Simple realization of inflaton potential on a Riemann surface
Simple realization of inflaton potential on a Riemann surface
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DOI：
10.1016/j.physletb.2014.09.061
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发表时间：
2014-04
影响因子：
4.4
通讯作者：
K. Harigaya;M. Ibe
中科院分区：
文献类型：
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作者：
K. Harigaya;M. Ibe
宇宙微波背景辐射中的B模与所谓的Lyth束缚相结合的观测结果表明，在暴胀过程中，暴胀子场的trans-Planckian变化。如此大的变化引起了人们对普朗克尺度以下有效场论中暴胀模型的担忧。如果暴胀子存在于黎曼曲面中，并且暴胀子势是暴胀子场的多值函数，当它被视为复平面上的函数时，可以满足Lyth界限，同时保持有效场论中的场值在普朗克尺度内。我们表明，一个多值暴胀子潜在的可以实现从一个单值拉格朗日有效场论低于普朗克尺度。
The observation of the B-mode in the cosmic microwave background radiation combined with the so-called Lyth bound suggests the trans-Planckian variation of the inflaton field during inflation. Such a large variation generates concerns over inflation models in terms of the effective field theory below the Planck scale. If the inflaton resides in a Riemann surface and the inflaton potential is a multivalued function of the inflaton field when it is viewed as a function on a complex plane, the Lyth bound can be satisfied while keeping field values in the effective field theory within the Planck scale. We show that a multivalued inflaton potential can be realized starting from a single-valued Lagrangian of the effective field theory below the Planck scale.