This article has multiple issues. Please help improve it or discuss these issues on the talk page. ( Learn how and when to remove these template messages) This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. Find sources:  "Hawking–Page phase transition" –  news · newspapers · books · scholar · JSTOR (March 2018) ( Learn how and when to remove this message) This article may be too technical for most readers to understand. Please help improve it to make it understandable to non-experts, without removing the technical details. (March 2018) ( Learn how and when to remove this message) ( Learn how and when to remove this message)

In quantum gravity, the Hawking–Page phase transition is phase transition between AdS black holes with radiation and thermal AdS.

Stephen Hawking and Don Page ( Hawking & Page (1983)) showed that although AdS black holes can be in stable thermal equilibrium with radiation, they are not the preferred state below a certain critical temperature ${\displaystyle T_{C}}$. At this temperature, there will be a first order phase transition where below ${\displaystyle T_{C}}$, thermal AdS will become the dominant contribution to the partition function.

The Hawking-Page phase transition between the unstable small black hole to stable large black hole phase is understood as a confinement-deconfinement phase transition in the dual conformal field theory via AdS/CFT correspondence. ^[1]

References

• Hawking, Stephen; Page, Don (1983), "Thermodynamics of black holes in anti-de Sitter space", Communications in Mathematical Physics, 87 (4): 577–588, Bibcode: 1982CMaPh..87..577H, doi: 10.1007/BF01208266, S2CID  53516597

This quantum mechanics-related article is a stub. You can help Wikipedia by expanding it.

• v
• t
• e

This black hole-related article is a stub. You can help Wikipedia by expanding it.

• v
• t
• e