实现有效的三重暴胀理论:信使场有影响吗?
Realising effective theories of tribrid inflation: Are there effects from messenger fields?
摘要:
三重暴胀是超对称混合暴胀的一种变体,其中暴胀子是一个物质场(在规范对称性下可以带电),暴胀以瀑布场的GUT尺度相变结束。这些特征使得三重暴胀成为实现暴胀的一个很有前途的框架,与粒子物理有着特别密切的联系。三重暴胀的超势涉及到被某个截断尺度所抑制的有效算符,这个截断尺度通常被认为是普朗克尺度。然而,这些算子也可以通过积分出质量低于普朗克尺度的信使超场来产生,这实际上在大统一理论和/或味道模型中很常见。暴胀过程中暴胀子场的值可以高于这个质量标度,这意味着要可靠地计算模型预测,必须超越有效的理论描述。因此,我们讨论实现的有效理论的三重暴胀,并指定在何种情况下的影响,从信使领域的预期,在何种条件下,他们可以安全地被忽略。特别是,我们指出如何构建实现,尽管事实上,暴胀子场的值以上的信使质量尺度,预测的观测值是(一个很好的近似)相同的计算在有效的理论治疗信使质量尺度确定与(表观)截止尺度。
英文摘要:
Tribrid inflation is a variant of supersymmetric hybrid inflation in which the inflaton is a matter field (which can be charged under gauge symmetries) and inflation ends by a GUT-scale phase transition of a waterfall field. These features make tribrid inflation a promising framework for realising inflation with particularly close connections to particle physics. Superpotentials of tribrid inflation involve effective operators suppressed by some cutoff scale, which is often taken as the Planck scale. However, these operators may also be generated by integrating out messenger superfields with masses below the Planck scale, which is in fact quite common in GUT and/or flavour models. The values of the inflaton field during inflation can then lie above this mass scale, which means that for reliably calculating the model predictions one has to go beyond the effective theory description. We therefore discuss realisations of effective theories of tribrid inflation and specify in which cases effects from the messenger fields are expected, and under which conditions they can safely be neglected. In particular, we point out how to construct realisations where, despite the fact that the inflaton field values are above the messenger mass scale, the predictions for the observables are (to a good approximation) identical to the ones calculated in the effective theory treatment where the messenger mass scale is identified with the (apparent) cutoff scale.
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