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.
Critical line from imaginary to real baryonic chemical potentials in two-color QCD.
D'ELIA, MASSIMO;
2008-01-01
Abstract
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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