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arXiv 1808.04895hep-th
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作为膜世界的自引力$SU(5)$希格斯畴壁

Selfgravitating $SU(5)$ Higgs domain walls as a braneworlds

Nelson Pantoja

摘要:

在规范的$SU(5)$中的五维畴壁沿附加维度产生位置依赖的对称性破缺图案。我们分析了微扰稳定性和自引力的情况下,这些墙壁的4D频谱,在规范不变场涨落的双同态和李代数。我们表明,快子模式是不存在的,确保微扰稳定性。正如预期的那样,引力张量和矢量涨落的行为与标准$Z_2$畴壁中的对应物相似。所有的李代数值的波动表现出塔的4D大量的模式,在体中传播,从零开始的连续谱。所有可能的四维南武-戈德斯通场,在整体对称的情况下被引力捕获,都是不平凡的。然而,我们没有发现可定域的4D规范玻色子,无论是无质量还是有质量。相反,准局域化的离散4D质量模式的规范场波动被发现,沿自发破缺的方向。

英文摘要:

Five-dimensional domain walls in gauged $SU(5)$ generate a position-dependent symmetry breaking pattern along the additional dimension. We analize the perturbative stability and the 4D spectrum of these walls in the self-gravitating case, in terms of diffeomorphism- and Lie algebra gauge-invariant field fluctuations. We show that tachyonic modes are absent, ensuring perturbative stability. As expected, gravitational tensor and vector fluctuations behave like its counterparts in the standard $Z_2$ domain walls. All the Lie algebra valued fluctuations exhibit towers of 4D massive modes which propagate in the bulk, with a continuous spectrum starting from zero. All the would-be 4D Nambu-Goldstone fields, which are gravitationally trapped in the case of a global symmetry, are non-trivially absent. However we find no localizable 4D gauge bosons, either massless or massive. Instead, quasi-localizable discrete 4D massive modes for the gauge field fluctuations are found, along the spontaneously broken directions.

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