Relational modal interpretation for relativistic quantum field theories

Abstract

The relational version of the modal interpretation offers both a consistent quantum ontology and solution for quantum paradoxes within the framework of nonrelativistic quantum mechanics. In the present paper this approach is generalized for the case of relativistic quantum field theories. Physical systems are defined as Hilbert spaces. The concept of the reduced density matrix is also generalized so that its trace may become smaller than one, expressing the possibility of annihilation. Superselection rules are shown to follow if the whole Universe has a definite electric charge, barionic number and leptonic number.