论文标题
自发的保形对称性断裂和量子二次重力
Spontaneous Conformal Symmetry Breaking and Quantum Quadratic Gravity
论文作者
论文摘要
我们以更方便的形式重写一般的四阶动作后，研究了与二次重力相关的几种量子现象，该形式在衍生物中是二阶，并且仅在相空间中产生一流的约束。我们发现，如果该理论与标量耦合到获得非零的真空期望值并自发打破了合格对称性，则可能发生HIGGS机制在一般二次作用的共同不变子集中可能发生。然后，在破碎的相位，最初的无质量自旋2幽灵可能会吸收标量和向量场变得庞大。我们还对协方差算子形式主义进行了二阶二次重力的BRST量化，并讨论了可以建立完整相互作用量子理论的单位性的条件。
We investigate several quantum phenomena related to quadratic gravity after rewriting the general fourth-order action in a more convenient form that is second-order in derivatives and produces only first-class constraints in phase space. We find that a Higgs mechanism may occur in the conformally invariant subset of the general quadratic action if the theory is conformally coupled to a scalar field that acquires a non-zero vacuum expectation value and spontaneously breaks the conformal symmetry. Then, in the broken phase, the originally massless spin-2 ghost may absorb both the scalar and vector fields to become massive. We also perform a BRST quantization of second-order quadratic gravity in the covariant operator formalism and discuss conditions under which unitarity of the full interacting quantum theory may be established.
