电弱重子产生的玻尔兹曼方程的系统推导
Systematic derivation of the Boltzmann equation for electroweak baryogenesis
浏览论文内容
中文总结 AI 辅助
该研究在电弱重子产生的场论框架内，通过纳入CP破坏泡壁梯度、保留自能修正，系统推导了多味玻色子和费米子系统的玻尔兹曼方程，结果与已知形式在忽略自能修正时一致。
中文摘要 AI 辅助
我们在场论框架内推导电弱重子产生的玻尔兹曼方程。首先，我们通过逐阶纳入CP破坏泡壁背景的梯度效应，代数求解Kadanoff–Baym方程；接着应用适用于电弱重子产生的近似与假设，识别解的在壳部分，该部分描述等离子体中传播的准粒子态。利用这些在壳解，我们推导了味对角准粒子模式的玻尔兹曼方程，同时忽略描述不同味模式间量子相干的非对角分量。我们的推导通过保留自能修正，推广了先前的场论处理，当忽略这些修正时，结果与已知玻尔兹曼方程一致。该框架提供了一种系统且清晰的推导方法，适用于多味玻色子和费米子系统。
英文摘要
We derive the Boltzmann equation for electroweak baryogenesis within a field-theoretical framework. We first algebraically solve the Kadanoff--Baym equations by incorporating the effects of gradients of the CP-violating bubble-wall background order by order. We then apply approximations and assumptions appropriate for electroweak baryogenesis and identify the on-shell parts of the solutions, which describe quasiparticle states propagating in a plasma. Using these on-shell solutions, we derive the Boltzmann equations for flavor-diagonal quasiparticle modes, while neglecting the off-diagonal components describing quantum coherence between different flavor modes. Our derivation generalizes previous field-theoretical treatments by retaining self-energy corrections, and our results are consistent with the known Boltzmann equations when these corrections are neglected. This framework provides a systematic and transparent derivation applicable to multi-flavor bosonic and fermionic systems.
