TY - JOUR

T1 - Towards a strong-coupling theory of QCD at finite density

AU - Bringoltz, B.

AU - Svetitsky, B.

PY - 2003/5

Y1 - 2003/5

N2 - 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-neighb or 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-Tc 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 Nc, Nf 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 (nB, T) plane.

AB - 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-neighb or 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-Tc 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 Nc, Nf 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 (nB, T) plane.

UR - http://www.scopus.com/inward/record.url?scp=0038625114&partnerID=8YFLogxK

U2 - 10.1016/S0920-5632(03)01622-0

DO - 10.1016/S0920-5632(03)01622-0

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AN - SCOPUS:0038625114

SN - 0920-5632

VL - 119

SP - 565

EP - 570

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -