Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-17
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LaTeX, 1 figure, v2: minor clarifications added, v3: added free energy calculation, version to appear in Phys. Lett.
Scientific paper
We show that for black D$p$-branes having charge $Q$ and Hawking temperature $T$, the product $QT^{7-p}$ is bounded from above for $p\leq 5$ and is unbounded for $p=6$. While the maximum occurs at some finite value of a parameter for $p \leq 4$, it occurs at infinity of the parameter for $p=5$. As a consequence, for fixed charge, there are two black D$p$-branes (for $p\leq 4$) at any given temperature less than its maximum value, and when the temperature is maximum there is one black D$p$-brane. For $p=5$, there is only one black D5-brane at a given temperature less than its maximum value, whereas, for $p=6$, since there is no bound for the temperature, there is always a black D6-brane solution at a given temperature. Of the two black D$p$-branes (for $p\leq 4$), one is large which is shown to be thermodynamically unstable and the other is small which is stable. But for $p=5,6$, the black D$p$-branes are always thermodynamically unstable. The stable, small black D$p$-brane, however, under certain conditions, can become unstable quantum mechanically and decay either to a BPS D$p$-brane or to a Kaluza-Klein "bubble of nothing" through closed string tachyon condensation. The small D5, D6 branes, although classically unstable, have the same fate under similar conditions.
Lu Jian-Xin
Roy Shibaji
No associations
LandOfFree
Remarks on the instability of black Dp-branes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Remarks on the instability of black Dp-branes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remarks on the instability of black Dp-branes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-650940