Entanglement entropy in scalar field theory on the fuzzy sphere
arXiv:1512.06484 · doi:10.1093/ptep/ptv192
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.
17 pages, 7 figures, to be published in PTEP
References in corpus (6)
- Numerical study of entanglement entropy in SU(2) lattice gauge theory
- Matrix Geometry and Coherent States
- Finite temperature phase transition of a single scalar field on a fuzzy sphere
- Entanglement Entropy on Fuzzy Spaces
- Existence of new nonlocal field theory on noncommutative space and spiral flow in renormalization group analysis of matrix models
- Mutual information on the fuzzy sphere
Cited by in corpus (10)
- Chaos and entanglement spreading in a non-commutative gauge theory
- Deep Quantum Geometry of Matrices
- Second moment fuzzy-field-theory-like matrix models
- Matrix Entanglement
- Emergent Area Laws from Entangled Matrices
- Momentum-space entanglement in scalar field theory on fuzzy spheres
- Entanglement entropy on a fuzzy sphere with a UV cutoff
- Correlation functions and renormalization in a scalar field theory on the fuzzy sphere
- A generalized volume law for entanglement entropy on the fuzzy sphere
- Beyond second-moment approximation in fuzzy-field-theory-like matrix models