2 and 3 that a flux tube like structure emerges and from [Eq. (\[short\])]{} that it has the correct scaling as a function of the $Q{\bar Q}$ separation but, as discussed above it does not have a finite correlation length (large $x$ behavior).

The field distribution for the $QQQ$ system in the $f_L(p) =1 $ approximation is equal to the sum of three terms each representing a contribution from a $QQ$ pair. We place each of the three quarks in a corner of an equilateral triangle, $\z_i$, $i=1,\cdots3$ $$\begin{gathered}
\langle \E^2(\x,\R_i) \rangle = \frac{C_F}{32\pi^2}
\bigl[ (\D_1 - \D_2)^2 \\ 
+ (\D_1 - \D_3)^2 + (\D_2 - \D_3)^2 \bigr],\end{gathered}$$ where $$\D_i = {{ \z_j - \x + \r/2 } \over 
 { |\z_j - \x + \r/2| }} d'_L(\z_i - \x - \r/2).$$

The contour plot of of energy density in this case is shown in Fig. 4. Even though the field originates from the two-particle correlations the net field seems to form into a “Y”-shape structure. This structure has also recently been seen to emerge in Euclidean lattice simulations.

![\[fig3\] $R^2 \langle \E^2(x) \rangle$ as a function of position in the $xz$ plane. The units and the same setting as in 