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带有μ(φ,X)耦合的高斯-博内特暴胀中的有效再加热

Effective reheating in Gauss--Bonnet inflation with $μ(ϕ,X)$ coupling

Ali Seidabadi, Sara Saghafi, Kourosh Nozari

arXiv 2608.02506首次发表:更新:

发表机构

University of Mazandaran(马赞德兰大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文研究带μ(φ,X)耦合的标量-高斯-博内特暴胀模型的有效再加热,通过扫描参数分析其对再加热时长和温度的影响,并结合CMB讨论相关约束。

AI 中文摘要

我们研究了具有相空间依赖耦合μ(φ,X)的标量-高斯-博内特暴胀模型中的有效再加热,其中紧致场空间特征与有界动能门限相结合。修正后的暴胀背景决定了暴胀结束时的枢轴尺度量和有效能量密度,这些量随后通过热历史匹配关系推导再加热时长N_re和温度T_re。我们首先进行两次固定枢轴参考扫描,分别改变整体高斯-博内特强度λ_GB和动能参数g_X。对于参考参数选择,对于选定的再加热状态方程,任一参数的增加都会使N_re增大、T_re降低。额外的基准计算阐明了这些变化如何依赖于模型的动力学 regime。在λ_GB扫描中,N_re的增大和T_re的降低持续存在,尽管当耦合更局域化或暴胀结束受E模型势控制更强时,两种变化都会被强烈抑制。在g_X扫描中,随着g_X增大,更强的场空间局域化和动能饱和反而会导致N_re略有降低、T_re升高。当有界动能贡献与较弱的整体高斯-博内特相互作用结合考虑时,再加热量的变化变得几乎可忽略不计。代表性和替代基准的固定枢轴预测与CMB进行了比较,随后针对有效状态方程参数的四个代表性值w̄_re=-1/3、0、2/3和1讨论了再加热约束。

英文摘要

We study effective reheating in a scalar--Gauss--Bonnet inflationary model with a phase-space-dependent coupling $μ(ϕ,X)$, in which a compact field-space feature is combined with a bounded kinetic gate. The modified inflationary background determines the pivot-scale quantities and the effective energy density at the end of inflation. These quantities are then used to derive the reheating duration $N_{\rm re}$ and temperature $T_{\rm re}$ through the thermal-history matching relation. We first perform two fixed-pivot reference scans by varying the overall Gauss--Bonnet strength $λ_{\rm GB}$ and the kinetic parameter $g_{_X}$ separately. For the reference parameter choices, increasing either parameter increases $N_{\rm re}$ and decreases $T_{\rm re}$ for the selected reheating equations of state. Additional benchmark calculations clarify how these variations depend on the dynamical regime of the model. In the $λ_{\rm GB}$ scan, the increase in $N_{\rm re}$ and the decrease in $T_{\rm re}$ persist, although both variations become strongly suppressed when the coupling is more localized or when the end of inflation is controlled more strongly by the E-model potential. In the $g_{_X}$ scan, stronger field-space localization and kinetic saturation can instead lead to a slight decrease in $N_{\rm re}$ and an increase in $T_{\rm re}$ as $g_{_X}$ is increased. When the bounded kinetic contribution is considered together with a weaker overall Gauss--Bonnet interaction, the resulting changes in the reheating quantities become nearly negligible. The fixed-pivot predictions of the representative and alternative benchmarks are compared with CMB constraints.These reheating constraints are then discussed for four representative values of the effective equation-of-state parameter, $\overline{w}_{\rm re}=-1/3,0,2/3,$ and $1$.

Comments27 pages, 7 figures, 9 tables

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