SU(3) Lattice Gauge Theory With Adjoint Action At Nonzero Temperature

TL;DR

This paper investigates the phase diagram of SU(3) lattice gauge theory with adjoint action at finite temperature, refining transition line estimates and analyzing the behavior of deconfinement transitions across different lattice sizes.

Contribution

It provides improved estimates of the bulk and deconfinement transition lines and explores their behavior for various temporal lattice extents, confirming universality patterns.

Findings

Deconfinement transition lines shift to weaker coupling with increasing N_t.

Transition lines separate cleanly from bulk transitions for N_t > 4.

Results support the universality picture of lattice gauge theories.

Abstract

We study the thermal phase diagram of pure SU(3) gauge theory with fundamental and adjoint couplings. We improve previous estimates of the position of the bulk transition line and determine the thermal deconfinement transition lines for $N_t=2,4,6,$ and 8. For $N_t > 4$ the deconfinement transition line splits cleanly away from the bulk transition line. With increasing $N_t$ the thermal deconfinement transition lines shift to increasingly weaker coupling, joining onto the bulk transition line at increasingly larger $\beta_a$ in a pattern consistent with the usual universality picture of lattice gauge theories.