论文标题
统一的，异常的病房身份及其与Wess-Zumino条件，BV形式主义和$ L_ \ infty $ -Algebras的联系
Unitary, anomalous Master Ward Identity and its connections to the Wess-Zumino condition, BV formalism and $L_\infty$-algebras
论文作者
论文摘要
布赫霍尔兹（Buchholz）对QFT的c*代数构建依赖于时空的因果结构和古典拉格朗日人的因果结构。在以前的一篇论文中，我们已经在这种结构中引入了其他结构，即对对称性的作用，这与固定重量级化条件有关。此动作是异常的特征，并满足了共生状况，这在单一异常的病房身份中总结了。在这里（使用扰动理论）我们展示了这种共生条件与wess-zumino的一致性关系以及BV形式上异常的一致性关系如何，其中后者是相关的$ l_ \ l_ \ infty $ algebra的广义jacobi身份。
The C*-algebraic construction of QFT by Buchholz and one of us relies on the causal structure of spacetime and a classical Lagrangian. In one of our previous papers we have introduced additional structure into this construction, namely an action of symmetries, which is related to fixing renormalisation conditions. This action characterizes anomalies and satisfies a cocycle condition which is summarized in the unitary anomalous Master Ward identity. Here (using perturbation theory) we show how this cocycle condition is related to the Wess-Zumino consistency relation and the consistency relation for the anomaly in the BV formalism, where the latter is the generalized Jacobi identity for the associated $L_\infty$-algebra.
