2021/09/20 by Dániel Nógrádi, Nogradi, Daniel
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2109.09535
openalex publication_date 2021/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The most general local, classically scale invariant, perturbatively renormalizable, globally SU(N) invariant Lagrangian is constructed for spin-1 fields in 4 dimensions. The total number of independent couplings is 7 and the 1-loop β-functions are computed in the MSbar scheme. A number of asymptotically free RG flows are identified corresponding to non-trivial QFTs. None of these are gauge theories. The details of the large-N limit are also worked out and it is shown that the RG phase space is qualitatively similar for all N>5 including the N→∞ limit.