Small parameters in infrared QCD: The pion decay constant
| Autor: | Marcela Peláez, Urko Reinosa, Julien Serreau, Nicolás Wschebor |
|---|---|
| Přispěvatelé: | HEP, INSPIRE, Centre de Physique Théorique [Palaiseau] (CPHT), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), AstroParticule et Cosmologie (APC (UMR_7164)), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Observatoire de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité) |
| Rok vydání: | 2023 |
| Předmět: |
High Energy Physics - Theory
higher-order pi FOS: Physical sciences symmetry breaking low quark High Energy Physics - Phenomenology (hep-ph) quantum chromodynamics tree approximation constituent lattice Landau gauge [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] effective Lagrangian deformation gluon chiral [PHYS.HPHE] Physics [physics]/High Energy Physics - Phenomenology [hep-ph] High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) resummation [PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph] infrared mass [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th] propagator decay constant energy |
| Zdroj: | Physical Review Phys.Rev.D Phys.Rev.D, 2023, 107 (5), pp.054025. ⟨10.1103/PhysRevD.107.054025⟩ |
| ISSN: | 2470-0029 2470-0010 |
| Popis: | We continue our investigation of the QCD dynamics in terms of the Curci-Ferrari effective Lagrangian, a deformation of the Faddeev-Popov one in the Landau gauge with a tree-level gluon mass term. In a previous work we have studied the dynamics of chiral symmetry breaking at the level of the quark propagator and, in particular, the dynamical generation of a constituent quark mass. In the present article, we study the associated Goldstone mode, the pion, and we compute the pion decay constant in the chiral limit. Our approach exploits the fact that the coupling (defined in the Taylor scheme) in the pure gauge sector is perturbative, as observed in lattice simulations which, together with a $1/N_c$-expansion, allows for a systematic, controllable approximation scheme in the low energy regime of QCD. At leading order, this leads to the well-known rainbow-ladder resummation. We study the region of parameter space of the model that gives physical values of the pion decay constant. This allows one to constrain the gluon mass parameter as a function of the coupling using a physically measured quantity. Comment: 21 pages, 11 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|