Lorentzian spinfoam gravity path integral and geometrical area-law entanglement entropy
Han M (2026)
Publication Type: Journal article
Publication year: 2026
Journal
Book Volume: 113
Article Number: 084044
Journal Issue: 8
DOI: 10.1103/KBW3-M49G
Abstract
This paper investigates entanglement entropy in 3 + 1 dimensional Lorentzian covariant loop quantum gravity (LQG). We compute the entanglement entropy for a spatial region from states dynamically generated by a spinfoam path integral that sums over a family of two-complexes. The resulting entropy exhibits a geometric area law, S (Formula presented) βa, where the area a of the entangling surface is determined by the LQG area spectrum and the leading coefficient β > 0 is independent of the underlying two-complexes. By relating the coupling constant of the sum over two-complexes to the Barbero-Immirzi parameter γ, we reproduce the Bekenstein-Hawking formula for the range 0 < γ (Formula presented) 1=2. This work provides a Lorentzian path integral approach to gravitational entropy without the need for contour prescriptions.
Involved external institutions
United States (USA) (US)How to cite
APA:
Han, M. (2026). Lorentzian spinfoam gravity path integral and geometrical area-law entanglement entropy. Physical Review D, 113(8). https://doi.org/10.1103/KBW3-M49G
MLA:
Han, Muxin. "Lorentzian spinfoam gravity path integral and geometrical area-law entanglement entropy." Physical Review D 113.8 (2026).
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