Pion weak decay constant at finite density from the instanton vacuum
| dc.creator | Nam, Seung-il | |
| dc.creator | Kim, Hyun-Chul | |
| dc.date | 2008-05-01 | |
| dc.date | 2008-07-18 | |
| dc.date.accessioned | 2026-07-07T11:50:26Z | |
| dc.date.available | 2026-07-07T11:50:26Z | |
| dc.description | 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. | |
| dc.description | 12 pages, 4 figures, accepted for publicaion in Phys.Lett.B | |
| dc.identifier | https://arxiv.org/abs/0805.0060 | |
| dc.identifier | http://arxiv.org/abs/0805.0060 | |
| dc.identifier | Phys.Lett.B666:324-331,2008 | |
| dc.identifier | doi:10.1016/j.physletb.2008.07.058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/203561 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Pion weak decay constant at finite density from the instanton vacuum | |
| dc.type | text |