论文标题
从树上到循环的仿生理论i：landau奇异性及其统一系数
From tree- to loop-simplicity in affine Toda theories I: Landau singularities and their subleading coefficients
论文作者
论文摘要
详细分析了简单的仿射TODA场理论的S矩阵中出现的均匀顺序杆的各种特征。特别是，围绕S-Matrix的劳伦（Lourent）膨胀的一阶和二阶奇异性系数围绕一般的$ 2N^{\ rm th} $订单极点使用一个环上的扰动理论以通用方式得出。我们展示了如何切割有助于杆的环图，以依赖于环路几何形状的树级图的特定产物；通过这种方式，我们恢复了利用该理论的树级可合价属性周围的laurent膨胀系数。该分析与所考虑的特定简单的理论无关，所有结果都与ADE系列理论的猜想的自举s-膜中获得的结果一致。
Various features of the even order poles appearing in the S-matrices of simply-laced affine Toda field theories are analysed in some detail. In particular, the coefficients of first- and second-order singularities appearing in the Laurent expansion of the S-matrix around a general $2N^{\rm th}$ order pole are derived in a universal way using perturbation theory at one loop. We show how to cut loop diagrams contributing to the pole into particular products of tree-level graphs that depend on the on-shell geometry of the loop; in this way, we recover the coefficients of the Laurent expansion around the pole exploiting tree-level integrability properties of the theory. The analysis is independent of the particular simply-laced theory considered, and all the results agree with those obtained in the conjectured bootstrapped S-matrices of the ADE series of theories.
