Mc. Birse, WHAT DOES A CHANGE IN THE QUARK CONDENSATE SAY ABOUT RESTORATION OF CHIRAL-SYMMETRY IN MATTER, Physical review. C. Nuclear physics, 53(5), 1996, pp. 2048-2051
The contribution of nucleons to the quark condensate in nuclear matter
includes a piece of first order in m(pi), arising from the contributi
on of low-momentum virtual pions to the pi N sigma commutator. Chiral
symmetry requires that no term of this order appears in the NN interac
tion. The mass of a nucleon in matter thus cannot depend in any simple
way on the quark condensate alone. More generally, pieces of the quar
k condensate that arise from low-momentum pions should not be associat
ed with partial restoration of chiral symmetry.