I shall call a theory of the functor "qua' a "qua-theory'. This functor is used in expressions like "A qua B is C'. Some synonymous expressions are "as', "insofar as', "in virtue of', "with respect to'.
Full citation [Harvard style]:
Poli, R. (1999)., Qua-theories, in L. Albertazzi (ed.), Shapes of forms, Dordrecht, Springer, pp. 245-256.
This document is unfortunately not available for download at the moment.