| Title: |
A holographic understanding of correlation and information |
| Authors: |
Saha, Ashis, Chowdhury, Anirban Roy, Gangopadhyay, Sunandan |
| Publication Year: |
2025 |
| Collection: |
High Energy Physics - Theory |
| Subject Terms: |
High Energy Physics - Theory |
| More Details: |
The status of the two-point connected correlator is holographically probed by using the well-known prescription of holographic mutual information. In particular, we calculate the two-point connected correlator for a specific bulk spacetime geometry which was not done explicitly earlier. We then carefully study the inequality between the mutual information and the two-point connected correlator, namely, $I(A:B)\ge\frac{(\expval{\mathcal{O}_{A}\mathcal{O}_{B}}-\expval{\mathcal{O}_{A}}\expval{\mathcal{O}_{B}})^2}{2\expval{\mathcal{O}_{A}^2}\expval{\mathcal{O}_{B}^2}}$. We observe that by considering the standard set up of two strip-like subsystems which are separated by a distance, one can show that there exists two critical separation distances, namely, $sT|_c$ and $sT|_I$ depicting the vanishing of quantum dependencies and classical dependencies between the subsystems respectively. We also make a proposal in this context.
Comment: 7 pages LaTex and 2 figures, comments are welcome |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2501.07091 |
| Accession Number: |
edsarx.2501.07091 |
| Database: |
arXiv |
