A two-dimensional (2D) assembly of noninteracting, temperature-dependent, compositeboson Cooper pairs (CPs) in chemical and thermal equilibrium with unpaired fermions is examined in a binary boson-fermion statistical model as the superconducting singularity temperature is approached from above. The model is derived from first principles for the BCS model interfermion interaction from three extr...

We argue that fermion-boson mapping techniques represent a natural tool for studying manybody supersymmetry in fermionic systems with pairing. In particular, using the generalized Dyson mapping of a many-level fermion superalgebra with the SU(2) type of pairing we investigate two kinds of supersymmetry connecting excitations in the systems with even and odd particle numbers: dynamical supersymm...

We reconsider the question of mass generation for fermions coupled to a set of gauge bosons (in particular, the electroweak gauge bosons) when the latter get their masses through the Goldstone bosons originating in a simple (i.e. not extended) technicolor sector. The fermion global chiral symmetries are broken by including four-fermion interactions. We find that the system can be nonperturbativ...