Towards a strong-coupling theory of QCD at finite density
Abstract
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.
Keywords
Cite
@article{arxiv.hep-lat/0209005,
title = {Towards a strong-coupling theory of QCD at finite density},
author = {B. Bringoltz and B. Svetitsky},
journal= {arXiv preprint arXiv:hep-lat/0209005},
year = {2009}
}
Comments
Lattice2002(nonzerot) - Parallel talk and poster presented at Lattice 2002, Cambridge, MA, USA, June 2002. 6 pages, 6 EPS figures