标题： 与宇称不守恒在迹异常中的模型无关结果 显示英文标题

标题： Model-independent results on parity violation in the trace anomaly

摘要： 四维中的异常宇称破坏对现象学（重子生成，引力波）和数学物理具有重要意义。 在过去十年中，文献中存在争议，即自由Weyl费米子是否会在能量动量张量的迹中产生（异常的）宇称破坏；这分别由引力和规范场中的庞特里亚金密度$R\tilde R$和$F\tilde F$表示。 在参考文献$^1$中，我们使用路径积分方法证明，自由Weyl费米子的迹异常不会破坏宇称（即庞特里亚金密度的缺失）。 在后续工作$^2$中，我们得出了更强的结论，即对于任何与维度正则化相容的理论，庞特里亚金项同样缺失。 是微分同胚、洛伦兹和规范异常的\textit{有限性}防止了异常的宇称破坏。 显示英文摘要

摘要： Anomalous parity violation in four dimensions would be significant for phenomenology (baryogenesis, gravitational waves) and mathematical physics. Over the past decade, there has been a controversy in the literature as to whether free Weyl fermions give rise to (anomalous) parity violation in the trace of the energy momentum tensor; expressed by the Pontryagin densities $R\tilde R$ and $F\tilde F$ in the gravity and the gauge sector respectively. In Ref.$^1$, we have shown, using path integral methods, that the trace anomaly of a free Weyl fermion does not violate parity (i.e the absence of the Pontryagin density). In a subsequent work$^2$ we came to the stronger conclusion that for any theory compatible with dimensional regularisation, the Pontryagin-terms are equally absent. It is the \textit{finiteness} of the diffeomorphism, the Lorentz and the gauge anomalies that prevents anomalous parity violation.