Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125, USA.
Institute of Particle and Nuclear Physics, Charles University, Prague 180 00, Czech Republic.
Phys Rev Lett. 2018 Jun 29;120(26):261602. doi: 10.1103/PhysRevLett.120.261602.
We present a bottom-up construction of vector effective field theories using the infrared structure of scattering amplitudes. Our results employ two distinct probes of soft kinematics: multiple soft limits and single soft limits after dimensional reduction applicable in four and general dimensions, respectively. Both approaches uniquely specify the Born-Infeld (BI) model as the only theory of vectors completely fixed by certain infrared conditions which generalize the Adler zero for pions. These soft properties imply new recursion relations for on-shell scattering amplitudes in BI theory and suggest the existence of a wider class of vector effective field theories.
我们提出了一种基于散射振幅的红外结构的向量有效场论的自下而上构造。我们的结果采用了两种不同的软动力学探针：多软极限和在分别适用于四维和一般维度的维度降低后的单软极限。这两种方法都将 Born-Infeld（BI）模型唯一确定为完全由某些红外条件固定的矢量理论，这些条件推广了对介子的 Adler 零点。这些软性质为 BI 理论中的在壳散射振幅提供了新的递归关系，并暗示了更广泛的一类向量有效场论的存在。
