Seiberg-Witten/Whitham Equations and Instanton Corrections in N = 2 Supersymmetric Yang-Mills Theory  

Seiberg-Witten/Whitham Equations and Instanton Corrections in Ν = 2 Supersymmetric Yang-Mills Theory

作　　者：Jia-Liang Dai En-Gui Fan 戴佳亮;范恩贵(School of Mathematical Science,Fudan University)

机构地区：School of Mathematical Science, Fudan University, Shanghai 200433, China

出　　处：《Communications in Theoretical Physics》2018年第5期558-568,共11页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.11271079

摘　　要：We obtain the instanton correction recursion relations for the low energy effective prepotential in pure Ν = 2SU(n) supersymmetric Yang-Mills gauge theory from Whitham hierarchy and Seiberg-Witten/Whitham equations. These formulae provide us a powerful tool to calculate arbitrary order instanton corrections coefficients from the perturbative contributions of the effective prepotential in Seiberg-Witten gauge theory. We apply this idea to evaluate one-and two-order instanton corrections coefficients explicitly in SU(n) case in detail through the dynamical scale parameter expressed in terms of Riemann's theta-function.

关 键 词：Whitham hierarchy Seiberg-Witten/Whitham equations instanton corrections recursion relations 

分 类 号：O175[理学—数学]