https://scholars.lib.ntu.edu.tw/handle/123456789/626745
Title: | Entanglement Entropy and Quantum Phase Transition in the $O(N)$ $σ$-model | Authors: | JIUNN-WEI CHEN Shou-Huang Dai Jin-Yi Pang |
Keywords: | Global Symmetries; Sigma Models; High Energy Physics - Theory; High Energy Physics - Theory | Issue Date: | 12-Nov-2014 | Publisher: | SPRINGER | Journal Volume: | 2021 | Journal Issue: | 7 | Source: | J. High Energ. Phys. 2021, 201 (2021) | Abstract: | We investigate how entanglement entropy behaves in a non-conformal scalar field system with a quantum phase transition, by the replica method. We study the $\sigma$-model in 3+1 dimensions which is $O(N)$ symmetric as the mass squared parameter $\mu^{2}$ is positive, and undergoes spontaneous symmetry breaking while $\mu^{2}$ becomes negative. The area law leading divergence of the entanglement entropy is preserved in both of the symmetric and the broken phases. The spontaneous symmetry breaking changes the subleading divergence from log to log squared, due to the cubic interaction on the cone. At the leading order of the coupling constant expansion, the entanglement entropy reaches a cusped maximum at the quantum phase transition point $\mu^{2}=0$, and decreases while $\mu^{2}$ is tuned away from 0 into either phase. |
Description: | 36 pp., 5 figures |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/626745 | ISSN: | 1029-8479 | DOI: | 10.1007/JHEP07(2021)201 |
Appears in Collections: | 物理學系 |
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