2+1维SU(2)格点规范场胶球波函数的高阶RPA计算  

Higher Order RPA Calculation of the Glueball Wave Function in 2+1-D SU(2) LGT

作　　者：惠萍[1] 

机构地区：[1]广东教育学院物理系,广州510303

出　　处：《高能物理与核物理》2005年第4期345-349,共5页High Energy Physics and Nuclear Physics

基　　金：广东省自然科学基金资助(33446);广东教育学院教授;博士科研专项经费资助~~

摘　　要：采用无规相近似(RPA)耦合集团展开方法求解薛定谔本征值方程,计算高阶胶球波函数.在计算中,用空心Wilson圈图作为试探波函数,对特殊Wilson圈图作近似处理,计算出的2+1维SU(2)格点规范场的六阶和七阶胶球波函数的μ0F和μ2F及相关参数ζ在弱耦合区(β=48—96)出现较好的标度行为,七阶真空能量在整个区域(β=08—80)与六阶真空能量一致.By Solving Shrodinger equation with the RPA coupled cluster method, The higher order glueball wave function in 2 + 1-D SU(2) lattice gauge theory is calculated. In the calculation, hollow Wilson graphs are selected as the trial wave function, and special Wilson graphs are treated approximately. The sixth and the seventh order results for the coefficients μ0F and μ2F and the relevant parameter ζ of the glueball wave function show good scaling behaviors at weak coupling region (β = 4.8-9.6). The seventh order vacuum energy curve is in agreement with the sixth order ones for in the coupling region of β = 0.8-8.0.

关 键 词：胶球波函数 格点规范场 SU(2) 2+1维 计算 高阶 RPA Wilson 真空能量 本征值方程 试探波函数 展开方法 近似处理 标度行为 薛定谔 弱耦合 圈图 求解 无规 

分 类 号：O413.1[理学—理论物理]