Abstract
We present the discussions on the hadron properties in the dense medium using the dilated chiral quark model which incorporates the QCD scale anomaly in the effective Lagrangian. Assuming that the dilaton limit is applicable at some short length scale, we interpret the results to represent the behavior of hadrons in dense and hot matter. We obtain the scaling law, (fπ(T))/(fπ)=(m_Q(T))/(m_Q)≃(m_σ(T))/(m_σ). It is also suggested that the hadron masses and the pion decay constant drop faster with temperature than in the conventional linear sigma model. We attribute the difference in scaling in heat bath to the effect of baryonic medium on thermal properties of the hadrons. Starting from the dilated chiral quark model defined in free space, we calculate the density dependent masses. We found that in the large N_C limit (and large scalar mass limit), the tadpoles dominate and hence the mean-field approximation is reliable, giving rise to a Lorentz-invariant Lagrangian. This is consistent with the tendency toward the dilatonic limit at large density.
