2+1维SU(2)格点规范场胶球质量的无规相近似计算  

Approximated Calculation of the Glueball Mass in the 2+1-D SU(2) LGT with the RPA Method

作　　者：惠萍[1] 郑泰玉[2] 王宙飞[2] 

机构地区：[1]广东教育学院物理系,广州510303 [2]东北师范大学理论物理研究所,长春130024

出　　处：《高能物理与核物理》2004年第6期580-583,共4页High Energy Physics and Nuclear Physics

基　　金：广东省自然科学基金 ( 3 3 446);广东教育学院教授博士专项经费项目;国家自然科学基金 ( 10 3 4710 4)资助~~

摘　　要：采用无规相近似 (RPA)耦合集团展开方法 ,用空心图作为试探波函数 ,利用Feymann Hellman定理和截断薛定谔方程本征值方程的方法得到的封闭方程组 ,计算出三到六阶 2 +1维SU(2 )格点规范场的胶球质量 .结果显示 :当计算进行到六阶时 ,胶球质量已出现标度窗口和收敛趋势 。The coupled cluster method is improved with the random phase approximation (RPA) to calculate the glueball mass in the 2+1-D SU(2) lattice gauge theory. In this calculating, the trial wave function consists of single-hollow graphs, the Feymann-Hellman theorem is used to obtain a set of closed equations. When the calculation proceeds up to the sixth order, the calculated results of glueball mass show scaling window and a sign of converges at weak coupling region 1/g 2>1 0. The results of this paper indicate that the seventh order glueball mass will show good scaling behavior and the converges.

关 键 词：格点规范理论 胶球质量 无规相近似 薛定谔方程 本征值 空心图 高能物理学 

分 类 号：O572.3[理学—粒子物理与原子核物理]