论文标题
无数量表理论的对称性
Symmetries for scalarless scalar theories
论文作者
论文摘要
我们考虑包含与向量相互作用或张量自由度相互作用的标量字段的理论，该理论配备了对称性，以防止运动方程方程溶液周围线性化标量激励的传播。我们首先研究了这种对称性对构建矢量理论的含义，这些媒介理论破坏了阿贝尔仪表的不变性，而不必激发平坦空间中的纵向标量波动。然后，我们检查弯曲空间中的标量张量理论，并将我们考虑的对称性与在标量模式上作用的破碎时空对称性相关联。我们确定时空几何形状的足够条件，以避免标量波动的传播。我们分析了围绕球形对称黑洞的线性扰动，证明了缺乏标量启发，并指出了与爱因斯坦重力相对于自旋-2波动动力学的修改。然后，我们研究了该设置对暗能量问题的后果，确定了宇宙学配置的标量限制，这些构造可能导致自动加速的宇宙，这些宇宙的扩展对裸宇宙常数的价值不敏感。
We consider theories containing scalar fields interacting with vector or with tensor degrees of freedom, equipped with symmetries that prevent the propagation of linearized scalar excitations around solutions of the equations of motion. We first study the implications of such symmetries for building vector theories that break Abelian gauge invariance without necessarily exciting longitudinal scalar fluctuations in flat space. We then examine scalar-tensor theories in curved space, and relate the symmetries we consider with a non-linear realization of broken space-time symmetries acting on scalar modes. We determine sufficient conditions on the space-time geometry to avoid the propagation of scalar fluctuations. We analyze linearized perturbations around spherically symmetric black holes, proving the absence of scalar excitations, and pointing out modifications in the dynamics of spin-2 fluctuations with respect to Einstein gravity. We then study consequences of this set-up for the dark energy problem, determining scalar constraints on cosmological configurations that can lead to self-accelerating universes whose expansion is insensitive to the value of the bare cosmological constant.
