Chiral limit of 2-color QCD at strong couplings
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We study two-color lattice QCD with massless staggered fermions in the strong coupling limit using a new and efficient cluster algorithm. We focus on the phase diagram of the model as a function of temperature $T$ and baryon chemical potential $μ$ by working on $L_t \times L^d$ lattices in both $d=2,3$. In $d=3$ we find that at $μ=0$ the ground state of the system breaks the global U(2) symmetry present in the model to U(1), while the finite temperature phase transition (with $L_t=4$) which restores the symmetry is a weak first order transition. In $d=2$ we find evidence for a novel phase transition similar to the Berezinky-Kosterlitz-Thouless phenomena. On the other hand the quantum (T=0) phase transition to a symmetric phase as a function of $μ$ is second order in both $d=2,3$ and belongs to the mean field universality class.
12 pages, Contribution to LATTICE 2005 (Non-zero temperature and density)
12 pages, Contribution to LATTICE 2005 (Non-zero temperature and density)