Sine-Gordon Theory : Entanglement entropy and holography
High Energy Physics - Theory
2017-12-29 v2 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
Abstract
We compute change in entanglement entropy for a single interval in dimensional sine-Gordon model perturbatively in the coupling. The sine-Gordon perturbation can be thought of as deformation of the free CFT by a primary operator with dimension . In an independent computation we calculate holographic entanglement entropy for that interval from three dimensional bulk AdS which has a massive scalar with its mass satisfying . We show that the two results match for near-marginal perturbations upto leading order in the coupling.
Keywords
Cite
@article{arxiv.1610.04233,
title = {Sine-Gordon Theory : Entanglement entropy and holography},
author = {Pinaki Banerjee and Atanu Bhatta and B. Sathiapalan},
journal= {arXiv preprint arXiv:1610.04233},
year = {2017}
}
Comments
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