论文标题
Horava理论的Brst对称性和单位性
BRST symmetry and unitarity of the Horava theory
论文作者
论文摘要
我们对在BFV量化下的Horava理论的BRST对称转换进行了分析，无论是在不可投射和可投影的情况下。我们获得BRST转换与沿幽灵矢量场之一的特定空间差异密切相关。我们在很大程度上使用了这种差异性，明确地表明了量子作用的不变性和BRST转换的骨化。 BRST对称性在整个相位空间内，在约束表面内部和外部进行了验证。当局限于受约束的表面时，BRST转换是完全局部的。 BRST对称性的一致性是量子场理论的基本特征，特别是用于重生。 BFV量化与选择的量规条件无关。这使我们能够显示量子Horava理论的单位性，涵盖了重新规范化所需的规格。
We present an analysis on the BRST symmetry transformations of the Horava theory under the BFV quantization, both in the nonprojectable and projectable cases. We obtain that the BRST transformations are intimately related to a particular spatial diffeomorphism along one of the ghost vector fields. We show explicitly the invariance of the quantum action and the nilpotence of the BRST transformations, using this diffeomorphism largely. The BRST symmetry is verified in the whole phase space, inside and outside the constrained surface. When restricted to the constrained surface, the BRST transformations are completely local. The consistency of the BRST symmetry is a fundamental feature of a quantum field theory, specially for renormalization. The BFV quantization is independent of the chosen gauge-fixing condition. This allows us to show the unitarity of the quantum Horava theory, covering the gauge required for renormalization.
