1999/08/31 by Damiano Anselmi, D. Anselmi · 1 citation
Mathematics · Physics and Astronomy · #Anomaly (physics) #Black Holes and Theoretical Physics #Class (philosophy) #Conformal anomaly #Conformal gravity #Conformal map #Cosmology and Gravitation Theories #Dimension (graph theory) #Navier-Stokes equation solutions #Scalar (mathematics) #Scalar field #TRACE (psycholinguistics) #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1016/s0370-2693(00)00135-0
published as Phys.Lett. B476 (2000) 182-187 · 9 pages
arxiv created 1999/12/21 · openalex publication_date 2000/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
I identify the class of even-dimensional conformal field theories that is most similar to two-dimensional conformal field theory. In this class the formula, elaborated recently, for the irreversibility of the renormalization-group flow applies also to massive flows. This implies a prediction for the ratio between the coefficient of the Euler density in the trace anomaly (charge a) and the stress-tensor two-point function (charge c). More precisely, the trace anomaly in external gravity is quadratic in the Ricci tensor and the Ricci scalar and contains a unique central charge. I check the prediction in detail in four, six and eight dimensions, and then in arbitrary even dimension.