Non-minimal derivative coupling (NMDC) to gravity in flat FLRW universe is investigated in the scenario of holographic dark energy. Kinetic term is coupled to the Einstein tensor under potential $V=(1∕2)m^2{\varphi }^2$. The free kinetic term is allowed to be canonical and phantom. Gravitational constant is modified with the NMDC coupling. Holographic cutoff at Hubble horizon gives modification to dark energy density. We evaluate dark energy equation of state and the variation of gravitational constant of the theory such that the theory can be constrained. It is found that positive NMDC coupling is favored rather than the negative one. The model with purely NMDC theory and the potential is favored with positive sub-Planckian NMDC coupling and decaying scalar field. The canonical scalar field with positive NMDC coupling under the scalar potential is also viable under some conditions that result in oscillating scalar field. The phantom field case is not favored in this model since the coupling and scalar mass are required to be super-Planckian while it is tightly constrained by gravitational constant variation observations.

在全息暗能量的情况下，研究了平面FLRW宇宙中重力的非最小导数耦合（NMDC）。动力学项在势下耦合到爱因斯坦张量$V=（\mathrm{1个}∕2）{米}^2{\varphi }^2$。自由动力学项是规范的和幻像的。重力常数通过NMDC耦合进行修改。哈勃地平线的全息截止值改变了暗能量密度。我们评估了暗能量状态方程和该理论的引力常数的变化，从而可以对该理论进行约束。发现，积极的NMDC耦合比消极的耦合更受青睐。具有纯NMDC理论且具有潜力的模型受到正普朗克次NMDC耦合和标量场衰减的青睐。在标量电势下具有正NMDC耦合的规范标量场在某些导致标量场振荡的条件下也是可行的。