On gravitational dressing of renormalization group beta-functions beyond lowest order of perturbation theory

Abstract

Based on considerations in conformal gauge I derive up to nextleading order a relation between the coefficients of beta-functions in 2D renormalizable field theories before and after coupling to gravity. The result implies a coupling constant dependence of the ratio of both beta-functions beyond leading order.

DESY 94-?, HU Berlin-IEP-94/21, 9 pages, Latex

References in corpus (5)

• Gravitational Dressing of Renormalization Group
• On string cosmology and the RG flow in 2d field theory
• Exactly Marginal Operators and Running Coupling Constants in 2D Gravity
• Physical Scaling and Renormalization Group in Two-Dimensional Gravity
• Analysis of All Dimensionful Parameters Relevant in Gravitational Dressing of Conformal Theories

Cited by in corpus (8)

• Quantum-Gravitational Diffusion and Stochastic Fluctuations in the Velocity of Light
• Quantum Liouville Field Theory as Solution of a Flow Equation
• RG flow on random surfaces with handles and closed string field theory
• Gravitationally dresed RG flows and zig-zag invariant strings
• Supergravity dressing of beta-functions in N=1 and N=2 supersymmetric models
• Renormalization Group Flows in Sigma--Models Coupled to Two--Dimensional Dynamical Gravity
• Gravitational action for a massive Majorana fermion in 2d quantum gravity
• Gravitational Dressing of N=2 Sigma-Models Beyond Leading Order