The critical line from imaginary to real baryonic chemical potentials in two-color QCD

Details The critical line from imaginary to real baryonic chemical potentials in two-color QCD The critical line from imaginary to real baryonic chemical potentials in two-color QCD

2007-12-21

arxiv.org/abs/0712.3755v2

Phys.Rev.D77:051501,2008

Physics

High Energy Physics

High Energy Physics - Lattice

Replaced with the version accepted for publication as a Rapid Communication in Physical Review D1

Scientific paper

10.1103/PhysRevD.77.051501

The method of analytic continuation from imaginary to real chemical potentials $\mu$ is one of the few available techniques to study QCD at finite temperature and baryon density. One of its most appealing applications is the determination of the critical line for small $\mu$: we perform a direct test of the validity of the method in this case by studying two-color QCD, where the sign problem is absent. The (pseudo)critical line is found to be analytic around $\mu^2 = 0$, but a very large precision would be needed at imaginary $\mu$ to correctly predict the location of the critical line at real $\mu$.

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