标题： 状态方程和矩阵模型的粗粒化自由能 显示英文标题

标题： Equation of state and coarse grained free energy for matrix models

摘要： 我们研究三维标量矩阵模型中的相变，特别关注复数$2 \times 2$矩阵。 弱一阶相变的普遍状态方程被计算出来。 我们还研究了粗粒化自由能。 其对粗粒化尺度的依赖关系给出了标准气泡成核处理有效性的定量准则。 显示英文摘要

摘要： We investigate phase transitions in three dimensional scalar matrix models, with special emphasis on complex $2 \times 2$ matrices. The universal equation of state for weak first order phase transitions is computed. We also study the coarse grained free energy. Its dependence on the coarse graining scale gives a quantitative criterion for the validity of the standard treatment of bubble nucleation.