Physical Scaling and Renormalization Group in Two-Dimensional Gravity

Abstract

Quantum gravitational effects on the renormalization group equation are studied in the $(2+\epsilon )$-dimensional approach. Divergences in a matter one-loop effective action do not receive gravitational radiative corrections. The renormalization factor for beta functions recently found by Klebanov, Kogan and Polyakov is obtained by using the renormalized cosmological constant to define the physical scale transformation.

13 pages, Imperial/TP/93-94/10, TIT/HEP-244

References in corpus (3)

• Scaling Exponents in Quantum Gravity near Two Dimensions
• Ultraviolet Stable Fixed Point and Scaling Relations in 2+$\epsilon$ Dimensional Quantum Gravity
• Exactly Marginal Operators and Running Coupling Constants in 2D Gravity

Cited by in corpus (14)

• On string cosmology and the RG flow in 2d field theory
• Conformal Invariance and Renormalization Group in Quantum Gravity Near Two Dimensions
• Two-loop Renormalization in Quantum Gravity near Two Dimensions
• On gravitational dressing of renormalization group beta-functions beyond lowest order of perturbation theory
• RG flow on random surfaces with handles and closed string field theory
• Gravitationally dresed RG flows and zig-zag invariant strings
• An Exact Solution to O(26) Sigma Model coupled to 2-D Gravity
• 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
• On scheme dependence of gravitational dressing of renormalization group functions
• Towards c=0 Flows
• CP^{N-1} models and the Quantized 2D Black Holes
• Gravitational Dressing of N=2 Sigma-Models Beyond Leading Order