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arXiv 2008.05491hep-thastro-ph.COhep-ph
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自然暴胀、强动力学和广义异常的作用

Natural inflation, strong dynamics, and the role of generalized anomalies

Mohamed M. Anber, Stephen Baker

摘要:

我们重新审视自然暴胀的模型,并表明,单场有效理论所描述的潜在的$V(a)\sim \cos\frac{a}{f}$打破了暴胀$a$使大的领域的漂移,即使是值小于普朗克尺度的$f$。为了解决这个问题,我们修改的潜力,以占重的自由度(强子),成为交织在一起的轻暴胀,后者滚下其潜力。通过将低能自由度嵌入到紫外完全规范理论中,我们认为这两个尺度之间的纠缠可以解释为离散手征对称性和背景分数通量在重子数、色和味方向上的广义混合t Hooft反常的结果。此外,我们研究了多场暴胀,并表明它具有丰富的动力学。在山顶附近的暴胀激发了强子,破坏了慢滚参数,这与单场暴胀中的预期相反。然而,我们确定了一个安全区,在那里通货膨胀可以成功地进行。我们确定的条件下,宇宙膨胀至少$60$ e-折叠和膨胀导致的功率谱和张量标量比是一致的宇宙微波背景数据。

英文摘要:

We revisit models of natural inflation and show that the single-field effective theory described by the potential $V(a)\sim \cos\frac{a}{f}$ breaks down as the inflaton $a$ makes large-field excursions, even for values of $f$ smaller than the Planck scale. In order to remedy the problem, we modify the potential in order to account for the heavy degrees of freedom (hadrons) that become intertwined with the light inflaton as the latter rolls down its potential. By embedding the low energy degrees of freedom into an ultraviolet complete gauge theory, we argue that the intertwining between the two scales can be explained as the result of a generalized mixed 't Hooft anomaly between the discrete chiral symmetry and background fractional fluxes in the baryon number, color, and flavor directions. Further, we study the multi-field inflation and show that it entertains rich dynamics. Inflating near the hilltop excites the hadrons and spoils the slow-roll parameters, in contradistinction with the expectations in the single-field inflation. Nevertheless, we identify a safe zone where inflation can proceed successfully. We determine the conditions under which the Universe inflates by at least $60$ e-foldings and inflation leads to a power spectrum and tensor to scalar ratio that are consistent with the Cosmic Microwave Background data.

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