Eur. Phys. J. C, 83, 341 (2023)
Replica wormhole as a vacuum-to-vacuum transition
Yang An1 and Peng Cheng2,3,*
1 Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, Hangzhou 310014, China.
2 Center for Joint Quantum Studies and Department of Physics, Tianjin University, Tianjin 300350, China.
3 Institute for Theoretical Physics, University of Amsterdam, 1090 GL Amsterdam, The Netherlands.
* p.cheng.nl@outlook.com
Abstract
The recent developments related to the black hole information paradox have brought us a confusing object: the replica wormhole. We are trying to better understand the object from the viewpoint of the thermo-mixed double and spontaneous symmetry breaking. In this paper, we show that the replica wormhole can be regarded as a transition between different degenerate vacua, and the corresponding gravitational partition function should be controlled by the manifold of the degenerate vacua. We also check the wormhole partition function in two-dimensional Jackiw–Teitelboim gravity and show that the wormhole saddle is indeed controlled by the dimension of the degenerate vacua. Moreover, it is suggested that the replica wormhole geometries connecting different vacua can be related to the measurement process of soft hair that compares different vacuum configurations.
