真正三方纠缠选择规范不变理论
Genuine Tripartite Entanglement Selects Gauge-Invariant Theories
AI总结：
该研究将极值纠缠的方法扩展至三方系统，发现真正三方纠缠可唯一识别胶子与引力子散射中对应规范不变、微分同胚不变的理论。
AI中文摘要：
近期研究探讨了是否可通过极值化二方纠缠熵来选择物理常数与对称性。我们将此方法扩展至三方情形，具体考虑2+1粒子系统：粒子B与C初始处于纠缠态，随后粒子A与B发生散射，粒子C不直接参与散射过程，研究涵盖胶子-胶子散射与引力子-引力子散射两种情况。我们围绕前向与后向散射极限进行角向展开，分析A与B构成的二粒子系统中的二方纠缠，以及三方系统中真正三方纠缠（GTE）的两种度量——并发填充度与广义几何度量（GGM）。如已有的结论所示，二方纠缠无法为选择对称性守恒理论提供普适判据：依据初始螺旋度的不同，它既可能最大化也可能最小化纠缠熵。相比之下，我们发现基于GTE的分析可唯一确定：胶子-胶子散射中，规范不变理论会抑制GTE；引力子-引力子散射中，微分同胚不变理论会抑制GTE。该结果表明三方纠缠与基本相互作用的规范及微分同胚对称性之间存在非平凡关联。
英文摘要：
Recent studies have explored whether physical constants and symmetries can be selected by extremizing bipartite entanglement entropy. We extend this approach to a three-particle setting. Specifically, we consider a $2+1$-particle system in which particles $B$ and $C$ are initially entangled, and then particles $A$ and $B$ scatter without the direct participation of particle $C$ for both gluon-gluon and graviton-graviton scatterings. Using angular expansions around the forward and backward scattering limits, we analyze bipartite entanglement in the corresponding two-particle system of $A$ and $B$ and two measures of genuine tripartite entanglement (GTE), the concurrence fill and the generalized geometric measure (GGM), in the three-particle system. As is already known, the bipartite entanglement provides no universal criterion for selecting the symmetry-preserving theory: depending on the initial helicities, it may either maximize or minimize the entanglement entropy. By contrast, we find that the GTE-based analysis uniquely identifies the gauge-invariant and diffeomorphism-invariant theories as those that suppress the GTE in gluon-gluon and graviton-graviton scatterings, respectively. This result suggests a nontrivial connection between tripartite entanglement and the gauge and diffeomorphism symmetries of fundamental interactions.
