Use the suggestions that naraku gave you. The convention on Unix/Linux is to name the library files LibWHATEVER.a, and the corresponding linker option is -lWHATEVER.
@IWishIKnew
IIRC you use nuwen mingw, if that's correct you will probably run into more problems. Nuwen is only 64 bit now and the Qt libs are built 32 bit. Your options will probably be to either rebuild Qt with nuwen our boost with Qt creators built in mingw.
I added MinGW/Boost build as the compiler (and apparently you can only choose your "kit" on creating of the project, and can't change it after) and it still pulls the Qt libraries, so I can use Boost, Qt and MinGW.