Non-Perturbative Formulation of Time-Dependent String Solutions
摘要
We formulate here a new world-sheet renormalization-group technique for the bosonic string, which is non-perturbative in the Regge slope alpha' and based on a functional method for controlling the quantum fluctuations, whose magnitudes are scaled by the value of alpha'. Using this technique we exhibit, in addition to the well-known linear-dilaton cosmology, a new, non-perturbative time-dependent background solution. Using the reparametrization invariance of the string S-matrix, we demonstrate that this solution is conformally invariant to alpha', and we give a heuristic inductive argument that conformal invariance can be maintained to all orders in alpha'. This new time-dependent string solution may be applicable to primordial cosmology or to the exit from linear-dilaton cosmology at large times.
引用
@article{arxiv.hep-th/0610072,
title = {Non-Perturbative Formulation of Time-Dependent String Solutions},
author = {Jean Alexandre and John Ellis and Nikolaos E. Mavromatos},
journal= {arXiv preprint arXiv:hep-th/0610072},
year = {2009}
}