One-loop beta functions in topologically massive gravity

Abstract

We calculate the running of the three coupling constants in cosmological, topologically massive 3D gravity. We find that ν, the dimensionless coefficient of the Chern–Simons term, has a vanishing beta function. The flow of the cosmological constant and Newton's constant depends on ν, and for any positive ν there exist both a trivial and a nontrivial fixed point.