论文标题
在温暖通货膨胀的标量场潜力上的限制
Constraints on the scalar-field potential in warm inflation
论文作者
论文摘要
我们量化了在温暖通货膨胀的强烈耗散状态下实现观察到可行充气期所需的微调程度。 ``微调''参数$λ$被认为是潜在$ΔV$的变化与标量场$（δϕ）^{4} $的变化的比例，即潜力的宽度，因此可以衡量潜在潜力的必要程度。最佳动机的温暖通货膨胀方案涉及$ c \ geq 0 $的种类耗散率，而$ c \ geq 0 $，对于所有此类情况，$λ$的界限比至少3个数量级的标准冷通货膨胀的范围更紧。换句话说，这些模型比标准通货膨胀所需要的均匀潜力。另一方面，对于$ c <0 $的温暖通货膨胀的情况，我们发现在强烈的耗散状态下，对$λ$的限制在寒冷通货膨胀方面可能会大大减弱。因此，如果可以在强烈的，负温度依赖性的状态下构建温暖的通货膨胀模型，则可以容纳标准通货膨胀中排除的陡峭电位。
We quantify the degree of fine tuning required to achieve an observationally viable period of inflation in the strongly dissipative regime of warm inflation. The ``fine-tuning'' parameter $λ$ is taken to be the ratio of the change in the height of the potential $ΔV$ to the change in the scalar field $(Δϕ)^{4}$, i.e. the width of the potential, and therefore measures the requisite degree of flatness in the potential. The best motivated warm inflationary scenarios involve a dissipation rate of the kind $Γ\propto T^c$ with $c\geq 0$, and for all such cases, the bounds on $λ$ are tighter than those for standard cold inflation by at least 3 orders of magnitude. In other words, these models require an even flatter potential than standard inflation. On the other hand for the case of warm inflation with $c< 0$, we find that in a strongly dissipative regime the bound on $λ$ can significantly weaken with respect to cold inflation. Thus, if a warm inflation model can be constructed in a strongly dissipative, negatively temperature-dependent regime, it accommodates steeper potentials otherwise ruled out in standard inflation.
