2014/06/30 by Benjamı́n Grinstein, Benjamin Grinstein, Andreas Stergiou +3 · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dimension (graph theory) #Euler's formula #Intuition #Mathematical analysis #Mathematical physics #Mathematics #Monotonic function #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Physics #Pure mathematics #Quantum mechanics #Spacetime #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevlett.113.231602
published as Phys. Rev. Lett. 113, 231602 (2014) · 4 pages. v2: Fixed typos, added references
openalex publication_date 2014/12/03 · arxiv created 2015/04/22 · arxiv updated 2015/04/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The possibility of a strong a theorem in six dimensions is examined in multiflavor ϕ3 theory. Contrary to the case in two and four dimensions, we find that, in perturbation theory, the relevant quantity a[over ˜] increases monotonically along flows away from the trivial fixed point. a[over ˜] is a natural extension of the coefficient a of the Euler term in the trace anomaly, and it arises in any even spacetime dimension from an analysis based on Weyl consistency conditions. We also obtain the anomalous dimensions and beta functions of multiflavor ϕ3 theory to two loops. Our results suggest that some new intuition about the a theorem is in order.