite sub-systems, computation using twist fields added as an appendix, references added, matches version to be published in Phys. Rev. D

arxiv created 2017/12/06 · openalex publication_date 2017/12/27 · arxiv updated 2017/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute change in entanglement entropy for a single interval in the 1+1-dimensional sine-Gordon model perturbatively in the coupling. The sine-Gordon perturbation can be thought of as deformation of the free conformal field theory by a primary operator with dimension \mathrm\ensuremathΔ. In an independent computation we calculate holographic entanglement entropy for that interval from three-dimensional bulk anti--de Sitter space which has a massive scalar with its mass satisfying m²=\mathrm\ensuremathΔ(\mathrm\ensuremathΔ\ensuremath-2). We show that the two results match for near-marginal perturbations up to leading order in the coupling.

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Cited by

• Exact Renormalization Group and Sine Gordon Theory