Role of spatial higher order derivatives in momentum space entanglement
arXiv:1702.08655 · doi:10.1103/PhysRevD.95.065023
Abstract
We study the momentum space entanglement between different energy modes of interacting scalar fields propagating in general (D + 1)-dimensional flat space-time. As opposed to some of the recent works [1], we use Lorentz invariant normalized ground state to obtain the momentum space entanglement entropy. We show that the Lorenz invariant definition removes the spurious power-law behaviour obtained in the earlier works [1]. More specifically, we show that the cubic interacting scalar field in (1 + 1) dimensions leads to logarithmic divergence of the entanglement entropy and consistent with the results from real space entanglement calculations. We study the effects of the introduction of the Lorentz violating higher derivative terms in the presence of non-linear self inter- acting scalar field potential and show that the divergence structure of the entanglement entropy is improved in the presence of spatial higher derivative terms.
arXiv commentAccepted in Phys. Rev. D; 6 pages
References in corpus (12)
- Quantum entanglement
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Entropy and Area
- Virtual Quantum Subsystems
- Momentum-space entanglement and renormalization in quantum field theory
- Entanglement or separability: The choice of how to factorize the algebra of a density matrix
- How robust is the entanglement entropy-area relation?
- Entanglement in Relativistic Quantum Field Theory
- Bose-Fermi duality and entanglement entropies
- Zero modes and divergence of entanglement entropy
- Entanglement signatures of phase transition in higher-derivative quantum field theories
Cited by in corpus (10)
- Entanglement Entropy of Cosmological Perturbations
- Relativistic effect of entanglement in fermion-fermion scattering
- Quantum entanglement in cosmology
- Real-space quantum-to-classical transition of time dependent background fluctuations
- Superhorizon entanglement from inflationary particle production
- Production of ultralight dark matter from inflationary spectator fields
- Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields
- Entanglement entropy of cosmological perturbations for S-brane Ekpyrosis
- Perturbative approach to the entanglement entropy and the area law in Fock and polymer quantization
- The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes