We derive the expressions of the (isovector) vector and axial current
from a chiral Lagrangian restricted to nucleons and pions. We show tha
t in the heat bath certain terms call induce a mixing of the axial cur
rent into the vector one and vice versa. We generalize this concept to
the case of a dense baryonic medium. We study the subsequent modifica
tions of the axial nucleonic coupling constant and the pion decay one.
They arise from a two pion exchange current of a new type. We discuss
the link to the condensate evolution. The quenching of the axial coup
ling constant helps explaining the observed one of the Gamow-Teller su
m rule.