标题： 向有限密度QCD的强耦合理论发展 显示英文标题

标题： Towards a strong-coupling theory of QCD at finite density

摘要： 我们应用强耦合微扰理论到QCD格点哈密顿量上。 我们从简单的最近邻费米子开始，随后通过次近邻项打破双重性对称性。 有效哈密顿量是具有额外重子“杂质”动能项的反铁磁体，类似于高温超导体的t-J模型。 作为第一步，我们固定重子的位置并使其静止。 根据t-J模型的分析，我们应用大-N方法在零温度和重子密度下获得(N_c,N_f)平面上的相图。 接下来我们研究一个简化的U(3)玩具模型，在其中我们将重子加入真空。 我们使用相干态形式写出路径积分，通过平均场理论进行分析，得到(n_B,T)平面上的相图。 显示英文摘要

摘要： We apply strong-coupling perturbation theory to the QCD lattice Hamiltonian. We begin with naive, nearest-neighbor fermions and subsequently break the doubling symmetry with next-nearest-neighbor terms. The effective Hamiltonian is that of an antiferromagnet with an added kinetic term for baryonic "impurities," reminiscent of the t-J model of high-T_c superconductivity. As a first step, we fix the locations of the baryons and make them static. Following analyses of the t-J model, we apply large-N methods to obtain a phase diagram in the (N_c,N_f) plane at zero temperature and baryon density. Next we study a simplified U(3) toy model, in which we add baryons to the vacuum. We use a coherent state formalism to write a path integral which we analyze with mean field theory, obtaining a phase diagram in the (n_B,T) plane.