Abstract
AbstractThe renormalization of entanglement entropy of quantum field theories is investigated in the simplest setting with a λϕ4 scalar field theory. The 3+1 dimensional spacetime is separated into two regions by an infinitely flat 2-dimensional interface. The entanglement entropy of the system across the interface has an elegant geometrical interpretation using the replica trick, which requires putting the field theory on a curved spacetime background. We demonstrate that the theory, and hence the entanglement entropy, is renormalizable at order λ once all the relevant operators up to dimension 4 are included in the action. This exercise has a one-to-one correspondence to entanglement entropy interpretation of the black hole entropy which suggests that our treatment is sensible. Our study suggests that entanglement entropy is renormalizable and is a physical quantity.
Funder
Ministry of Science and Technology, Taiwan
Publisher
Springer Science and Business Media LLC
Reference25 articles.
1. G. Hooft, On the quantum structure of a black hole. Nucl. Phys.B256:, 727–745 (1985). https://doi.org/10.1016/0550-3213(85)90418-3.
2. L. Bombelli, R. K. Koul, J. Lee, R. D. Sorkin, A quantum source of entropy for black holes. Phys. Rev.D34:, 373–383 (1986). https://doi.org/10.1103/PhysRevD.34.373.
3. M. Srednicki, Entropy and area. Phys. Rev. Lett.71:, 666–669 (1993). https://doi.org/10.1103/PhysRevLett.71.666.
4. V. P. Frolov, I. Novikov, Dynamical origin of the entropy of a black hole. Phys. Rev.D48:, 4545–4551 (1993). https://doi.org/10.1103/PhysRevD.48.4545.
5. S. Das, S. Shankaranarayanan, S. Sur, Black hole entropy from entanglement: a review, Horizons in World Physics, vol. 268. (M. Everett, L. Pedroza, eds.), (2009). https://novapublishers.com/shop/classical-and-quantum-gravity-theory-analysis-andapplications/.
Cited by
12 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献