arXiv 0711.34422007-11hep-thastro-phgr-qchep-ph

引力暴胀子衰变与层次问题

Gravitational inflaton decay and the hierarchy problem

Yuki Watanabe, Eiichiro Komatsu

备注：: 6 pages, submitted to PRD, (v2) references added, (v3) revised to have inflaton quanta canonically normalized
发表信息：: Phys.Rev.D77:043514,2008
DOI：: 10.1103/PhysRevD.77.043514

摘要：

我们研究了G. Dvali，宇宙膨胀后的再加热。Dvali的建议包含了额外的N~10^{32} Z_2守恒量子场，这些量子场超出了质量为~1 TeV的标准模型粒子，使引力减弱了1/N，从而解释了普朗克尺度和电弱尺度之间的等级关系。我们表明，在这种情况下，通过引力衰变通道的暴胀子场的衰变率被增强了一个因子N，因此，它们非常有效地衰变成N种量子场，在限制，量子引力效应是不重要的引力衰变率。为了不使宇宙过热，暴胀子质量、暴胀子的真空期望值或非最小引力耦合应该被严格微调。我们的结论仍然成立，即使引力衰变被理论的某种对称性所禁止;如果暴胀子量子的数密度大于临界值，宇宙仍然可能通过暴胀子的湮灭而过热。

英文摘要：

We study implications of the large-N species solution to the hierarchy problem, proposed by G. Dvali, for reheating of the universe after inflation. Dvali's proposal contains additional N~10^{32} Z_2-conserved quantum fields beyond the Standard Model particles with mass ~1 TeV, which weaken gravity by a factor of 1/N, and thus explain the hierarchy between the Plank scale and the electroweak scale. We show that, in this scenario, the decay rates of inflaton fields through gravitational decay channels are enhanced by a factor of N, and thus they decay into N species of the quantum fields very efficiently, in the limit that quantum gravity effects are unimportant for the gravitational decay rate. In order not to over-reheat the universe, inflaton mass, vacuum expectation value of inflaton, or non-minimal gravitational coupling should be tightly fine-tuned. Our conclusion holds even when the gravitational decay is prohibited by some symmetry of the theory; the universe may still be over-reheated via annihilation of inflatons, if the number density of inflaton quanta is greater than the critical value.

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