论文标题
共形度量承重重力
Conformal Metric-Affine Gravities
论文作者
论文摘要
我们重新审视与公制植入形式主义中可集成的投影转换有关的量规对称性，将Weyl（共形）对称性的量规场确定为仿射连接的动力组成部分。特别是，我们展示了如何将局部缩放对称性作为大量几何重力理论的规范对称性，引入了一个自然产生stückelberg部门的补偿器dilaton领域，其中共同对称的自发破坏机制可在质量尺度上产生质量规模。 For Ricci-based gravities that include, among others, General Relativity, $f(R)$ and $f(R,R_{μν}R^{μν})$ theories and the EiBI model, we prove that the on-shell gauge vector associated to the scaling symmetry can be identified with the torsion vector, thus recovering and generalizing conformal invariant theories in the Riemann-Cartan formalism,已经存在于文献中。
We revisit the gauge symmetry related to integrable projective transformations in metric-affine formalism, identifying the gauge field of the Weyl (conformal) symmetry as a dynamical component of the affine connection. In particular, we show how to include the local scaling symmetry as a gauge symmetry of a large class of geometric gravity theories, introducing a compensator dilaton field that naturally gives rise to a Stückelberg sector where a spontaneous breaking mechanism of the conformal symmetry is at work to generate a mass scale for the gauge field. For Ricci-based gravities that include, among others, General Relativity, $f(R)$ and $f(R,R_{μν}R^{μν})$ theories and the EiBI model, we prove that the on-shell gauge vector associated to the scaling symmetry can be identified with the torsion vector, thus recovering and generalizing conformal invariant theories in the Riemann-Cartan formalism, already present in the literature.
