LREE of a Dynamical Unstable D$p$-brane
High Energy Physics - Theory
2020-08-28 v1 High Energy Physics - Phenomenology
Abstract
We derive the left-right entanglement entropy (LREE) for a bosonic D-brane. This brane has tangential dynamics and has been dressed by a gauge potential, the Kalb-Ramond field and a tachyon field. For this purpose, the R\'{e}nyi entropy will be computed and then, by taking a special limit of it, the LREE will be obtained. Besides, the behavior of the LREE under the tachyon condensation process will be evaluated. In addition, after the transition of the system, i.e. the collapse of the unstable brane, the second law of the thermodynamics on the LREE will be checked. We find that preserving the second law imposes some conditions on the parameters of the setup.
Cite
@article{arxiv.2008.09587,
title = {LREE of a Dynamical Unstable D$p$-brane},
author = {Shirin Teymourtashlou and Davoud Kamani},
journal= {arXiv preprint arXiv:2008.09587},
year = {2020}
}
Comments
17 pages, Latex2e, no figure