  In this paper we establish a connection between the loop space homology of
the generalization of wedge defined by a simplicial complex K (so called
polyhedral product) and the homology of certain diagonal arrangements
associated with K. We illustrate these results by finding the presentations of
those loop homology algebras for certain K generalizing results of Panov-Ray,
Papadima-Suciu, Lemaire. Finally, we show that in the case when the functor is
applied to suspensions, this homology splitting comes from the stable homotopy
splitting of the loop spaces.
