论文标题
非模构重力的非最小程度
Non-minimal Tinges of Unimodular Gravity
论文作者
论文摘要
通常认为单型重力等效于所有物质的一般相对论，但宇宙常数的特征。在这里，我们在存在非最低耦合标量场的情况下讨论了这种对等。我们表明，当我们认为重力在QFT的意义上是动力学时，量子校正可以区分这两种理论，如果非最小耦合是非呈现的。为了证明这一点，我们构建了一个单模型重力的路径积分公式，固定了理论的复杂规数并计算所有一环差异。我们找到了拉格朗日中的耦合的组合，我们可以分配物理含义。它说明在给定能量量表上是否可以忽略量子引力现象。其重新归一化组流量取决于是否以一般相对论或单模型的重力计算出来。
Unimodular Gravity is normally assumed to be equivalent to General Relativity for all matters but the character of the Cosmological Constant. Here we discuss this equivalence in the presence of a non-minimally coupled scalar field. We show that when we consider gravitation to be dynamical in a QFT sense, quantum corrections can distinguish both theories if the non-minimal coupling is non-vanishing. In order to show this, we construct a path integral formulation of Unimodular Gravity, fixing the complicated gauge invariance of the theory and computing all one-loop divergences. We find a combination of the couplings in the Lagrangian to which we can assign a physical meaning. It tells whether quantum gravitational phenomena can be ignored or not at a given energy scale. Its renormalization group flow differs depending on if it is computed in General Relativity or Unimodular Gravity.
