Strong-coupling effective action(s) for SU(3) Yang-Mills

Understand

We apply strong-coupling expansion techniques to finite-temperature lattice pure gauge theory, obtaining dimensionally reduced $Z_N$-symmetric effective theories.

• The analytic mappings between the effective couplings and the original one, viz.
• $\beta$, allow to estimate the transition point $\beta_c$ of the 4D theory for a large range of the imaginary-time extent $N_\tau$ of the lattice.
• We study the models for SU(3) via Monte Carlo simulation, finding satisfactory agreement with the critical point of the original theories especially at low $N_\tau$.