Entanglement, Soft Modes, and Celestial Holography
arXiv:2308.12341 · doi:10.1103/PhysRevD.109.L121702
Abstract
We evaluate the vacuum entanglement entropy across a cut of future null infinity for free Maxwell theory in four-dimensional Minkowski spacetime. The Weyl invariance of 4D Maxwell theory allows us to embed the Minkowski spacetime inside the Einstein static universe. The Minkowski vacuum can then be described as a thermofield double state on the (future) Milne wedges of the original and inverted Minkowski patches. We show that the soft mode contribution to entanglement entropy is due to correlations between asymptotic charges of these Milne wedges or, equivalently, nontrivial conformally soft (or edge) mode configurations at the entangling surface.
9 pages, 4 figures; slight reorganization and shortening in v2 for published version; references added; minor typos corrected
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Cited by in corpus (9)
- Dynamical Edge Modes and Entanglement in Maxwell Theory
- Soft edges: the many links between soft and edge modes
- An Infrared On-Shell Action and its Implications for Soft Charge Fluctuations in Asymptotically Flat Spacetimes
- Diamond of Infrared Equivalences in Abelian Gauge Theories
- Dynamical Edge Modes in Yang-Mills Theory
- Celestial Quantum Error Correction II: From Qudits to Celestial CFT
- Thermodynamic stability from Lorentzian path integrals and codimension-two singularities
- From Asymptotically Flat Gravity to Finite Causal Diamonds
- Effective density matrix for vacua in asymptotically flat gravity