sorry, it wasn't very clear from my question.
I am using Jenter box, so I will have a certain number of queen cells which I will put in a builder hive (after they spend one day in a starter). I don't need them to make any more cells, just to care about these, for 10 days.
Asuming that the colony was strong and overcrowded with bees but not in swarming mood before I put queen cells there, will new, "externally produced", queen cells really cause them to swarm? If they swarm in that period (10 days, when queen cells are there) they won't be a strong hive anymore.
Sorry again, but I'm trying to understand what will be going on in my builder colony and what might be the consequences.