Finite temperature is introduced in the Ads Space by inserting a black hole. In the Ads-CFT correspondence, the Wilson loop is at u→∞. But the black hole horizon itself would be at u→u0, i.e. a finite u, implying that the black hole mass is finite.
For reference, let me specify the metric in 10D space as u2a2(−Hdt2+dx2||)+a2u2(du2H+dΩ2), with H = 1−u4/a4. This shows that the black hole horizon is at u = a. And the dimension u is interpreted as energy dimension.
Does this mean that the gauge particles described by the Wilson loop is heavier than the black hole, since the Wilson loop is at u=∞?
Is it a mathematical jugglery to introduce finite temperature without worrying about the physical possibility?
This post imported from StackExchange Physics at 2018-06-19 08:51 (UTC), posted by SE-user Angela