论文标题
Weyl不变标量张力重力的量子理论
Quantum Theory of Weyl Invariant Scalar-tensor Gravity
论文作者
论文摘要
我们对Weyl不变性进行了显着的协变量量化，即，在扩展的Don Donder量规条件（或谐波量规条件）中，对于一般坐标不变性和在BRST形式上的框架内，用于一般坐标不变性的局部不变的，标量调节的重力（或谐波条件）和新的标量表。结果表明，合唱对称性是Poincar $ {\ rm {\ acute {e}}} $ - 像$ \ iosp（8 | 8）$ supersymmetry在Einstein Grattity的情况下扩展到Poincar $ {\ rmm {\ rmm {\ acter {\ acter {我们指出，量子重力中有一个重力共形对称性，并解释了平坦的Minkowski时空中传统的共形对称性如何与重力共形对称性有关。此外，我们研究了合唱对称性的自发对称性分解的机制，并表明引力的形成性对称性自发地分解为庞加莱对称性，而相应的无质量的Nambu-Goldstone玻色子是重力和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 perform a manifestly covariant quantization of a Weyl invariant, i.e., a locally scale invariant, scalar-tensor gravity in the extended de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance and a new scalar gauge for Weyl invariance within the framework of BRST formalism. It is shown that choral symmetry, which is a Poincar${\rm{\acute{e}}}$-like $\IOSp(8|8)$ supersymmetry in case of Einstein gravity, is extended to a Poincar${\rm{\acute{e}}}$-like $\IOSp(10|10)$ supersymmetry. We point out that there is a gravitational conformal symmetry in quantum gravity and account for how conventional conformal symmetry in a flat Minkowski space-time is related to the gravitational conformal symmetry. Moreover, we examine the mechanism of spontaneous symmetry breakdown of the choral symmetry, and show that the gravitational conformal symmetry is spontaneously broken to the Poincaré symmetry and 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.
