Operator bases, S-matrices, and their partition functions
Operator bases, S-matrices, and their partition functions
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DOI：
10.1007/jhep10(2017)199
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发表时间：
2017-06
影响因子：
5.4
通讯作者：
B. Henning;Xiaochuan Lu;Tom Melia;H. Murayama
中科院分区：
文献类型：
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作者：
B. Henning;Xiaochuan Lu;Tom Melia;H. Murayama
允许散射实验的相对论量子系统由有效场论定量描述，其中S矩阵运动学和对称性考虑被编码在EFT的算符谱中。本文利用S矩阵导出了EFT算子基的结构，在(I)利用共形代数和上同调的位置空间和(Ii)用理想运动学实现的动量环的代数形式的动量空间中提供了补充的描述。这些框架系统地处理与运动方程(壳层上)和按部分积分(动量守恒)相关的冗余。
Relativistic quantum systems that admit scattering experiments are quantitatively described by effective field theories, where S-matrix kinematics and symmetry considerations are encoded in the operator spectrum of the EFT. In this paper we use the S-matrix to derive the structure of the EFT operator basis, providing complementary descriptions in (i) position space utilizing the conformal algebra and cohomology and (ii) momentum space via an algebraic formulation in terms of a ring of momenta with kinematics implemented as an ideal. These frameworks systematically handle redundancies associated with equations of motion (on-shell) and integration by parts (momentum conservation).