Quantum theory of Weyl-invariant scalar-tensor gravity
Quantum theory of Weyl-invariant scalar-tensor gravity
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DOI：
10.1103/physrevd.105.126018
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发表时间：
2022-04
影响因子：
5
通讯作者：
I. Oda
中科院分区：
文献类型：
--
作者：
I. Oda
我们执行外尔不变量的明显协变量化，即，一个局部标度不变，标量张量引力在扩展的de Donder规范条件（或谐波规范条件）的一般坐标不变性和一个新的标量规范Weyl不变性的框架内的BRST形式主义。结果表明，该系统具有Poincar ′ e-like IOSp（8| 8）超对称的情况下，爱因斯坦引力，扩展到庞加莱类IOSp（10| 10）超对称性。我们指出，有一个引力共形对称的量子引力，并说明如何在一个传统的共形对称的Minkowski时空是与引力共形对称。此外，我们还研究了自发对称性破缺的机制，证明了引力共形对称性自发破缺为庞加莱对称性，相应的无质量南武-戈德斯通玻色子是引力子和玻色子。我们还证明了基于BRST四重态机制的物理S矩阵的么正性。
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´e-like IOSp (8 | 8) supersymmetry in case of Einstein gravity, is extended to a Poincar´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 Poincar´e 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.