Time dependent field correlators from holographic EPR pairs
Abstract
We study the correlators of the fields that couple to the quark and antiquark EPR pair in the super YangMills theory using the holographic description, which is a string in AdS space with its two ends anchoring on the boundaries. We consider the cases that the endpoints of the string are static and that the endpoints are uniformly accelerated in opposite directions where the exact solutions for the string's profiles are available. In both cases, the twopoint correlators of the boundary field, described by the linearized perturbations in the worldsheet, can also be derived exactly where we obtain the alltime evolution of the correlators. In the case of the accelerating string, the induced geometry on the string worldsheet has the causal structure of a twosided AdS black hole with a wormhole connecting two causally disconnected boundaries, which can be a realization of the ER=EPR conjecture. We find that causality plays a crucial role in determining the nature of the dispersion relation of the particle and the feature of the induced mutual interaction between two particles from the field. In the case that two boundaries of the worldsheet are causally disconnected, the induced effect from the field gives the dissipative dynamics of each particle with no dependence on the distance between two particles, and the induced mutual coupling between them vanishes in the late times, following a power law. When two ends are causally connected, the induced dispersion relation becomes nondissipative in the late times. Here, we will also comment on the implications of our findings to the entangled particle dynamics and the ER=EPR conjecture.
 Publication:

Journal of High Energy Physics
 Pub Date:
 August 2022
 DOI:
 10.1007/JHEP08(2022)099
 arXiv:
 arXiv:2204.07695
 Bibcode:
 2022JHEP...08..099K
 Keywords:

 AdSCFT Correspondence;
 Black Holes in String Theory;
 GaugeGravity Correspondence;
 NonEquilibrium Field Theory;
 High Energy Physics  Theory
 EPrint:
 published version (v2)