热标量场等离子体激元阻尼率的临界行为  

Critical Behavior of Plasmon Damping Rate in Thermal Scalar Field

作　　者：张汉中[1] 王恩科[1] 

机构地区：[1]华中师范大学粒子物理研究所,武汉430079

出　　处：《高能物理与核物理》2002年第5期522-529,共8页High Energy Physics and Nuclear Physics

基　　金：国家自然科学基金 ( 1 992 85 1 1 ;1 0 1 35 0 30 )~~

摘　　要：在闭合时间路径的实时温度场论的框架下 ,导出了热重整化群方程 .热重整化群方程的数值解表明热标量场的耦合常数随温度跑动 .将热重整化群方程应用到对称性自发破缺的4理论 ,我们考察了具有有限动量的等离子体激元阻尼率在自发破缺对称性恢复的相变温度下的临界行为 .当温度趋于临界温度时 ,结果表明耦合常数随温度的跑动导致有限动量的等离子体激元阻尼率逐渐减小到零 ,与不考虑耦合常数随温度的跑动得到的趋势相反 .解决了把耦合常数看成常量导致的与临界趋缓规律的矛盾 .Thermal Renormalization Group equations are derived in the framework of Closed Time Path formalism in real time temperature field theory. The numerical solutions of the Thermal Renormalization Group equations show that the coupling constant runs with temperature. Applying Thermal Renormalization Group equations to  4 theory with spontaneously breaking symmetry, we investigate the critical behavior of the damping rate of the plasmon with finite momentum at the phase transition temperature of restoring symmetry. As the critical point is approached, it turns out that for the plasmon with finite momentum the damping rate decrease to zero. The tendence is opposite to that obtained by taking the no runing coupling constant. The result is consistent with critical slowing down law.

关 键 词：等离子体激元 阻尼率 临界温度 热重整化群方程 QGP 夸克胶子等离子体 物质形态 热标量场 

分 类 号：O572.21[理学—粒子物理与原子核物理] O572.3[理学—物理]