On the non-perturbative bulk Hilbert space of JT gravity
arxiv(2024)
摘要
What is the bulk Hilbert space of quantum gravity? In this paper, we resolve
this problem in 2d JT gravity, both with and without matter, providing the
first example of an explicit definition of a non-perturbative Hilbert space
specified in terms of metric variables. The states are wavefunctions of the
length and matter state, but with a non-trivial and highly degenerate inner
product. We explicitly identify the null states, and discuss their importance
for defining operators non-perturbatively. To highlight the power of the
formalism we developed, we study the non-perturbative effects for two bulk
linear operators that may serve as proxies for the experience of an observer
falling into a two-sided black hole: one captures the length of an
Einstein-Rosen bridge and the other captures the center-of-mass collision
energy between two particles falling from opposite sides. We track the behavior
of these operators up to times of order e^S_BH, at which point the
wavefunction spreads to the complete set of eigenstates of these operators. If
these observables are indeed good proxies for the experience of an infalling
observer, our results indicate an O(1) probability of detecting a firewall at
late times that is self-averaging and universal.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要