The non-perturbative phase diagram of the BMN matrix model
The non-perturbative phase diagram of the BMN matrix model
复制标题
BMN矩阵模型的非微扰相图
DOI：
10.1007/jhep07(2018)152
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发表时间：
2018
影响因子：
5.4
通讯作者：
D. O’Connor
中科院分区：
文献类型：
--
作者：
Yuhma Asano;V. Filev;S. Kováčik;D. O’Connor
研究了有限温度T下的最大超对称平面波矩阵模型（BMN模型），确定了高温相界在（μ，T）平面内的位置，其中μ为质量参数.我们发现第一个转变，作为系统从高温冷却，是从一个近似SO（9）对称相的三个矩阵扩展到形成模糊球。当μ > 3.0时，在较低的温度下有第二个明显的转变。这两个跃迁在较小的μ处彼此接近，并在μ = 3.0附近合并。当μ进一步减小时，所得到的单一过渡曲线然后接近轨距/重力预测。我们发现，对于所有μ，跃迁的粗略估计由大μ的三圈微扰预言的Padé重算给出。我们发现的证据表明，在小μ的过渡是一个M5膜相的理论。
We study the maximally supersymmetric plane wave matrix model (the BMN model) at finite temperature, T, and locate the high temperature phase boundary in the (μ, T) plane, where μ is the mass parameter. We find the first transition, as the system is cooled from high temperatures, is from an approximately SO(9) symmetric phase to one where three matrices expand to form fuzzy spheres. For μ > 3.0 there is a second distinct transition at a lower temperature. The two transitions approach one another at smaller μ and merge in the vicinity of μ = 3.0. The resulting single transition curve then approaches the gauge/gravity prediction as μ is further decreased. We find a rough estimate of the transition, for all μ, is given by a Padé resummation of the large-μ, three-loop perturbative predictions. We find evidence that the transition at small μ is to an M5-brane phase of the theory.
影响因子：
5
作者：
Catterall S
通讯作者：
Catterall S
计量和非计量：非微扰测试
影响因子：
5.4
作者：
Berkowitz E
通讯作者：
Berkowitz E