Quantum Cosmology Aspects Of D3 Branes and Tachyon Dynamics

TL;DR

This paper explores quantum cosmology within string theory frameworks, analyzing the Wheeler-DeWitt equation for D3 branes and tachyon dynamics, and constructing time-dependent formulations for moduli fields.

Contribution

It introduces a detailed minisuperspace analysis of rolling tachyons with non-minimal gravity couplings and derives wave functions for the system's dynamical degrees of freedom.

Findings

Wave functions for all degrees of freedom obtained.

Time-dependent Wheeler-DeWitt equations constructed for moduli fields.

Enhanced understanding of tachyon dynamics in quantum cosmology.

Abstract

We investigate aspects of quantum cosmology in relation to string cosmology systems that are described in terms of the Dirac-Born-Infeld action. Using the Silverstein-Tong model, we analyze the Wheeler-DeWitt equation for the rolling scalar and gravity as well for $R\times{S^3}$ universe, by obtaining the wave functions for all dynamical degrees of freedom of the system. We show, that in some cases one can construct a time dependent version of the Wheeler-DeWitt (WDW) equation for the moduli field $\phi$. We also explore in detail the minisuperspace description of the rolling tachyon when non-minimal gravity tachyon couplings are inserted into the tachyon action.