But they are not an EU force and they are not under EU command.
You really have given yourself two tasks at odds with each here. On the one hand, you try to pooh-pooh the idea that there is a push for an EU Army. On the other hand, you are keen to emphasise Treaty definitions and current arangements that you claim amount to a Euro armed force already.
What is your stance? My guess is that you are one of those very touchy pro-EU people who want to stress the importance of the EU while simultaneously jibbing when people who do not share your enthusiasm point out that the EU is a project to create a country called Europe.
You seem to be getting confused between what an army is and what an organisation like NATO is
NATO has no standing army, it relies on contributions from its members. This is exactly what is happening in Afghanistan right now - EU member states are fighting in a combined fighting force
A standing army has a single command (usually the government of whichever country the army belongs to), whereas NATO (and ESDP) will have a joint command between those countries taking part. It will not be under the control of the Commission which is what the insinuation is when you, or whoever, refer to creating an "EU army". It implies that the EU will have a number of troops etc to command and send into battle wherever they decide, bypassing the wishes of the UK government. That will never happen and no county in the EU wants that to happen
ESDP is exactly the same as NATO, minus America. If you don't have a problem with NATO then the only possible reason for arguing against ESDP is purely political
My stance? I think providing a mechanism for solving problems that can only be dealt with by international cooperation are a good thing, that is why I support the EU. On this particular issue, as has been pointed out, when the EU failed to act to sort out a humanitarian crisis in their own backyard, thousands died. ESDP is specifically to provide assistance for UN peacekeeping operations. Currently, EU member states already have the forces, but they lack the mechanism that can bind them together for them to take on these missions successfully (this is what NATO has - planning and command structures).
If you can't understand any of this then sorry, but it really isn't all that complicated