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We continue the semiclassical analysis of the Loop Quantum Gravity (LQG)volume operator that was started in the companion paper [23]. In the firstpaper we prepared the technical tools, in particular the use of complexifiercoherent states that use squares of flux operators as the complexifier. In thispaper, the complexifier is chosen for the first time to involve squares of areaoperators.  Both cases use coherent states that depend on a graph. However, the basicdifference between the two choices of complexifier is that in the first casethe set of surfaces involved is discrete, while, in the second it iscontinuous. This raises the important question of whether the second set ofstates has improved invariance properties with respect to relative orientationof the chosen graph in the set of surfaces on which the complexifier depends.In this paper, we examine this question in detail, including a semiclassicalanalysis.  The main result is that we obtain the correct semiclassical properties of thevolume operator for i) artificial rescaling of the coherent state label; andii) particular orientations of the 4- and 6-valent graphs that have measurezero in the group SO(3). Since such requirements are not present when analysingdual cell complex states, we conclude that coherent states whose complexifiersare squares of area operators are not an appropriate tool with which to analysethe semiclassical properties of the volume operator. Moreover, if one intendsto go further and sample over graphs in order to obtain embedding independence,then the area complexifier coherent states should be ruled out altogether assemiclassical states.

Semiclassical analysis of the Loop Quantum Gravity volume operator: Area Coherent States