Abstract

We present the results for the transition temperature of quantumchromodynamics (QCD) with two degenerate flavours (Nf = 2) ofWilson quarks. On lattice 83×4 with 4 representing thetemporal extent, by using the Ferrenberg–Swendsen reweightingmethod, we determine the critical β = 6/g2 where thetransition occurs, g is the coupling constant. On lattice82×20×4, by using the axial vector Ward–Takahashiidentity, we calculate the current quark mass amq, a is thelattice spacing. Assuming the O(4) scaling, the critical βin the chiral limit is determined. We calculate the ρ mesonmass amρ at zero temperature on lattice 83×20. Byusing the experimental ρ meson mass to set the scale, weobtain 194(1) MeV for the transition temperature in the chiral limit.

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