论文标题
在双覆盖框架中传输脱壳CHY积分
Transmuting off-shell CHY integrals in the double-cover framework
论文作者
论文摘要
在本文中，通过将外壳振幅定义为脱壳CHY积分，并重新定义了纵向操作员，我们证明了将壳振幅链接到各种理论的差分运算符，也以类似的方式将外壳振幅链接起来。基于差分运算符的代数特性，我们还将三个关系概括为颜色订购的壳上振幅，包括颜色订购的反向关系，光子解耦关系，kleiss-kuijf关系，将其归为Off-shell。选择分离的CHY积分被选择在双层覆盖框架中，因此，作为按产品，我们的结果还为双层结构提供了验证。
In this paper, by defining off-shell amplitudes as off-shell CHY integrals, and redefining the longitudinal operator, we demonstrate that the differential operators which link on-shell amplitudes for a variety of theories together, also link off-shell amplitudes in the similar manner. Based on the algebraic property of the differential operator, we also generalize three relations among color-ordered on-shell amplitudes, including the color-ordered reversed relation, the photon decoupling relation, the Kleiss-Kuijf relation, to off-shell ones. The off-shell CHY integrals are chosen to be in the double-cover framework, thus, as a by product, our result also provides a verification for the double-cover construction.
