Towards a strong-coupling theory of QCD at finite density

✍ Scribed by B. Bringoltz; B. Svetitsky

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 432 KB
• Volume: 119
• Category: Article
• ISSN: 0920-5632
• DOI: 10.1016/s0920-5632(03)01622-0

✦ Synopsis

We apply strong-coupling perturbation theory to the QCD lattice Hamiltonian. We begin with naive, nearestneighbor 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-lr, 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,, NJ 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 (ng, T) plane.