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Abstract: We investigate the pion weak decay constant F pi and pion mass m pi atfinite density within the framework of the nonlocal chiral quark model from theinstanton vacuum with the finite quark-number chemical potential mu takeninto account. We mainly focus on the Nambu-Goldstone phase below the criticalvalue of the chemical potential mu c ~ 320 MeV, which is determinedconsistently within the present framework. The breakdown of Lorentz invarianceat finite density being considered, the time F^t pi and space F^s picomponents are computed separately, and the corresponding results turn out tobe: F^t pi = 82.96 MeV and F^s pi = 80.29 MeV at mu c, respectively. Using thein-medium Gell-Mann-Oakes-Renner GOR relation, we show that the pion massincreases by about 15% at mu c.



Autor: Seung-il Nam, Hyun-Chul Kim

Fuente: https://arxiv.org/







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