Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-07-08
Phys.Rev.D82:106013,2010
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, 4 figures
Scientific paper
10.1103/PhysRevD.82.106013
Several classes of gravitational backgrounds in $3+1$ dimensions have been proposed as holographic duals to Lifshitz-like theories describing critical phenomena in $2+1$ dimensions with critical exponent $z\geq 1$. We numerically explore one such model, characterized by a temperature $T$ and chemical potential $\mu$, and find how to embed these solutions into AdS for a range of values of $z$. We find no phase transition going from the $T\ll\mu$ to the $T\gg \mu$ regimes, and find that the solutions smoothly interpolate between the Lifshitz-like behavior and the relativistic AdS-like behavior. Finally, we exploit some conserved quantities to find a relationship between the energy density $\mc E$, entropy density $s$, and number density $n$, $\mc E=\frac{2}{3} \left(Ts+\mu n\right)$. We show that this result is expected from general scaling arguments, and generalizes to $\mc E= \frac{d}{d+1}\left(Ts+\mu n\right)$ for a theory dual to AdS$_{d+2}$ (Poincar\'e patch) asymptotics with a local $U(1)$ gauge invariance.
Bertoldi Gaetano
Burrington Benjamin A.
Peet Amanda W.
No associations
LandOfFree
Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries 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 Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-643928