Entanglement entropy of two disjoint intervals in conformal field theory II

Details Entanglement entropy of two disjoint intervals in conformal field theory II Entanglement entropy of two disjoint intervals in conformal field theory II

2010-11-24

arxiv.org/abs/1011.5482v1

J.Stat.Mech.1101:P01021,2011

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 4 figures

Scientific paper

10.1088/1742-5468/2011/01/P01021

We continue the study of the entanglement entropy of two disjoint intervals in conformal field theories that we started in J. Stat. Mech. (2009) P11001. We compute Tr\rho_A^n for any integer n for the Ising universality class and the final result is expressed as a sum of Riemann-Siegel theta functions. These predictions are checked against existing numerical data. We provide a systematic method that gives the full asymptotic expansion of the scaling function for small four-point ratio (i.e. short intervals). These formulas are compared with the direct expansion of the full results for free compactified boson and Ising model. We finally provide the analytic continuation of the first term in this expansion in a completely analytic form.

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