On three-dimensional trace anomaly from holographic local RG

Autor: Kikuchi, Ken, Hosoda, Hiroto, Suzuki, Akihiro
Rok vydání: 2016
Předmět:
Zdroj: Prog Theor Exp Phys (2017)
Druh dokumentu: Working Paper
DOI: 10.1093/ptep/ptw174
Popis: Odd-dimensional quantum field theories (QFTs) can have nonzero trace anomalies if external fields are introduced and some ingredients needed to make Lorentz scalars with appropriate mass dimensions (or weights) are supplied. We have studied a three-dimensional QFT and explicitly computed the trace of the stress tensor using the holographic local renormalization group (RG). We have checked some properties of vector beta functions and the Wess-Zumino consistency condition, however, found the anomalies vanish on fixed points. We clarify what is responsible for the vanishing trace anomalies.
Comment: 14 pages, v2: some comments and references added
Databáze: arXiv