Pion weak decay constant at finite density from the instanton vacuum

Abstract

We investigate the pion weak decay constant (F_pi) and pion mass (m_pi) at finite density within the framework of the nonlocal chiral quark model from the instanton vacuum with the finite quark-number chemical potential (mu) taken into account. We mainly focus on the Nambu-Goldstone phase below the critical value of the chemical potential mu_c ~ 320 MeV, which is determined consistently within the present framework. The breakdown of Lorentz invariance at finite density being considered, the time (F^t_pi) and space (F^s_pi) components are computed separately, and the corresponding results turn out to be: F^t_pi = 82.96 MeV and F^s_pi = 80.29 MeV at mu_c, respectively. Using the in-medium Gell-Mann-Oakes-Renner (GOR) relation, we show that the pion mass increases by about 15% at mu_c.

12 pages, 4 figures, accepted for publicaion in Phys.Lett.B

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• Shear viscosity of quark matter at finite temperature in magnetic fields
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• Chiral restoration at finite T under the magnetic field with the meson-loop corrections
• In-medium properties of the light and heavy-light mesons in a light-front quark model
• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• QCD magnetic susceptibility at finite temperature beyond the chiral limit
• Does nuclear medium affect the transverse momentum-dependent parton distributions of valence quark of pions?
• Extended nonlocal chiral-quark model for the D- and B-meson weak-decay constants
• The Calculation of $f_{\pi }$ and $m_{\pi }$ at Finite Chemical Potential
• Impact of isospin asymmetric nuclear medium on pseudoscalar and vector $B$ mesons
• Pion properties at finite density