论文标题
大规模标量字段理论的双副本
Double Copy for Massive Scalar Field Theories
论文作者
论文摘要
我们探索双复制的扩展到大规模理论，并找到具有局部双复制的新立方体理论。我们考虑非线性Sigma模型和特殊的Galileon理论，其无数版本已知通过双拷贝相关。我们表明，通过将这些理论从五个维度降低到四个方面的kaluza-klein降低到四个方面，则在结果的大量四维标量场理论之间存在双复制关系。这就需要在高维度中产生的新伽利略术语的消失贡献。我们进一步探讨了如果非线性sigma模型的维度降低不产生的其他相互作用是否可以进行双重复制，并找到一种满足BCJ关系的新立方相互作用，最高可达5点振幅。
We explore extensions of the double copy to massive theories and find a new cubic theory with a local double copy. We consider the nonlinear sigma model and the special galileon theory, massless versions of which are known to be related through the double copy. We show that by performing a Kaluza-Klein reduction of these theories from five dimensions down to four, a double copy relation exists between the resulting massive four-dimensional scalar field theories. This requires the vanishing contribution of new galileon terms arising in high dimensions. We further explore if other interactions that do not arise from a dimensional reduction of the nonlinear sigma model could be double copied and find a new cubic interaction which satisfies the BCJ relations up to 5-point amplitudes.
