论文标题
有效领域理论中的因果关系，单位性和对称性
Causality, Unitarity and Symmetry in Effective Field Theory
论文作者
论文摘要
有效领域理论中的总和规则，基于因果关系，对有效的接触相互作用介导的散射幅度的限制。通过$ s $ -matrix的单位性，这些意味着对不同状态之间过渡幅度的较高维度校正的大小受其对弹性向前散射过程的贡献的强度。这对假设对称性可以通过有效的相互作用打破的程度构成基本限制。所有分析均针对尺寸$ 8 $运算符在正向限制中。 Included is a thorough derivation of all positivity bounds for a chiral fermion in $SU(2)$ and $SU(3)$ global symmetry representations resembling those of the Standard Model, general bounds on flavour violation, new bounds for interactions between particles of different spin, inclusion of loops of dimension $6$ operators and illustration of the resulting strengthening of positivity bounds over tree-level expectations, a catalogue of supersymmetric有效的互动量达到质量尺寸$ 8 $和$ 4 $腿，超对称性的演示统一了阳性定理和新边界。
Sum rules in effective field theories, predicated upon causality, place restrictions on scattering amplitudes mediated by effective contact interactions. Through unitarity of the $S$-matrix, these imply that the size of higher dimensional corrections to transition amplitudes between different states is bounded by the strength of their contributions to elastic forward scattering processes. This places fundamental limits on the extent to which hypothetical symmetries can be broken by effective interactions. All analysis is for dimension $8$ operators in the forward limit. Included is a thorough derivation of all positivity bounds for a chiral fermion in $SU(2)$ and $SU(3)$ global symmetry representations resembling those of the Standard Model, general bounds on flavour violation, new bounds for interactions between particles of different spin, inclusion of loops of dimension $6$ operators and illustration of the resulting strengthening of positivity bounds over tree-level expectations, a catalogue of supersymmetric effective interactions up to mass dimension $8$ and $4$ legs and the demonstration that supersymmetry unifies the positivity theorems as well as the new bounds.
