AI 中文总结
研究彩虹宇宙学框架下的重子生成，采用具软破缺U(1)对称性的复标量场，通过修正色散关系得到解析解，动态产生重子不对称，重子与光子比渐近趋常数，为辐射主导期重子生成提供无超对称的可行机制。
AI 中文摘要
我们在彩虹宇宙学框架下，利用具有软破缺整体U(1)对称性的复标量场研究重子生成。彩虹宇宙学修正的色散关系导致FLRW度规分量的能量依赖修正，进而修改弗里德曼方程和标量场动力学。我们得到了辐射主导时期标量场演化的解析解，表明即使初始为重子对称状态也能动态产生重子不对称。发现重子与光子比在长时间极限下渐近趋近一个常数，与对称破缺耦合强度λ成正比，与标量场质量成M^(-5/2)比例。结果表明，与观测到的重子不对称相一致的要求将λ和M值限制在合理范围内，为辐射主导时期的重子生成提供了一种无需超对称的可行动力学机制。
英文摘要
We investigate baryogenesis in the framework of rainbow cosmology employing a complex scalar field with a softly broken global $U(1)$-symmetry. The modified dispersion relation of rainbow cosmology leads to energy-dependent modification to the FLRW metric components, that modifies the Friedmann equation and the scalar field dynamics. We thereby obtain analytical solutions for the scalar field evolution in the radiation-dominated epoch, and show that baryon asymmetry is generated dynamically even from an initially baryon-symmetric state. We find that the baryon-to-photon ratio asymptotically approaches a constant value in the long-time limit, which is proportional to the symmetry-breaking coupling strength $λ$, and scales with the scalar field mass as $M^{-5/2}$. Our results demonstrate that requiring consistency with the observed baryon asymmetry constrains the $λ$ and $M$ values within reasonable ranges, thus providing a viable dynamical mechanism for baryogenesis during the radiation-dominated era without invoking supersymmetry.
Comments31 pages
