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We discuss the current status of black holes within quantum gravity approaches based on quantum field theory, and particularly asymptotic safety. We highlight key open questions in the field, including the difficulty of deriving global solutions from the effective action, the role of matter in constraining the set of all possible alternatives to classical black holes, the importance of the formation probability, and its implications for both conceptual and practical aspects. These challenges highlight some necessary developments in the field and single out a few future directions, which could be promising to progress our understanding of black holes in quantum gravity.

我们讨论了基于量子场论的量子引力方法中黑洞的现状，特别是渐近安全性。我们强调了该领域的关键开放问题，包括从有效行动中得出全局解决方案的难度、物质在限制经典黑洞的所有可能替代方案中的作用、形成概率的重要性及其对概念和实践方面的影响。这些挑战突出了该领域的一些必要发展，并挑出了一些未来的方向，这些方向可能有望推进我们对量子引力黑洞的理解。