双覆盖框架中树振幅的因子分解：从引力到其他理论
Factorizations for tree amplitudes in the double-cover framework: from gravity to other theories
摘要：
在本文中，我们证明了双覆盖框架中的树振幅的因式分解，对于各种理论，可以从双覆盖处方中的重力振幅产生。利用我们的方法，导出了Yang-Mills理论、特殊Yang-Mills标量理论和双伴随标量理论振幅的因式分解公式。这些微分算子揭示了上述理论中因子分解之间的一些非平凡关系，这些关系可以从因子分解通道、极点结构、规范选择以及BCFW递归四个角度来理解。
英文摘要：
In this paper, we demonstrate that the factorizations for tree amplitudes in the double-cover framework, for various theories, can be generated from the gravity amplitude in the double-cover prescription. Using our method, the factorized formulae for amplitudes of Yang-Mills theory, special Yang-Mills-scalar theory, and bi-adjoint scalar theory, have been derived. The differential operators indicate some non-trivial relationships among factorizations for above theories, as can be understood through four angles which are factorization channels, pole-structures, gauge choices, as well as BCFW recursions.
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