论文标题
从BFV到BV和时空协方差
From BFV to BV and spacetime covariance
论文作者
论文摘要
给定规程理论的BFV公式通常比其BV公式更容易获得。 Grigoriev和Damgaard引入了简单的公式，用于从前者那里获得后者。但是，由于BFV依赖于量规理论的哈密顿版本，因此总的来说，总的来说，由此产生的BV理论没有表现出时空协方差。我们在两个时空维度中提供了这种现象的明确示例，并通过改善grigoriev--damgaard程序，以其原始公式的适当改编来展示如何恢复BV数据的协方差。
The BFV formulation of a given gauge theory is usually significantly easier to obtain than its BV formulation. Grigoriev and Damgaard introduced simple formulas for obtaining the latter from the former. Since BFV relies on the Hamiltonian version of the gauge theory, however, it does not come as a surprise that in general the resulting BV theory does not exhibit space-time covariance. We provide an explicit example of this phenomenon in two spacetime dimensions and show how to restore covariance of the BV data by improving the Grigoriev--Damgaard procedure with appropriate adaptations of its original formulas.
