Figure 4

These figures show behaviour of RG flow lines, \(g_i\) with K for four different initial values of \(g_r (0) (0.05, 0.1, 0.15, 0.2)\) for the 3rd order RG process. The upper and the lower panels are respectively for the lower and higher values of \(g_r (0)\). We mark different regions of quantum phases by I, II. The magenta colour line represents the fixed line. Region I and II are respectively the superfluid and TLL phase.