Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-08-07
JHEP0811:012,2008
Physics
High Energy Physics
High Energy Physics - Lattice
15 pages, 8 figures. Published version, with additional cautionary statements, corrected typos, and updated last figure
Scientific paper
10.1088/1126-6708/2008/11/012
QCD with three degenerate quark flavours at zero baryon density exhibits a first order thermal phase transition for small quark masses, which changes to a smooth crossover for some critical quark mass m^c_0, i.e. the chiral critical point. It is generally believed that as an (even) function of quark chemical potential, m_c(mu), the critical point moves to larger quark masses, constituting the critical endpoint of a first order phase transition in theories with m\geq m^c_0. To test this, we consider a Taylor expansion of m_c(mu) around mu=0 and determine the first two coefficients from lattice simulations with staggered fermions on N_t=4 lattices. We employ two different techniques: a) calculating the coefficients directly from a mu=0 ensemble using a novel finite difference method, and b) fitting them to simulation data obtained for imaginary chemical potentials. The mu^2 and mu^4 coefficients are found to be negative by both methods, with consistent absolute values. Combining both methods gives evidence that also the mu^6 coefficient is negative. Hence, on coarse N_t=4 lattices a three-flavour theory with m > m^c_0 does not possess a chiral critical endpoint for quark chemical potentials mu\lsim T. Simulations on finer lattices are required for reliable continuum physics. Possible implications for the QCD phase diagram are discussed.
Forcrand Philippe de
Philipsen Owe
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