论文标题

超轻型轴突呈标量场的宇宙演化

The cosmological evolution of ultralight axionlike scalar fields

论文作者

Norton, Cameron E., Scherrer, Robert J.

论文摘要

我们检查了超轻轴状(ULA)标量场的宇宙学演化,其电位$ v(ϕ)= m^2 f^2 [1- \ cos(ϕ/f)]^n $,特别强调了它们与相应的小$ -D $ -Deptions to to small $ - ϕ $ - 驱动的近似值的偏差。我们表明,在慢速旋转方案中,当$ \ dot ϕ^2/2 \ ll V(ϕ)$时,与相应的功率定律近似相比,完整的ULA电势会产生更有趣的可能性范围。对于快速振荡的标量场,我们得出了ULA电位的状态参数和振荡频率的方程,并显示它们如何偏离相应的幂律值。我们得出了状态参数方程的分析表达式,该方程比纯幂律近似更好地近似ULA值。

We examine the cosmological evolution of ultralight axionlike (ULA) scalar fields with potentials of the form $V(ϕ) = m^2 f^2[1 - \cos(ϕ/f)]^n$, with particular emphasis on the deviation in their behavior from the corresponding small$-ϕ$ power-law approximations to these potentials: $V(ϕ) \propto ϕ^{2n}$. We show that in the slow-roll regime, when $\dot ϕ^2/2 \ll V(ϕ)$, the full ULA potentials yield a more interesting range of possibilities for quintessence than do the corresponding power law approximations. For rapidly oscillating scalar fields, we derive the equation of state parameter and oscillation frequency for the ULA potentials and show how they deviate from the corresponding power-law values. We derive an analytic expression for the equation of state parameter that better approximates the ULA value than does the pure power-law approximation.

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