Non-Perturbative Formulation of Time-Dependent String Solutions

Abstract

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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Cited by in corpus (11)

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• Kalb-Ramond backgrounds in ${\alpha }^{\prime }$-complete cosmology
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• Tachyon-Dilaton-induced Inflation as an alpha'-resummed String Background
• Space-time dimensionality from brane collisions
• Antisymmetric-Tensor and Electromagnetic effects in an alpha'-non-perturbative Four-Dimensional String Cosmology
• Non-renormalization for the Liouville wave function
• Non-Perturbative Formulation of Non-Critical String Models
• Tachyon - Dilaton driven Inflation as an alpha' - non-perturbative solution in First Quantized String Cosmology
• Path integral quantization of scalar fluctuations above a kink
• Dark Energy as an off-shell Tachyon Background in four-dimensional Strings