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arXiv 0806.2212hep-th
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变态涡顿

Kinky Vortons

Richard Battye, Paul Sutcliffe

摘要:

宇宙涡旋子是超导宇宙弦的闭合回路,携带电流和电荷。尽管有大量的研究,宇宙vorton解的存在性和稳定性仍然是一个悬而未决的问题。非线性场论的数值模拟在(3+1)维中很难进行,因为存在多个长度和时间尺度。在本文中,我们研究了一个(2+1)维的类似宇宙涡,我们称之为扭结涡,其中宇宙弦被替换为扭结弦。宇宙涡旋子的许多预期的定性方面转移到弯曲的涡旋子,其优点是在宇宙涡旋子研究中使用的几个近似值可以被精确的结果所取代。此外,数值研究扭结涡旋子需要的计算资源比宇宙涡旋子少,因此可以在一定程度上解决一些问题。确定了弯曲涡子的半径与电荷和缠绕数的函数关系,并证明了手征极限是一个排斥不动点。稳定的轴向和非轴向扰动证明在电和手征制度,虽然令人惊讶的长寿命振铃模式观察。弯曲的涡是太磁性的,从一个捏不稳定性,这将导致在减少绕组数量,并可以将磁转换成电的解决方案遭受。

英文摘要:

Cosmic vortons are closed loops of superconducting cosmic strings carrying current and charge. Despite a large number of studies the existence and stability of cosmic vorton solutions is still an open problem. Numerical simulations of the nonlinear field theory are difficult to perform in (3+1)-dimensions, due to the existence of multiple length and time scales. In this paper we study a (2+1)-dimensional analogue of cosmic vortons, which we refer to as kinky vortons, where the cosmic string is replaced by a kink string. Many of the expected qualitative aspects of cosmic vortons transfer to kinky vortons, with the advantage that several approximations used in the study of cosmic vortons can be replaced by exact results. Furthermore, the numerical study of kinky vortons requires less computational resources than cosmic vortons, so a number of issues can be addressed in some depth. The radius of the kinky vorton is determined as a function of the charge and winding number, and it is shown that the chiral limit is a repulsive fixed point. Stability to both axial and non-axial perturbations is demonstrated in the electric and chiral regimes, though surprisingly long lived ringing modes are observed. Kinky vortons which are too magnetic are shown to suffer from a pinching instability, which results in a reduction in the winding number and can convert magnetic into electric solutions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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