2016/04/30 by Gergely Markó, Urko Reinosa, Zs. Szép +1
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry #Infrared #Mathematical physics #Mathematics #Physics #Quantum mechanics #Renormalization #Scalar (mathematics) #Scale (ratio) #Spectroscopy and Quantum Chemical Studies #Symmetry (geometry) #Theoretical physics #Ultraviolet #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2016.09.022
published as Nucl.Phys. B913: 405-424, 2016 · 20 pages, 7 figures, uses elsarticle, published version
openalex created_date 2016/06/24 · openalex publication_date 2016/10/05 · arxiv created 2016/11/22 · arxiv updated 2016/11/23 · openalex updated_date 2026/08/05
We consider the two-loop Φ-derivable approximation for the O ( 2 ) -symmetric scalar model, augmented by the symmetry improvement introduced in Pilaftsis and Teresi (2013) [9] , which enforces Goldstone's theorem in the broken phase. Although the corresponding equations admit a solution in the presence of a large enough infrared (IR) regulating scale, we argue that, for smooth ultraviolet (UV) regulators, the solution is lost when the IR scale becomes small enough. Infrared regular solutions exist for certain non-analytic UV regulators, but we argue that these solutions are artifacts which should disappear when the sensitivity to the UV regulator is removed by a renormalization procedure. The loss of solution is observed both at zero and at finite temperature, although it is simpler to identify in the latter case. We also comment on possible ways to cure this problem.