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

作     者：Jia-Liang Dai En-Gui Fan 戴佳亮;范恩贵

作者机构：School of Mathematical Science Fudan University Shanghai 200433 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2018年第69卷第5期

页      面：558-568页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

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

主　　题：Whitham hierarchy Seiberg-Witten/Whitham equations instanton corrections recursion relations 

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.