Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-05-16
Nucl.Phys. B642 (2002) 181-209
Physics
High Energy Physics
High Energy Physics - Lattice
42 pages revtex, 25 figures postscript
Scientific paper
10.1016/S0550-3213(02)00678-8
SU(2) lattice gauge theory with four flavors of quarks is simulated at nonzero chemical potential $\mu$ and temperature $T$ and the results are compared to the predictions of Effective Lagrangians. Simulations on $16^4$ lattices indicate that at zero $T$ the theory experiences a second order phase transition to a diquark condensate state. Several methods of analysis, including equation of state fits suggested by Chiral Perturbation Theory, suggest that mean-field scaling describes this critical point. Nonzero $T$ and $\mu$ are studied on $12^3 \times 6$ lattices. For low $T$, increasing $\mu$ takes the system through a line of second order phase transitions to a diquark condensed phase. Increasing $T$ at high $\mu$, the system passes through a line of first order transitions from the diquark phase to the quark-gluon plasma phase. Metastability is found in the vicinity of the first order line. There is a tricritical point along this line of transitions whose position is consistent with theoretical predictions.
Kogut John B.
Sinclair D. K.
Toublan Dominique
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