论文标题
较高的衍生标量调整单元素及其分类
Higher derivative scalar-tensor monomials and their classification
论文作者
论文摘要
我们对标量曲线张量构建的标量单元进行了完整分类，直到标量场的二次顺序和协变量，直到第三阶。从有效场理论的角度来看，标量场的第三甚至更高阶协方差衍生物与较高的曲率项的顺序相同，因此应考虑到。此外，标量场的较高曲率项和高阶衍生物彼此互补，其中可能存在新颖的无鬼组合。根据每个单一单元中标量场的riemann张量和较高的衍生物的数量，我们对所有可能的单一分类进行了系统的分类。每种顺序的单元的完整基础是得出的，其中线性组合可能会产生新颖的无幽灵拉格朗日人。我们还开发了单元的图表表示，这可能有助于简化分析。
We make a full classification of scalar monomials built of the Riemann curvature tensor up to the quadratic order and of the covariant derivatives of the scalar field up to the third order. From the point of view of the effective field theory, the third or even higher order covariant derivatives of the scalar field are of the same order as the higher curvature terms, and thus should be taken into account. Moreover, higher curvature terms and higher order derivatives of the scalar field are complementary to each other, of which novel ghost-free combinations may exist. We make a systematic classification of all the possible monomials, according to the numbers of Riemann tensor and higher derivatives of the scalar field in each monomial. Complete basis of monomials at each order are derived, of which linear combinations may yield novel ghost-free Lagrangians. We also develop a diagrammatic representation of the monomials, which may help to simplify the analysis.
