Entanglement Entropy in Scalar Quantum Electrodynamics

Abstract

We find the entanglement entropy of a subregion of the vacuum state in scalar quantum electrodynamics, working perturbatively to the 2-loops level. Doing so leads us to derive the Maxwell-Proca propagator in conical Euclidean space. The area law of entanglement entropy is recovered in both the massive and massless limits of the theory, as is expected. These results yield the renormalisation group flow of entanglement entropy, and we find that loop contributions suppress entanglement entropy. We highlight these results in the light of the renormalization group flow of couplings and correlators, which are increased in scalar quantum electrodynamics, so that the potential tension between the increase in correlations between two points of spacetime and the decrease in entanglement entropy between two regions of spacetime with energy is discussed. We indeed show that the vacuum of a subregion of spacetime purifies with energy in scalar quantum electrodynamics, which is related to the concept of screening.

10 pages, 1 figure

References in corpus (8)

• Towards a derivation of holographic entanglement entropy
• A Spin Entanglement Witness for Quantum Gravity
• Entanglement Entropy in the O(N) model
• Entanglement in neutrino oscillations
• Entanglement Entropy in Scalar Field Theory
• Variation of Entanglement Entropy in Scattering Process
• Distinguishing Jordan and Einstein frames in gravity through entanglement
• Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators

Cited by in corpus (4)

• In-in formalism for the entropy of quantum fields in curved spacetimes
• Investigating entropic dynamics of multiqubit cavity QED system
• Relativistic Effects on Entangled Single-Electron Traps
• Scattering Entanglement Entropy and Its Implications for Electroweak Phase Transitions