Título:
Small parameters in infrared QCD: The pion decay constant.
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Autor:
Peláez, Marcela
Reinosa, Urko
Serreau, Julien
Wschebor, Nicolás
Reinosa, Urko
Serreau, Julien
Wschebor, Nicolás
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Tipo de documento:
Preprint
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Palabras clave:
Quantum chromodynamics
Infrared correlation functions
Spontaneous chiral symmetry breaking
Infrared correlation functions
Spontaneous chiral symmetry breaking
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Año de publicación:
2022
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Resumen:
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/𝑁𝑐-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.
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Physical Review D 107 (2023) 5, 054025.
Financiadores:
Fondo Clemente Estable de la ANII. FCE_1_2021_1_166479.
Citación:
Peláez, M., Reinosa, U., Serreau, J. y otros. Small parameters in infrared QCD: The pion decay constant. [Preprint]. Publicado en: Physical Review D 107 (2023) 5, 054025. DOI: 10.1103/PhysRevD.107.054025.
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https://hdl.handle.net/20.500.12008/44891
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Licencia Creative Commons Atribución - No Comercial - Sin Derivadas (CC - By-NC-ND 4.0)
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| Ficheros | Descripción | Tamaño | Formato | ||
|---|---|---|---|---|---|
| PRSW22.pdf | Preprint | 1.02 MB | Adobe PDF |