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arXiv 1003.4601hep-thastro-ph.COgr-qchep-ph
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宇宙弦中的非阿贝尔玻色子流

Nonabelian Bosonic Currents in Cosmic Strings

Marc Lilley, Fabrizio Di Marco, Jerome Martin, Patrick Peter

摘要:

本文讨论了中性Witten载流弦模型的非阿贝尔推广,其中玻色载流子属于SU(2)的二维表示。我们发现载流解可以有三种不同的类型:要么是电流跨越一个U(1)子群,在这种情况下,一个是阿贝尔载流弦,要么是三个电流都是类光的,在同一个方向上行进(只有左或右运动)。第三,真正的非阿贝尔情形,不能在圆柱对称框架内处理,但可以证明依赖于所有可能的弦洛伦兹不变量,这些量可以从相位梯度中构造出来。

英文摘要:

A nonabelian generalization of the neutral Witten current-carrying string model is discussed in which the bosonic current-carrier belongs to a two dimensional representation of SU(2). We find that the current-carrying solutions can be of three different kinds: either the current spans a U(1) subgroup, and in which case one is left with an abelian current-carrying string, or the three currents are all lightlike, travelling in the same direction (only left or right movers). The third, genuinely nonabelian situation, cannot be handled within a cylindrically symmetric framework, but can be shown to depend on all possible string Lorentz invariant quantities that can be constructed out of the phase gradients.

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