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

TL;DR

This study investigates the running coupling in lattice QCD with 3 flavours of colour-sextet quarks at different lattice sizes to determine if the theory exhibits conformal behavior or QCD-like asymptotic freedom.

Contribution

Extended lattice simulations to larger N_t values to analyze the evolution of the coupling constant at the chiral transition in a candidate walking-Technicolor theory.

Findings

Coupling decreases with increasing N_t, but the decrease is smaller at larger N_t.

Results suggest approaching the large-N_t limit, indicating possible conformal behavior.

Further larger N_t simulations are needed for definitive conclusions.

Abstract

We have been studying QCD with 2 flavours of colour-sextet quarks as a candidate walking-Technicolor theory using lattice-QCD simulations. The evolution of the coupling constant with lattice spacing is measured at the finite-temperature chiral transition to determine if this theory is asymptotically free and hence QCD-like. The lattice spacing is varied by changing 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 to be conformal, with an infrared fixed point, the coupling constant at the chiral transition should approach a non-zero value as $N_t$ becomes large. Our earlier simulations on lattices with $N_t=4$ and $N_t=6$ exhibited a significant decrease in coupling at the chiral transition as $N_t$ was increased. We have now extended these simulations to $N_t=8$, and performed additional simulations at $N_t=6$ to measure the coupling constant at the chiral transition more precisely. These indicate that while there is an appreciable decrease in coupling 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 the large-$N_t$ limit. However, further simulations at larger $N_t$(s) are needed.