2003/03/14 by É. V. Gorbar, Eduard V. Gorbar, Ilya L. Shapiro · 5 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Curved space #Decoupling (probability) #Effective action #Fermion #Functional renormalization group #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum chromodynamics #Quantum electrodynamics #Renormalization #Renormalization group #Scalar (mathematics) #Supersymmetry #Theoretical physics #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1088/1126-6708/2003/06/004
published as JHEP 0306:004,2003 · 27 pages, 8 figures
arxiv created 2003/03/14 · openalex publication_date 2003/06/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We continue the study of the renormalization group and decoupling of massive fields in curved space, started in the previous article and analyse the higher derivative sector of the vacuum metric-dependent action of the Standard Model. The QCD sector at low-energies is described in terms of the composite effective fields. For fermions and scalars the massless limit shows perfect correspondence with the conformal anomaly, but similar limit in a massive vector case requires an extra compensating scalar. In all three cases the decoupling goes smoothly and monotonic. A particularly interesting case is the renormalization group flow in the theory with broken supersymmetry, where the sign of one of the beta-functions changes on the way from the UV to IR.