来自旋转复标量共形极限的大蓝谱指数
Large Blue Spectral Index From a Conformal Limit of a Rotating Complex Scalar
AI总结：
本研究提出在含Peccei-Quinn对称性破缺径向伙伴四次势项的条件下，利用旋转复标量的共形极限获得数值为3的大蓝轴子等曲率谱指数的方法，并讨论了符合轴子暗物质与等曲率宇宙学的参数区域。
摘要：
产生轴子等曲率扰动的大蓝谱指数的一种知名方法，是通过一条不存在轴子场径向伙伴的四次势项的平坦方向实现的。在本研究中，我们展示了即便存在与Peccei-Quinn对称性破缺径向伙伴相关的四次势项，仍可获得大蓝谱指数的机制。我们利用了如下事实：带有四次项的大径向方向可自然诱导出共形极限，该极限能产生数值为3的等曲率谱指数。我们指出，这种共形表述在本质上既不同于普通的平衡轴子场景，也不同于闵可夫斯基时空中的无质量场。理解该极限的另一种视角，是将其视为初始条件的角动量减缓径向场运动的场景，或是一种超流极限。我们极为谨慎地处理了径向场导数与角场导数不对易的非静态系统的量子化问题，以计算真空态。本文还讨论了与轴子暗物质及等曲率宇宙学相符的参数区域。
英文摘要：
One well known method of generating a large blue spectral index for axionic isocurvature perturbations is through a flat direction not having a quartic potential term for the radial partner of the axion field. In this work, we show how one can obtain a large blue spectral index even with a quartic potential term associated with the Peccei-Quinn symmetry breaking radial partner. We use the fact that a large radial direction with a quartic term can naturally induce a conformal limit which generates an isocurvature spectral index of 3. We point out that this conformal representation is intrinsically different from both the ordinary equilibrium axion scenario or massless fields in Minkowski spacetime. Another way to view this limit is as a scenario where the angular momentum of the initial conditions slows down the radial field or as a superfluid limit. Quantization of the non-static system in which derivative of the radial field and the derivative of the angular field do not commute is treated with great care to compute the vacuum state. The parametric region consistent with axion dark matter and isocurvature cosmology is discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
