At high temperature, the thermal agitation increases and coupling (g) decreases, this implies that the inverse gauge coupling \(\beta\) increases. From finite temperature lattice field theory we know that the \(a_\tau. N_\tau = 1/T\), which implies that with increases in temperature the lattice spacing decreases (for fixed \(N_\tau\)). Hence with increase in inverse gauge coupling \(\beta\), the temperature increases and lattice spacing decreases.