分别采用相连重叠图、相连空心图方法展开波函数,研究2+1维SU(3)格点规范场真空波函数的收敛性.采用无规相近似方法,引入小Wilson圈图的平均值,应用Feynman定理获得封闭方程组。计算结果表明:用相连空心图方法所得到2+1维SU(3)格点规范场的真空波函数μ0和μ2的标度行为和收敛性更好。
The methods of connected overlapped Wilson graphs and connected hollow Wilson graphs are adopted respectively to investigate convergent behaviors of vacuum wave function in 2 + 1 - D SU (3) lattice gauge theory. The average of small Wilson graphs is introduce in the random phase approximation (RPA) method , and Feymann theorem is utilized to obtain closed equation group. The results show that the method of connected hollow Wilson graphs is the better one to obtain good scaling behavior and good convergent behavior of vacuum wave function μ0 and μ2 in 2 + 1 - D SU (3) lattice gauge theory.