.png){kind=icon}
返回
Simple recursion relations for general field theories
.png){kind=icon}
OA
AI
DOI：10.1007/JHEP06(2015)118.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
On-shell methods offer an alternative definition of quantum field theory at tree-level, replacing Feynman diagrams with recursion relations and interaction vertices with a handful of seed scattering amplitudes. In this paper we determine the simplest recursion relations needed to construct a general four-dimensional quantum field theory of massless particles. For this purpose we define a covering space of recursion relations which naturally generalizes all existing constructions, including those of BCFW and Risager. The validity of each recursion relation hinges on the large momentum behavior of an n-point scattering amplitude under an m-line momentum shift, which we determine solely from dimensional analysis, Lorentz invariance, and locality. We show that all amplitudes in a renormalizable theory are 5-line constructible. Amplitudes are 3-line constructible if an external particle carries spin or if the scalars in the theory carry equal charge under a global or gauge symmetry. Remarkably, this implies the 3-line constructibility of all gauge theories with fermions and complex scalars in arbitrary representations, all supersymmetric theories, and the standard model. Moreover, all amplitudes in non-renormalizable theories without derivative interactions are constructible; with derivative interactions, a subset of amplitudes is constructible. We illustrate our results with examples from both renormalizable and non-renormalizable theories. Our study demonstrates both the power and limitations of recursion relations as a self-contained formulation of quantum field theory.
Keyword:
Scattering Amplitudes
Supersymmetric Standard Model
Effective field theories
Standard Model
期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
机构
引用论文
Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators来自高维算子的振幅的颜色运动学对偶和双副本构造OAAI
.png){kind=icon}
OAAI分享收藏分享收藏分享收藏Improving the robustness of recursive consequent parameters learning in evolving neuro-fuzzy systems
OAAI
OAAI分享收藏
查看更多内容