We investigate the dependence of the deconfinement temperature of SU(3) pure gauge theory on the topological q parameter, finding that, for small values of theta, it decreases linearly in theta^2. The problem is approached numerically using lattice simulations at imaginary theta, in order to avoid the sign problem present at real theta, then exploiting analytic continuation. The dependence is also studied analytically in the limit of a large number of colors N, based on a simple model for the dependence of the topological susceptibility on T: we find that the critical temperature decreases linearly with theta^2/N^2; model results are comparable with numerical results obtained for N = 3.
Theta-dependence of the deconfinement transition in Yang-Mills theories
D'ELIA, MASSIMO;
2012-01-01
Abstract
We investigate the dependence of the deconfinement temperature of SU(3) pure gauge theory on the topological q parameter, finding that, for small values of theta, it decreases linearly in theta^2. The problem is approached numerically using lattice simulations at imaginary theta, in order to avoid the sign problem present at real theta, then exploiting analytic continuation. The dependence is also studied analytically in the limit of a large number of colors N, based on a simple model for the dependence of the topological susceptibility on T: we find that the critical temperature decreases linearly with theta^2/N^2; model results are comparable with numerical results obtained for N = 3.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
