Bell violation in \(2 \rightarrow 2\) scattering in photon, gluon and graviton EFTs

DOI10.1007/JHEP08(2023)146arXiv2303.03375MaRDI QIDQ6074185

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Publication date: 12 October 2023

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Abstract: In this paper, we explore Bell inequality violation for $2ightarrow2$ 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 $2ightarrow2$ scattering can, in principle, be used to classify CP conserving vs violating theories.

Full work available at URL: https://arxiv.org/abs/2303.03375

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