Gursoy, U., Kharzeev, D.E., & Pedraza, J.F. (2024). Universal rapidity scaling of entanglement entropy inside hadrons from conformal invariance. arXiv preprint, arXiv:2306.16145v2 [hep-th].
This paper investigates the scaling behavior of entanglement entropy inside hadrons at high energies, aiming to demonstrate that the linear dependence on rapidity, previously established within the framework of parton models, is a universal feature arising from approximate conformal invariance.
The authors employ an effective conformal field theory (CFT) description of hadrons on the light cone, leveraging the state-operator map and the properties of conformal primaries to calculate the entanglement entropy for excited states. They analyze both the vacuum and perturbed states, considering the impact of finite energy excitations and conformal symmetry breaking.
The study provides strong evidence for the universality of the linear rapidity scaling of entanglement entropy in hadrons, suggesting that this phenomenon is deeply rooted in the underlying conformal symmetry of the system. This result strengthens the connection between string theory and hadron physics, opening up new avenues for exploring hadron structure and dynamics using the tools of conformal field theory.
This research significantly advances our understanding of entanglement entropy in hadrons, moving beyond the limitations of parton models and establishing a more fundamental basis for this phenomenon. It highlights the potential of conformal invariance as a powerful tool for studying hadron physics and suggests new directions for investigating the relationship between string theory and QCD.
The study primarily focuses on the leading-order behavior of entanglement entropy. Further research could explore the subleading corrections to the scaling law, which could reveal valuable information about the specific string theory and the characteristics of different hadronic states. Investigating the impact of deviations from conformal invariance, either through more general states or relevant operator deformations, would also be a fruitful avenue for future work.
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