标题： BMN矩阵模型在晶格上的有限温度相图 显示英文标题

标题： Finite-temperature phase diagram of the BMN matrix model on the lattice

摘要： 我们利用非微扰格点蒙特卡洛计算研究了Berenstein–Maldacena–Nastase (BMN) 矩阵模型的热相结构。我们的主要分析涵盖了耦合常数的三个数量级，涉及多达$N_{\tau} = 24$晶格点和具有$8 \leq N \leq 16$阶SU($N$)规范群的系统。此外，我们还对$N_{\tau} \leq 128$和规范群SU(4)的离散化效应进行了扩展检查。我们发现脱禁温度的结果介于弱耦合下的微扰预测与强耦合下的大-$N$双重超引力计算之间。虽然我们确认强耦合时相变是一阶的，但较弱耦合时似乎表现为连续相变。 显示英文摘要

摘要： We investigate the thermal phase structure of the Berenstein--Maldacena--Nastase (BMN) matrix model using non-perturbative lattice Monte Carlo calculations. Our main analyses span three orders of magnitude in the coupling, involving systems with sizes up to $N_{\tau} = 24$ lattice sites and SU($N$) gauge groups with $8 \leq N \leq 16$. In addition, we carry out extended checks of discretization artifacts for $N_{\tau} \leq 128$ and gauge group SU(4). We find results for the deconfinement temperature that interpolate between the perturbative prediction at weak coupling and the large-$N$ dual supergravity calculation at strong coupling. While we confirm that the phase transition is first order for strong coupling, it appears to be continuous for weaker couplings.