arXiv 2101.017962021-01-05hep-phastro-ph.COhep-th

恢复费米子产生的混沌暴胀：一个超引力模型

Reviving chaotic inflation with fermion production: a supergravity model

Michael A. Roberts, Lorenzo Sorbo

备注：: 13 pages, 3 figures
DOI：: 10.1088/1475-7516/2021/06/047

摘要：

暴胀期间的粒子产生过程可以增加标量度规扰动的幅度。我们表明，这样的机制可以自然地出现在超引力模型中的轴子样的领域，其潜力是由monodromy，驱动大型领域的通货膨胀。在这类模型中，人们通常期望对超势的类似瞬子的修正。我们表明，通过推导超重力模型中的运动方程与稳定器，这种修正产生的暴胀子和它的超伙伴之间的相互作用。这个暴胀子-暴胀子相互作用项是快速振荡的，并且可以在暴胀期间导致大量的费米子产生，填充费米球直到比哈勃参数大得多的动量。反过来，这些费米子产生暴胀子涨落，增加它们的振幅，并有效地降低模型的张量标量比，如[1，2]所讨论的。这使得，特别是，使模型的暴胀子潜力是二次（加上可忽略不计的小瞬子修正），以符合所有现有的观察。

英文摘要：

Processes of particle production during inflation can increase the amplitude of the scalar metric perturbations. We show that such a mechanism can naturally arise in supergravity models where an axion-like field, whose potential is generated by monodromy, drives large field inflation. In this class of models one generally expects instanton-like corrections to the superpotential. We show, by deriving the equations of motion in models of supergravity with a stabilizer, that such corrections generate an interaction between the inflaton and its superpartner. This inflaton-inflatino interaction term is rapidly oscillating, and can lead to copious production of fermions during inflation, filling the Fermi sphere up to momenta much larger than the Hubble parameter. In their turn, those fermions source inflaton fluctuations, increasing their amplitude, and effectively lowering the tensor-to-scalar ratio for the model, as discussed in [1, 2]. This allows, in particular, to bring the model where the inflaton potential is quadratic (plus negligibly small instanton corrections) to agree with all existing observations.

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