Composite boson dominance in many-fermion systems

Alagu Thilagam

B. Sørensen

F. Palumbo

We present a new method of bosonization of fermion systems applicable when the partition function is dominated by composite bosons. By restricting the partition function to such states, we obtain a Euclidean bosonic action from which we derive the Hamiltonian. Such a procedure respects all the fermion symmetries, particularly the fermion number conservation, and provides a boson mapping of all fermion operators.

C. B. Dover

F. PALUMBO

I recently proposed a method of bosonization valid for systems of an even number of fermions whose partition function is dominated at low energy by bosonic composites. This method respects all symmetries, in particular fermion number conservation. I extend it to treat odd systems and excitations involving unpaired fermions.

José M. Arias, María Isabel Gallardo, Manuel Lozano