# Is Wilson loop particle heavier than black hole in AdS-CFT at finite temp?

+ 3 like - 0 dislike
46 views

Finite temperature is introduced in the Ads Space by inserting a black hole. In the Ads-CFT correspondence, the Wilson loop is at $u \rightarrow \infty$. But the black hole horizon itself would be at $u \rightarrow u_0$, i.e. a finite u, implying that the black hole mass is finite.

For reference, let me specify the metric in 10D space as $\frac{u^2}{a^2} (-H dt^2 + dx_{||}^2) + \frac{a^2}{u^2}(\frac{du^2}{H} + d\Omega^2)$, with H = $1 - u^4/a^4$. 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 $u = \infty$?

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

 Please use answers only to (at least partly) answer questions. To comment, discuss, or ask for clarification, leave a comment instead. To mask links under text, please type your text, highlight it, and click the "link" button. You can then enter your link URL. Please consult the FAQ for as to how to format your post. This is the answer box; if you want to write a comment instead, please use the 'add comment' button. Live preview (may slow down editor)   Preview Your name to display (optional): Email me at this address if my answer is selected or commented on: Privacy: Your email address will only be used for sending these notifications. Anti-spam verification: If you are a human please identify the position of the character covered by the symbol $\varnothing$ in the following word:p$\hbar$ysicsO$\varnothing$erflowThen drag the red bullet below over the corresponding character of our banner. When you drop it there, the bullet changes to green (on slow internet connections after a few seconds). To avoid this verification in future, please log in or register.