Fedida, Samuel;
Mazumdar, Anupam;
Bose, Sougato;
Serafini, Alessio;
(2024)
Entanglement entropy in scalar quantum electrodynamics.
Physical Review D
, 109
(6)
, Article 065028. 10.1103/PhysRevD.109.065028.
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Abstract
We find the entanglement entropy of a subregion of the vacuum state in scalar quantum electrodynamics, working perturbatively to the two-loop 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 renormalization 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.
| Type: | Article |
|---|---|
| Title: | Entanglement entropy in scalar quantum electrodynamics |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevD.109.065028 |
| Publisher version: | http://dx.doi.org/10.1103/physrevd.109.065028 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. |
| Keywords: | Science & Technology, Physical Sciences, Astronomy & Astrophysics, Physics, Particles & Fields, Physics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10191646 |
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