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Quantum correlation in quark–gluon medium

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Abstract

We study the thermodynamics and quantum correlations of the string cloud geometry whose field theory dual is the quark–gluon medium. We found the novel universality of the entanglement entropy first law in the high quark density limit. We also showed that a correlation function generally decreases as the entanglement entropy of the background medium increases due to the screening effect of the background. We study the UV and IR effects of the medium on phase transition behaviour observed in the holographic mutual information using both perturbative and numerical computations. Moreover, by numerical computation, we show that in the IR region the critical length obtained from the mutual information behaves similar to the correlation length of the two-point function.

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Notes

  1. Here, to define the critical length \(l_\mathrm{{c}}\) we only consider the result (33) up to the second order \({{\mathcal {O}}}(l^2)\).

  2. Notice that the the renormalized IR entanglement entropy is independent on the UV cut-off. For a zero string density limit the two-point function (42) reproduces the result (3.34) in [57] exactly.

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Acknowledgements

C. Park was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (no. NRF-2019R1A2C1006639). J. H. Lee was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (no. NRF-2021R1C1C2008737).

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Authors and Affiliations

  1. Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju, 61005, Korea

    Chanyong Park

  2. College of General Education, Kookmin University, Seoul, 02707, Korea

    Jung Hun Lee

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  1. Chanyong Park
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Correspondence to Jung Hun Lee.

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Park, C., Lee, J.H. Quantum correlation in quark–gluon medium. J. Korean Phys. Soc. 82, 1–11 (2023). https://doi.org/10.1007/s40042-022-00669-7

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