标题： 重子密度和膨胀手征夸克模型 显示英文标题

标题： Baryon Density and the Dilated Chiral Quark Model

摘要： 我们微扰地计算了密度对强子性质的影响，使用由QCD迹异常实现的手征夸克模型。 我们在一环阶次下利用热场动力学技术计算了组成夸克（$m_Q$）的质量、标量场（$m_{\chi}$）和π介子（$m_{\pi}$）的质量依赖于密度的情况。 在手征极限下，有限密度下π介子仍保持无质量。 发现 tadpole 类型的修正导致质量随着重子密度增加而减小，而辐射修正则除了被探测粒子能量很高时以外，会引入洛伦兹对称性破缺项。 我们在大$N_c$极限（大标量质量极限）下发现 tadpoles 占主导地位，平均场近似是可靠的，从而产生一个洛伦兹不变的拉格朗日量，其质量随着重子密度增加而减小。 显示英文摘要

摘要： We calculate perturbatively the effect of density on hadronic properties using the chiral quark model implemented by the QCD trace anomaly. We calculate the density dependent masses of the constituent quark ($m_Q$), the scalar field ($m_{\chi}$) and the pion ($m_{\pi}$) in one-loop order using the technique of thermo field dynamics. In the chiral limit, the pion remains massless at finite density. It is found that the tadpole type corrections lead to the decreasing masses with increasing baryon density, while the radiative corrections induce Lorentz-symmetry-breaking terms except when the particles probed is of high energy. We found in the large $N_c$ limit(large scalar mass limit) that tadpoles dominate and the mean-field approximation is reliable, giving rise a Lorentz-invariant Lagrangian with masses decreasing as the baryon density increases.