弦σ模型中的Ricci流扰动和Weyl反常系数  

The Ricci Flow Perturbation and the Weyl AnomalyCoefficients in the StringσModel

作　　者：詹路 颜骏[1] 黄忆 ZHAN Lu;YAN Jun;HUANG Yi(College of Physics and Electronic Engineering,Sichuan Normal University,Chengdu 610101,Sichuan)

机构地区：[1]四川师范大学物理与电子工程学院,四川成都610101

出　　处：《四川师范大学学报（自然科学版）》2023年第1期83-90,共8页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅自然科学基金(11ZA100)。

摘　　要：研究d=2维时空中玻色弦σ模型,采用2种Ricci流扰动方程推导Weyl反常系数.第1种方程是引力子场Gμν\,Dilaton场Φ的双圈流方程;第2种方程是引力子场G_(μν),轴子场B_(μν)和Dilaton场Φ的单圈流方程,通过这些Ricci流方程导出引力场的扰动方程.另外,还导出Weyl反常系数β_(μν)^(G),β_(μν)^(B),β^(Φ)的表达式,分析和讨论这些β函数随动量标度λ变化的物理意义.The Bose string σ model in two-dimensional space-time is studied in this paper, where the Weyl anomaly coefficients are derived by using two kinds of Ricci flow perturbation equations. The first kind of equations are the two-loop flow equation of the graviton field G μν and the Dilaton field Φ , and the second kind of equations are the one-loop flow equation of the graviton field G μν , the axion field B μν and the Dilaton field Φ , where the perturbation equations of the gravitational field are obtained by means of these Ricci flow equations. Moreover, the expressions of the Weyl anomaly coefficients β G μν , β B μν , β Φ are also deduced, where the physical meaning of these β functions varying with the momentum scale λ are analyzed and discussed.

关 键 词：弦σ模型 Ricci流扰动 Β函数 Weyl反常系数 

分 类 号：O412.1[理学—理论物理] O412.2[理学—物理] O411.1