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well reproduced. The L$_{Q}$ are determined only to ∼ 0 . 5 fm accuracy, as this suffices for our purposes here. We show the comparison between approaches I and II for heavy quarks in Fig. 4.6 using L$_{c}$ = 4 . 5 and L$_{b}$ = 6 . 5 fm, and for gluons and light quarks in Fig. 4.7 using L$_{g}$ = 4 . 0 and L$_{u}$ = 5 . 0 fm; see Fig. 4.3 for a visual comparison of the input length distributions used. This hierarchy of Q -dependent length scales is in accord with that expected from Fig. 4.4. 

<img src='content_image/310021.jpg'>

