Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators
arXiv:2105.02598 · doi:10.1103/PhysRevD.103.125019
Abstract
This is an extended version of the previous paper arXiv:2103.05303 to study entanglement entropy (EE) of a half space in interacting field theories. In the previous paper, we have proposed a novel method to calculate EE based on the notion of gauge theory on Feynman diagrams, and shown that EE consists of two particular contributions, one from a renormalized two-point correlation function in the two-particle irreducible (2PI) formalism and another from interaction vertices. In this paper, we further investigate them in more general field theories and show that the non-Gaussian contributions from vertices can be interpreted as renormalized correlation functions of composite operators.
42 pages, 15 figures; typos corrected, discussion on general configurations of twists extended in Sec.VII, version to appear in PRD (v2)
References in corpus (18)
- Entanglement Entropy in the O(N) model
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- Quantum Dimension as Entanglement Entropy in 2D CFTs
- Some Calculable Contributions to Entanglement Entropy
- Numerical study of entanglement entropy in SU(2) lattice gauge theory
- Entanglement of Local Operators in large N CFTs
- Entanglement Entropy: A Perturbative Calculation
- Notes on Quantum Entanglement of Local Operators
- Twist operators in higher dimensions
- Entanglement Entropy for Relevant and Geometric Perturbations
- Entanglement Entropy in Scalar Field Theory
- Renyi Entanglement Entropy of Interacting Fermions Calculated Using Continuous-Time Quantum Monte Carlo Method
- Entanglement entropy of the large Wilson-Fisher conformal field theory
- Entanglement of Quantum Fluctuations in the Inflationary Universe
- Entanglement entropy, planar surfaces, and spectral functions
- Scattering effect on entanglement propagation in RCFTs
- Entropy of a subalgebra of observables and the geometric entanglement entropy
- Quantum Entanglement of Locally Excited States in Maxwell Theory