旋转扭曲的膜世界
Rotating kinky braneworlds
摘要:
圆柱膜世界在文献中被用作解决余维2膜的一种方便方法。它们被一个具有非平凡缠绕的无质量世界体积场阻止坍缩,但在这里我们讨论另一种阻止坍缩的方法,那就是旋转膜。我们使用一个简单的微观场论模型的畴壁与凝聚的旋转是必要的,而不仅仅是一个很好的额外添加。这是由于分裂不稳定性,由此捕获凝聚物的有效电势不足以在没有电荷的绕组存在下将其保持在缺陷上。我们使用场论中的解析缺陷解(扭结涡旋)来构建一个包含引力动力学的薄壁膜世界模型,并考虑到微观理论所要求的旋转。然后,我们讨论的影响旋转的体积和膜的几何形状,从而为进一步的宇宙学研究提供了一个锚。我们的设置自然会导致世界体积领域生活在略有不同的半径,我们推测这方面的费米子质量等级的后果。
英文摘要:
Cylindrical braneworlds have been used in the literature as a convenient way to resolve co-dimension-two branes. They are prevented from collapsing by a massless worldvolume field with non-trivial winding, but here we discuss another way of preventing collapse, which is to rotate the brane. We use a simple microscopic field theory model of a domain wall with a condensate for which rotation is a necessity, not just a nice added extra. This is due to a splitting instability, whereby the effective potential trapping the condensate is not strong enough to hold it on the defect in the presence of winding without charge. We use analytic defect solutions in the field theory (kinky vortons) to construct a thin-wall braneworld model by including gravitational dynamics, and we allow for the rotation required by the microscopic theory. We then discuss the impact rotation has on the bulk and brane geometry, thereby providing an anchor for further cosmological investigations. Our setup naturally leads to worldvolume fields living at slightly different radii, and we speculate on the consequences of this in regard to the fermion mass-hierarchy.
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