L∞-algebras and the perturbiner expansion
L∞-algebras and the perturbiner expansion
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L∞-代数和扰动展开式
DOI：
10.1007/jhep11(2019)010
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发表时间：
2019
影响因子：
5.4
通讯作者：
Alexander Quintero V'elez
中科院分区：
文献类型：
--
作者：
Cristhiam Lopez;Alexander Quintero V'elez
某些经典场论承认一种形式的多粒子解，称为摄动器展开，它作为所有树级散射振幅及其满足的Berends-Giele递推关系的生成函数。本文讨论了控制经典场论的L∞代数的最小模型包含足够的信息来确定与该理论相关的微扰展开。通过将摄动器解插入到L∞代数的同伦Maurer-Cartan作用中，给出了计算树级散射振幅的处方。我们在双伴随标量和Yang-Mills理论的非平凡例子中证实了该方法。
Certain classical field theories admit a formal multi-particle solution, known as the perturbiner expansion, that serves as a generating function for all the tree-level scattering amplitudes and the Berends-Giele recursion relations they satisfy. In this paper it is argued that the minimal model for the L∞-algebra that governs a classical field theory contains enough information to determine the perturbiner expansion associated to such theory. This gives a prescription for computing the tree-level scattering amplitudes by inserting the perturbiner solution into the homotopy Maurer-Cartan action for the L∞-algebra. We confirm the method in the non-trivial examples of bi-adjoint scalar and Yang-Mills theories.
影响因子：
5.4
作者：
Bridges, Elliot;Mafra, Carlos R.
通讯作者：
Mafra, Carlos R.