论文标题
协变量对单形状重力I的协变量 - 具有反对称张量鬼的配方 -
Covariant BRST Quantization of Unimodular Gravity I -- Formulation with antisymmetric tensor ghosts --
论文作者
论文摘要
单型重力（UG）是一个有趣的理论，可以解释为什么宇宙常数非常小，与一般相对论（GR）相反。该理论仅具有横向差异不变性，这引起了很多关于UG在协变量中GR的等效性的争论。我们通过仅固定横向差异形态来研究UG的协变量量化，并表明其余的物理自由度为两个，与GR相同。这是通过使用反对称张量的幽灵场来实现的，该电场会自动满足而没有非本地投影算子的横向状态。该理论展示了幽灵现象的鬼魂，这需要进一步的量规修复和引入更多鬼魂。我们确定了各个领域之间的Brst四重奏结构，并挑出其余的物理自由度。
Unimodular gravity (UG) is an interesting theory that may explain why the cosmological constant is extremely small, in contrast to general relativity (GR). The theory has only the transverse diffeomorphism invariance and this causes lots of debate as to the equivalence of UG to GR in the covariant quantization. We study the covariant BRST quantization of UG by gauge fixing only the transverse diffeomorphism and show that the remaining physical degrees of freedom are two, the same number as GR. This is achieved by using antisymmetric tensor ghost fields which automatically satisfy the transverse condition without nonlocal projection operator. The theory exhibits the ghosts for ghosts phenomenon, which requires further gauge fixing and introduction of more ghosts. We identify the BRST quartet structure among the various fields and single out the remaining physical degrees of freedom.
