光子、胶子和引力子EFTs中$2\rightarrow 2$散射的Bell破坏
Bell violation in $2\rightarrow 2$ scattering in photon, gluon and graviton EFTs
摘要：
本文研究了光子、胶子和引力子的有效场论（EFT）中$2\rightarrow2$散射的贝尔不等式式破坏。使用CGLMP Bell参数（$I_2$），我们证明了，从适当的初始非乘积状态开始，贝尔不等式总是可以在最终状态（即，$I_2 >2$）至少对于某个散射角。对于一个初始的产品状态，我们证明了阿贝尔规范理论的行为定性不同于非阿贝尔规范理论（或重力）的贝尔违反的观点在最后的状态：在非阿贝尔的情况下，贝尔违反（$I_2>2$）是永远不可能的EFT的有效性弱耦合UV完成。有趣的是，我们还发现，对于一个最大纠缠的初始状态，散射可以减少的纠缠度，只有CP破坏理论。因此，原则上，$2\rightarrow2$散射中的贝尔破坏可以用来区分CP守恒理论和破坏理论。
英文摘要：
In this paper, we explore Bell inequality violation for $2\rightarrow2$ scattering in Effective Field Theories (EFTs) of photons, gluons, and gravitons. Using the CGLMP Bell parameter ($I_2$), we show that, starting from an appropriate initial non-product state, the Bell inequality can always be violated in the final state (i.e.,$I_2 >2$) at least for some scattering angle. For an initial product state, we demonstrate that abelian gauge theories behave qualitatively differently than non-abelian gauge theories (or Gravity) from the point of view of Bell violation in the final state: in the non-abelian case, Bell violation ($I_2>2$) is never possible within the validity of EFTs for weakly coupled UV completions. Interestingly, we also find that, for a maximally entangled initial state, scattering can reduce the degree of entanglement only for CP-violating theories. Thus Bell violation in $2\rightarrow2$ scattering can, in principle, be used to classify CP conserving vs violating theories.
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