Carrasco John Joseph M, Lewandowski Matthew, Pavao Nicolas H
Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208, USA.
Institut de Physique Théorique, Universite Paris Saclay, CEA, CNRS, F-91191 Gif-sur-Yvette, France.
Phys Rev Lett. 2023 Aug 4;131(5):051601. doi: 10.1103/PhysRevLett.131.051601.
We find that the duality between color and kinematics can be used to inform the high energy behavior of effective field theories. Namely, we demonstrate that the massless gauge theory of Yang-Mills deformed by a higher-derivative F^{3} operator cannot be tree level color dual while consistently factorizing without a tower of additional four-point counterterms with rigidly fixed Wilson coefficients that reaches to the ultraviolet (UV). We find through explicit calculation a suggestive resummation, namely that their amplitudes are consistent with the α^{'} expansion of those generated by the (DF)^{2}+YM theory, a known color-dual theory where the F^{2} term has been given a mass squared proportional to 1/α^{'}. As a result, considering consistent double-copy construction as a physical principle implies that an F^{3}-based color-dual resolution of the UV divergence in N=4 supergravity comes at the cost of field-theoretic locality. Similarly, when double copying F^{3} with itself, double-copy consistency lifts R^{3} gravity to a family of gravity theories with an all-order tower of higher-derivative corrections, which includes the closed bosonic string as a standard adjoint-type double copy.
我们发现，色与运动学之间的对偶性可用于揭示有效场论的高能行为。具体而言，我们证明了由高阶导数(F^{3})算符变形的无质量杨-米尔斯规范理论在没有一系列具有严格固定威尔逊系数且延伸至紫外（UV）的额外四点反项的情况下，不能在树图水平上实现色对偶且一致地进行因子分解。通过显式计算，我们发现了一个有启发性的重整化，即它们的振幅与由((DF)^{2}+YM)理论产生的那些振幅的(\alpha^{'})展开一致，((DF)^{2}+YM)理论是一个已知的色对偶理论，其中(F^{2})项具有与(1/\alpha^{'})成比例的质量平方。因此，将一致的双拷贝构造视为一个物理原理意味着，基于(F^{3})的(N = 4)超引力中UV发散的色对偶解是以场论局域性为代价的。类似地，当用(F^{3})自身进行双拷贝时，双拷贝一致性将(R^{3})引力提升为一族具有全阶高阶导数修正塔的引力理论，其中包括闭弦作为标准伴随型双拷贝。
