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The chiral symmetry of QCD with two massless quark flavours gets restored ina non-analytic chiral phase transition at finite temperature and zero density.Whether this is a first-order or a second-order transition has not yet beendetermined unambiguously, due to the difficulties of simulating light quarks.We investigate the nature of the chiral transition as a function of quark massand imaginary chemical potential, using staggered fermions on N_t=4 lattices.At sufficiently large imaginary chemical potential, a clear signal for afirst-order transition is obtained for small masses, which weakens withdecreasing imaginary chemical potential. The second-order critical linem_c(mu_i), which marks the boundary between first-order and crossoverbehaviour, extrapolates to a finite m_c(mu_i=0) with known critical exponents.This implies a definitely first-order transition in the chiral limit onrelatively coarse, N_t=4 lattices.

The chiral phase transition for two-flavour QCD at imaginary and zero chemical potential