论文标题
BR的首发形式主义是Weyl共形性重力
BRST Formalism of Weyl Conformal Gravity
论文作者
论文摘要
我们介绍了Weyl几何形状中的Weyl共形性重力的首次形式主义。为通用坐标不变性选择扩展的de donder固定条件（或谐波条件），并为韦尔不变性选择新的标量表固定量表固定条件，我们发现有一个poincar $ {\ rm {\ rm {\ rm {\ rim {\ acute {e}}}} $ - 像$ \ iosp（10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 几何学。我们还指出，量子重力中有一个重力保形对称性，尽管由于Weyl仪表对称性的自发对称性崩溃，并说明了引力保形的对称性是如何自发地破坏了庞加莱对称性的。相应的无质量Nambu-Goldstone玻色子是Graviton和Dilaton。我们还根据BRST四重奏机制证明了物理S-矩阵的单位性。
We present the BRST formalism of a Weyl conformal gravity in Weyl geometry. Choosing the extended de Donder gauge-fixing condition (or harmonic gauge condition) for the general coordinate invariance and the new scalar gauge-fixing for the Weyl invariance we find that there is a Poincar${\rm{\acute{e}}}$-like $\IOSp(10|10)$ supersymmetry as in a Weyl invariant scalar-tensor gravity in Riemann geometry. We also point out that there is a gravitational conformal symmetry in quantum gravity although there is a massive Weyl gauge field as a result of spontaneous symmetry breakdown of Weyl gauge symmetry and account for how the gravitational conformal symmetry is spontaneously broken to the Poincaré symmetry. The corresponding massless Nambu-Goldstone bosons are the graviton and the dilaton. We also prove the unitarity of the physical S-matrix on the basis of the BRST quartet mechanism.
