The QCD phase diagram for small densities from imaginary chemical potential

Details The QCD phase diagram for small densities from imaginary chemical potential The QCD phase diagram for small densities from imaginary chemical potential

2002-05-16

arxiv.org/abs/hep-lat/0205016v2

Nucl.Phys. B642 (2002) 290-306

Physics

High Energy Physics

High Energy Physics - Lattice

21 pages, 10 figures; minor changes; to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(02)00626-0

We present results on the QCD phase diagram for mu_B <= pi T. Our simulations are performed with an imaginary chemical potential mu_I for which the fermion determinant is positive. On an 8^3 x 4 lattice with 2 flavors of staggered quarks, we map out the phase diagram and identify the pseudo-critical temperature T_c(mu_I). For mu_I/T <= pi/3, this is an analytic function, whose Taylor expansion is found to converge rapidly, with truncation errors far smaller than statistical ones. The truncated series may then be continued to real mu, yielding the corresponding phase diagram for mu_B <~ 500 MeV. This approach provides control over systematics and avoids reweighting. We compare it with other recent work.

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