论文标题
任何维度的通用有效现场理论的操作员：壳振幅基础构造
Operators For Generic Effective Field Theory at any Dimension: On-shell Amplitude Basis Construction
论文作者
论文摘要
我们描述了一个通用程序，用于构建通用洛伦兹不变的有效场理论的独立和完整的算子基础，鉴于任何类型的量规对称性和现场内容，直至任何质量尺寸。通过将操作员视为所谓的振幅操作员的接触式振幅振幅，我们通过Young Tableau Tensor提供了Lorentz和Lorentz和量规结构的统一结构。构建了几个基础以强调不同的方面：独立性（Y-BASIS和M-BASIS），带有口味（P-BASIS）的重复场和保守的量子数（J-Basis）。我们还提供了新的算法来通过构造小组发电机的年轻对称器的矩阵表示来定义群体因素和p-BASI的内部产品，以找到M-BASI。壳幅度基础为我们提供了一种将任何操作员转换为这样的基础的系统方法，因此线性代数可以轻松地完成任何其他操作员群之间的转换。所有这些都在Mathematica软件包中实现：ABC4EFT（有效现场理论的幅度基础构造）。
We describe a general procedure to construct the independent and complete operator bases for generic Lorentz invariant effective field theories, given any kind of gauge symmetry and field content, up to any mass dimension. By considering the operator as contact on-shell amplitude, the so-called amplitude operator correspondence, we provide a unified construction of the Lorentz and gauge and flavor structures by Young Tableau tensor. Several bases are constructed to emphasize different aspects: independence (y-basis and m-basis), repeated fields with flavors (p-basis), and conserved quantum numbers (j-basis). We also provide new algorithms for finding the m-basis by defining inner products for group factors and the p-basis by constructing the matrix representations of the Young symmetrizers from group generators. The on-shell amplitude basis gives us a systematic way to convert any operator into such basis, so that the conversions between any other operator bases can be easily done by linear algebra. All of these are implemented in a Mathematica package: ABC4EFT (Amplitude Basis Construction for Effective Field Theories).
