Dirac sea contribution in the relativistic random phase approximation

Abstract

In quantum hadrodynamics there are two methods to take account of the contribution of negative-energy states in the relativistic random phase approximation. Dawson and Furnstahl made the ansatz that the Dirac sea was empty, while according to the Dirac hole theory the sea should be fully occupied. The two methods seem contradictory. Their close relationship and compatibility are explored and in particular the question of the ground-state instability resulting from the Dawson–Furnstanhl ansatz is discussed.