论文标题
大规模双拷贝的限制和对大量重力的应用
Constraints on a Massive Double-Copy and Applications to Massive Gravity
论文作者
论文摘要
我们提出并研究了大规模颗粒的BCJ双拷贝，表明它等同于KLT公式，其内核由大型双活动标量振幅的基质给出。对于具有均匀非零质谱的模型，我们证明了物理杆上产生的双拷贝因子以及至少5个粒子散射，始终存在满足分子的色系。对于5个或更多粒子的散射，该过程通常会引入虚假的奇异性，必须通过施加其他约束来取消这些奇异性。当存在巨大的颗粒时，颜色界面二元性不足以保证物理双拷贝。例如，我们将形式主义应用于巨大的阳米尔，并表明多达4个粒子散射双拷贝结构会产生DRGT大型重力模型的物理振幅，该模型与Dilaton和Dilaton和两种形式的dialaton Parity均可产生违反耦合的两种形式。我们表明，在此示例中，5粒子双拷贝中的虚假奇异性不会取消，并且构造无法产生身体上明智的振幅。我们猜测对质谱的足够约束，除了大规模的BCJ关系，还可以保证缺乏虚假的奇异性。
We propose and study a BCJ double-copy of massive particles, showing that it is equivalent to a KLT formula with a kernel given by the inverse of a matrix of massive bi-adjoint scalar amplitudes. For models with a uniform non-zero mass spectrum we demonstrate that the resulting double-copy factors on physical poles and that up to at least 5-particle scattering, color-kinematics satisfying numerators always exist. For the scattering of 5 or more particles, the procedure generically introduces spurious singularities that must be cancelled by imposing additional constraints. When massive particles are present, color-kinematics duality is not enough to guarantee a physical double-copy. As an example, we apply the formalism to massive Yang-Mills and show that up to 4-particle scattering the double-copy construction generates physical amplitudes of a model of dRGT massive gravity coupled to a dilaton and a two-form with dilaton parity violating couplings. We show that the spurious singularities in the 5-particle double-copy do not cancel in this example, and the construction fails to generate physically sensible amplitudes. We conjecture sufficient constraints on the mass spectrum, which in addition to massive BCJ relations, guarantee the absence of spurious singularities.
