论文标题
有效田间理论中弦乐单构的出现
Emergence of String Monodromy in Effective Field Theory
论文作者
论文摘要
字符串monodromy是带有顶点算子的不同顺序的开放式弦树幅度之间的一组线性关系。在这封信中，我们展示了这些本质上弦的关系如何从当地的假设和田间理论Kleiss-Kuijf（KK）和Bern-Carrasco-Johansson（BCJ）关系中从低能量有效的现场理论中出现。具体而言，我们研究了双活动标量模型有效场理论（BAS EFT）。我们将田间理论KK和BCJ关系强加于BAS EFT振幅的两个颜色订购之一，并表明第二种颜色订购具有一组新兴的线性关系，如以36个衍生的4点选中所检查的正好是单构型关系。 4分结果取决于6点BAS EFT振幅的一致分解与6点KK BCJ条件之间的微妙相互作用。由于分析的结果，4点Z理论的树幅度被引导到$ s，t，u $中的对称函数，其简单的凸起形式具有自由参数，可在与z理论匹配时捕获所有奇数zeta值。
String monodromy is a set of linear relations among open string tree amplitudes with different orderings of the vertex operators. In this Letter, we show how these intrinsically stringy relations emerge in low-energy effective field theory from the assumptions of locality and the field theory Kleiss-Kuijf (KK) and Bern-Carrasco-Johansson (BCJ) relations. Specifically, we study the bi-adjoint scalar model effective field theory (BAS EFT). We impose the field theory KK and BCJ relations on one of the two color-orderings of the BAS EFT amplitudes and show that the second color-ordering has an emergent set of linear relations that, as checked at 4-point to 36-derivative order, are exactly the monodromy relations. The 4-point results depend on a delicate interplay between consistent factorization of 6-point BAS EFT amplitudes and the 6-point KK BCJ conditions. As a consequence of the analysis, the 4-point Z-theory tree amplitudes are bootstrapped up to a symmetric function in $s,t,u$ whose simple exponentiated form has free parameters that capture all the odd zeta values when matched to Z-theory.
