Anti-de Sitter时空中的标量粒子及标量场  

Scalar particle and field in Anti-de Sitter spacetime

作　　者：杨斌[1,2] 马燕[1] 李鹤龄[1] 

机构地区：[1]宁夏大学物理电气信息学院,宁夏银川750021 [2]北京师范大学物理系,北京100875

出　　处：《安徽大学学报（自然科学版）》2013年第6期42-47,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(61167002);宁夏自然科学基金资助项目(NZ1023)

摘　　要：首先给出AdS时空的度规,并构造出AdS时空背景下标量粒子和标量场的作用量.由最小作用量原理得到相应的欧拉方程并采用数值法求解方程,结果表明:自由点粒子在AdS时空背景下的运动轨迹为螺线管状,说明弯曲时空AdS对点粒子具有等效的向心力作用.采用渐近边界条件求解标量场方程,结果显示标量场的径向分布与其质量和空间维度有密切关系.Firstly the metric of AdS space-time was formulated, and then the actions of the scalar point particle and scalar field were set up. Using the principle of least action, the Euler equations of them and the numerical solutions were obtained separately. The result of scalar particle showed that its world line was like solenoid which was totally different from the result in smooth space, which also demonstrated that the curved space had an equivalent role of centripetal force. The asymptotic boundary condition was used for solving of scalar field equation. The relationship between the scalar field and its mass or the dimensions of space time were analyzed also.

关 键 词：ANTI-DE SITTER时空 标量场 度规 世界线 

分 类 号：O412.1[理学—理论物理] O412.3[理学—物理]