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Monopole Solutions of the Massive SU(2) Yang-Mills-Higgs Theory

机译:大规模sU(2)Yang-mills-Higgs理论的单极解

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摘要

Monopoles in topologically massive gauge theories in 2+1 dimensions with aChern-Simon mass term have been studied by Pisarski some years ago. Heinvestigated the SU(2) Yang-Mills-Higgs model with an additional Chern-Simonmass term in the action. Pisarski argued that there is a monopole solution thatis regular everywhere, but found that it does not possess finite action. Therewere no exact or numerical solutions being presented by Pisarski. Hence it isour purpose to further investigate this solution in more detail. We obtainednumerical regular solutions that smoothly interpolates between the behavior atsmall and large distances for different values of Chern-Simon term strength andfor several fixed values of Higgs field strength.
机译:几年前,皮萨尔斯基(Pisarski)研究了具有aChern-Simon质量项的2 + 1维拓扑大规模理论中的单极子。他对SU(2)Yang-Mills-Higgs模型进行了调查,并在行动中附加了Chern-Simonmass术语。皮萨尔斯基认为,有一个单极子解在各处都是规则的,但发现它不具有有限的作用。皮萨尔斯基没有提出精确的或数值的解决方案。因此,我们的目的是进一步详细研究该解决方案。我们获得了数值正则解,可以针对不同的Chern-Simon项强度和希格斯场强的多个固定值在小距离和大距离之间平稳地插值。

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