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We have been studying QCD with 2 flavours of colour-sextet quarks as acandidate walking-Technicolor theory using lattice-QCD simulations. Theevolution of the coupling constant with lattice spacing is measured at thefinite-temperature chiral transition to determine if this theory isasymptotically free and hence QCD-like. The lattice spacing is varied bychanging the number of lattice sites, $N_t$, in the Euclidean time direction.QCD with 3 flavours is studied for comparison. Since this theory is expected tobe conformal, with an infrared fixed point, the coupling constant at the chiraltransition should approach a non-zero value as $N_t$ becomes large. Our earliersimulations on lattices with $N_t=4$ and $N_t=6$ exhibited a significantdecrease in coupling at the chiral transition as $N_t$ was increased. We havenow extended these simulations to $N_t=8$, and performed additional simulationsat $N_t=6$ to measure the coupling constant at the chiral transition moreprecisely. These indicate that while there is an appreciable decrease incoupling between $N_t=6$ and $N_t=8$, this is much smaller than that between$N_t=4$ and $N_t=6$. Thus we are hopeful that we are approaching thelarge-$N_t$ limit. However, further simulations at larger $N_t$(s) are needed.

Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks II: N_t=6 and N_t=8