Non-Perturbative Formulation of Time-Dependent String Solutions

Details Non-Perturbative Formulation of Time-Dependent String Solutions Non-Perturbative Formulation of Time-Dependent String Solutions

2006-10-06

arxiv.org/abs/hep-th/0610072v1

JHEP 0612:071,2006

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1088/1126-6708/2006/12/071

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.

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