2025/01/13 by Saha, Ashis, Chowdhury, Anirban Roy, Gangopadhyay, Sunandan
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2501.07091
The status of the inequality existing between mutual information and (normalized) thermal two-point connected correlation function, namely, I(A:B)≥\frac(\expvalOAOBβ-\expvalOAβ\expvalOBβ)22\expvalOA2β\expvalOB2β has been explicitly probed by using the gauge/gravity correspondence. In the holographic analysis, the geodesic approximation for heavy operators (Δ∼ mR) has been used. We observe that the study leads to some non-trivial insights depending upon the method of calculating the thermal object \expvalO2β. For a particular computed result of \expvalO2β we propose that all of the existing quantum mechanical dependencies (correlations) and classical correlations between the subsystems A and B vanishes at two different separation lengths, namely, sT|c and sT|I where sT|I>sT|c.