We discuss the Montonen-Olive electric-magnetic duality for the BPS massless monopole clouds in N = 4 supersymmetric Yang-Mills theory with non-Abelian unbroken gauge symmetries. We argue that these low energy non-Abelian clouds can be identified as the duals of the infrared bremsstrahlung radiation of the non-Abelian massless particles. After we break the N = 4 supersymmetry to N = 1 by adding a superpotential, or to N = 0 by further adding soft breaking terms, these non-Abelian clouds will generally condense and screen the non-Abelian charges of the massive monopole probes. The effective mass of these dual non-Abelian states is likely to persist as we lower the energy to the QCD scale, if all the non-Abelian Higgs particles are massive. This can be regarded as a manifestation of the non-Abelian dual Meissner effect above the QCD scale, and we expect it to continuously connect with the confinement as we lower the supersymmetry breaking scale to the QCD scale. (C) 2004 Elsevier B.V. All rights reserved.
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机译：我们讨论了具有非阿贝尔不间断规范对称性的N = 4超对称Yang-Mills理论中BPS无质量单极子云的Montonen-Olive电磁对偶性。我们认为，这些低能非阿贝尔云可以被识别为非阿贝尔无质量粒子的红外轫致辐射的对偶。在我们通过添加超势将 N = 4 超对称性分解为 N = 1 或通过进一步添加软断裂项将 N = 0 中断后，这些非阿贝尔云通常会凝结并屏蔽大质量单极探测器的非阿贝尔电荷。当我们将能量降低到QCD尺度时，如果所有非阿贝尔希格斯粒子都是质量的，那么这些双重非阿贝尔态的有效质量可能会持续存在。这可以看作是QCD尺度以上的非阿贝尔对偶迈斯纳效应的一种表现，我们预计当我们将超对称性破坏尺度降低到QCD尺度时，它将不断与约束联系起来。（c） 2004 Elsevier B.V.保留所有权利。
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