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Parity Symmetry Breaking and Kink Hairy Black Hole
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2022-07-22 , DOI: arxiv-2207.10995 Zhi-Hong Li, Hai-Qing Zhang
arXiv - PHYS - High Energy Physics - Theory Pub Date : 2022-07-22 , DOI: arxiv-2207.10995 Zhi-Hong Li, Hai-Qing Zhang
Motivated by the Kibble-Zurek mechanism and the Gubser's argument for the
charged scalar hairs near the black hole horizon in a spacetime with negative
cosmological constant, we realize the kink hairs in a planar Schwarzschild-AdS
black hole. By increasing the chemical potential across the critical point of
the dual boundary field theory, the former $Z_2$ symmetry of the real scalar
fields spontaneously break and form kinks in the bulk. Correspondingly, in the
AdS boundary it resembles the kinks in a one-dimensional chain. The relation
between the kink numbers and the quench rate obeys a universal scaling law
which satisfies the Kibble-Zurek's prediction.
中文翻译:
奇偶对称性破坏和扭结毛状黑洞
受 Kibble-Zurek 机制和 Gubser 关于负宇宙常数时空中黑洞视界附近带电标量毛的论证的启发,我们实现了平面 Schwarzschild-AdS 黑洞中的扭结毛。通过增加跨双边界场理论临界点的化学势,实标量场的前 $Z_2$ 对称性自发地破坏并在本体中形成扭结。相应地,在 AdS 边界中,它类似于一维链中的扭结。扭结数和淬灭率之间的关系遵循满足 Kibble-Zurek 预测的通用比例定律。
更新日期:2022-07-25
中文翻译:
奇偶对称性破坏和扭结毛状黑洞
受 Kibble-Zurek 机制和 Gubser 关于负宇宙常数时空中黑洞视界附近带电标量毛的论证的启发,我们实现了平面 Schwarzschild-AdS 黑洞中的扭结毛。通过增加跨双边界场理论临界点的化学势,实标量场的前 $Z_2$ 对称性自发地破坏并在本体中形成扭结。相应地,在 AdS 边界中,它类似于一维链中的扭结。扭结数和淬灭率之间的关系遵循满足 Kibble-Zurek 预测的通用比例定律。