Seiberg-Witten/Whitham Equations and Instanton Corrections in N=2 Supersymmetric Yang-Mills Theory |
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Authors: | Jia-Liang Dai En-Gui Fan |
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Institution: | School of Mathematical Science, Fudan University, Shanghai 200433, China |
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Abstract: | We obtain the instanton correction recursion relations for the low energy effective prepotential in pure N=2 SU(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. |
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Keywords: | Whitham hierarchy Seiberg-Witten/Whitham equations instanton corrections recursion relations |
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