论文标题
磁化$ {\ cal n} = 4 $ super yang-mills等离子体
Magnetising the ${\cal N}=4$ Super Yang-Mills plasma
论文作者
论文摘要
我们研究了D'Hoker和Kraus Arxiv发现的各向异性磁性$ \ rm ADS_5 $ BLACK BRANE解决方案的热力学：0908.3875。该解决方案是强耦合的$ {\ cal n} = 4 $ super yang-mills等离子体的重力双重双重二元，$ {\ mathbb r}^{3,1} $，带有温度$ t $，在磁场$ {\ cal b} $的情况下。遵循全息肾上腺素化的程序，我们计算了吉布斯自由能和整形等离子体的全息应力张量。我们评估了几个热力学量，包括磁化，各向异性压力和声音速度。我们的结果与来自drasked $ \ rm ADS_5 $ Black Brane的RG流相一致。我们还进行了现象学分析，在其中比较了磁性的保形等血浆的热力学与磁化夸克 - 格洛隆血浆热力学的晶格QCD结果。
We investigate the thermodynamics of the anisotropic magnetic $\rm AdS_5$ black brane solution found by D'Hoker and Kraus arXiv:0908.3875. This solution is the gravity dual of a strongly coupled ${\cal N}=4$ Super Yang-Mills plasma in ${\mathbb R}^{3,1}$, with temperature $T$, in the presence of a magnetic field ${\cal B}$. Following the procedure of holographic renormalisation we calculate the Gibbs free energy and the holographic stress tensor of the conformal plasma. We evaluate several thermodynamic quantities including the magnetisation, the anisotropic pressures and the speeds of sound. Our results are consistent with an RG flow from a perturbed $\rm AdS_5$ black brane at small ${\cal B}/T^2$ to a $\rm \bf BTZ \times {\mathbb R}^2$ black brane at large ${\cal B}/T^2$. We also perform a phenomenological analysis where we compare the thermodynamics of a magnetised conformal plasma against the lattice QCD results for the thermodynamics of the magnetised quark-gluon plasma.
