论文标题
量子标尺不变的重力
Quantum Scale Invariant Gravity with de Donder Gauge
论文作者
论文摘要
我们使用标量场对标度不变的重力进行显着的协变量量化，这相当于众所周知的Brans-dicke重力通过标量场的字段重新定义，在de donder仪条件下（或谐波条件）（或谐波条件）的一般坐标不变性。首先，在没有指定引力理论的表达的情况下，我们写下了各种相等的（反）换向关系（ETCR），特别是涉及中aniishi-lautrup领域，FP幽灵和FP Antighost的各种相等（ETCR），仅在DE Donder Gauge条件的基础上。结果表明，合唱对称性是Poincar $ {\ rm {\ acute {e}}} $ - 像$ iosp（8 | 8）$ supersymmetry，可以从与de don donder仪的一般动作中得出。接下来，将标度重力以标量场作为经典理论为基础，我们得出了涉及度量张量和标量场的重力部门的ETCR。此外，我们说明了量子对称性在量子重力中的自发损坏，从而表明Dilaton是无质量的Nambu-Goldstone粒子。
We perform the manifestly covariant quantization of a scale invariant gravity with a scalar field, which is equivalent to the well-known Brans-Dicke gravity via a field redefinition of the scalar field, in the de Donder gauge condition (or harmonic gauge condition) for general coordinate invariance. First, without specifying the expression of a gravitational theory, we write down various equal-time (anti-)commutation relations (ETCRs), in particular, those involving the Nakanishi-Lautrup field, the FP ghost, and the FP antighost only on the basis of the de Donder gauge condition. It is shown that choral symmetry, which is a Poincar${\rm{\acute{e}}}$-like $IOSp(8|8)$ supersymmetry, can be derived from such a general action with the de Donder gauge. Next, taking the scale invariant gravity with a scalar field as a classical theory, we derive the ETCRs for the gravitational sector involving the metric tensor and scalar fields. Moreover, we account for how scale symmetry is spontaneously broken in quantum gravity, thereby showing that the dilaton is a massless Nambu-Goldstone particle.
