2015/10/21 by Sinclair, D. K., Kogut, J. B. · 1 citation
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat)
paper · doi:10.48550/arxiv.1510.06367
QCD at non-zero chemical potential (μ) for quark number has a complex fermion determinant and thus standard simulation methods for lattice QCD cannot be applied. We therefore simulate this theory using the Complex-Langevin algorithm with Gauge Cooling in addition to adaptive methods, to prevent runaway behaviour. Simulations are performed at zero temperature on a 124 lattice with 2 quarks which are light enough that mN/3 is significantly larger than mπ/2. Preliminary results are qualitatively as expected. The quark-number density is close to zero for μ< mN/3, beyond which it increases, eventually reaching its saturation value of 3 for μ sufficiently large. The chiral condensate decreases as μ is increased approaching zero at saturation, while the plaquette increases towards its quenched value. We have yet to observe the transition to nuclear matter at μ≈ mN/3, presumably because the runs for μ between mN/3 and saturation have yet to equilibrate.