Loss of solution in the symmetry improved Φ-derivable expansion scheme - Archive ouverte HAL
Article Dans Une Revue Nuclear Physics B Année : 2016

Loss of solution in the symmetry improved Φ-derivable expansion scheme

Gergely Markó
  • Fonction : Auteur
Zsolt Szép
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-01553899 , version 1 (03-07-2017)

Identifiants

Citer

Gergely Markó, Urko Reinosa, Zsolt Szép. Loss of solution in the symmetry improved Φ-derivable expansion scheme. Nuclear Physics B, 2016, 913, pp.405-424. ⟨10.1016/j.nuclphysb.2016.09.022⟩. ⟨hal-01553899⟩
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