Information retrieval from Euclidean path integral

TL;DR

This paper reviews the information loss paradox in black hole physics using the Euclidean path integral approach, emphasizing the role of non-perturbative contributions in preserving information and discussing their implications for information retrieval.

Contribution

It highlights the importance of non-perturbative effects in the Euclidean path integral framework for resolving the information loss paradox.

Findings

Non-perturbative contributions are crucial for information preservation.

Late-time dominance of these contributions explains information retrieval.

Evidence suggests this scenario is applicable in general circumstances.

Abstract

In this article, we review the information loss paradox in the spirit of the Euclidean path integral approach. First, we argue that there is a long debate about the information loss paradox, and the non-perturbative quantum gravitational wave function must include the clue to the paradox. The Euclidean path integral approach provides the best way to describe the wave function. From this wave function, we can notice that there are not only semi-classical but also non-perturbative contributions, which are highly suppressed but preserved information. Information retrieval will be sufficiently explained if such non-perturbative contributions must be dominated by the late time. We will show that there is sufficient evidence that this scenario can be realized in generic circumstances. Finally, we compare this scenario with alternative approaches. Also, we comment on some unresolved issues that need to be clarified.