Entanglement entropy in scalar field theory on the fuzzy sphere

Authors :: Asato Tsuchiya
Shizuka Okuno
Mariko Suzuki
Source :: Progress of Theoretical and Experimental Physics
Publication Year :: 2016
Publisher :: Oxford University Press/Physical Society of Japan, 2016.
Abstract: We study entanglement entropy on the fuzzy sphere. We calculate it in a scalar field theory on the fuzzy sphere, which is given by a matrix model. We use a method that is based on the replica method and applicable to interacting fields as well as free fields. For free fields, we obtain the results consistent with the previous study, which serves as a test of the validity of the method. For interacting fields, we perform Monte Carlo simulations at strong coupling and see a novel behavior of entanglement entropy.<br />Comment: 17 pages, 7 figures, to be published in PTEP