Along the Roberge-Weiss line in 2+1+1 flavor QCD, the topological charge cumulant b2 becomes compatible with the dilute instanton gas value as soon as T exceeds T_RW, like in pure gauge theory.
Topological susceptibility of SU(N) gauge theories at finite temperature
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abstract
We investigate the large-N behavior of the topological susceptibility in four-dimensional SU(N) gauge theories at finite temperature, and in particular across the finite-temperature transition at Tc. For this purpose, we consider the lattice formulation of the SU(N) gauge theories and perform Monte Carlo simulations for N=4,6. The results indicate that the topological susceptibility has a nonvanishing large-N limit for T<Tc, as at T=0, and that the topological properties remain substantially unchanged in the low-temperature phase. On the other hand, above the deconfinement phase transition, the topological susceptibility shows a large suppression. The comparison between the data for N=4 and N=6 hints at a vanishing large-N limit for T>Tc.
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Topological properties around the Roberge-Weiss transition in $N_f = 2 + 1 + 1$ QCD
Along the Roberge-Weiss line in 2+1+1 flavor QCD, the topological charge cumulant b2 becomes compatible with the dilute instanton gas value as soon as T exceeds T_RW, like in pure gauge theory.