2019/05/31 by Nikos Irges, Fotis Koutroulis
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Functional renormalization group #Geometry #Global symmetry #Invariant (physics) #Lorentz covariance #Lorentz transformation #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum gravity #Quantum mechanics #Renormalization #Renormalization group #Scalar (mathematics) #Scalar field #Scalar field theory #Spontaneous symmetry breaking #Symmetry (geometry) #Symmetry breaking #Symmetry group #Theoretical physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.100.065004
published as Phys. Rev. D 100, 065004 (2019) · published version
openalex created_date 2019/05/29 · arxiv created 2019/08/28 · openalex publication_date 2019/09/17 · arxiv updated 2019/09/25 · openalex updated_date 2026/08/05
We discuss the role of higher dimensional operators in the spontaneous breaking of internal symmetry and scale invariance, in the context of the Lorentz invariant scalar field theory. Using the ϵ-expansion we determine phase diagrams and demonstrate that (un)stable renormalization group flows computed with a certain basis of dimension 6 operators in the Lagrangian map to (un)stable renormalization group flows of another basis related to the first by field redefinitions. Crucial is the presence of reparametrization ghosts if Ostrogradsky ghosts appear.