Non-Perturbative Formulation of Non-Critical String Models

Abstract

We apply to non-critical bosonic Liouville string models, characterized by a central-charge deficit Q, a new non-perturbative renormalization-group technique based on a functional method for controlling the quantum fluctuations. We demonstrate the existence of a renormalization-group fixed point of Liouville string theory as Q to 0, in which limit the target space-time is Minkowski and the dynamics of the Liouville field is trivial, as it neither propagates nor interacts. This calculation supports in a non-trival manner the identification of the zero mode of the Liouville field with the target time variable, up to a crucial minus sign.

16 pages latex, 2 eps figures

References in corpus (8)

• Liouville Cosmology at Zero and Finite Temperatures
• Functional Callan-Symanzik equation
• A string scenario for inflationary cosmology
• Vacuum Energy and Cosmological Supersymmetry Breaking in Brane Worlds
• Cosmological Evolution in a Type-0 String Theory
• Brany Liouville Inflation
• Non-Perturbative Formulation of Time-Dependent String Solutions
• The String Universe: High $T_c$ Superconductor or Quantum Hall Conductor?

Cited by in corpus (3)

• Cosmological solutions of supercritical string theory
• Tachyon-Dilaton-induced Inflation as an alpha'-resummed String Background
• Non-renormalization for the Liouville wave function