Figure 6
These figures show the behaviour of RG flow lines for the couplings \(g_r\) and \(g_i\) to study the conventional quantum BKT equations (Eqs. 7, 8, 9). The upper and lower panels are respectively for third order and second order RG study. We mark different regions of quantum phases by I, II, III and the separatrix by the red colour lines. The magenta colour line represent the fixed line. RG flow lines show different behaviour for the couplings \(g_r\) and \(g_i\) and also for the 2nd and 3rd order RG process.
