A vanishing theorem for operators in Fock space

Details A vanishing theorem for operators in Fock space A vanishing theorem for operators in Fock space

2011-07-22

arxiv.org/abs/1107.4577v1

Physics

Mathematical Physics

14 pages

Scientific paper

We consider the bosonic Fock space over the Hilbert space of transversal vector fields in three dimensions. This space carries a canonical representation of the group of rotations. For a certain class of operators in Fock space we show that rotation invariance implies the absence of terms which either create or annihilate only a single particle. We outline an application of this result in an operator theoretic renormalization analysis of Hamilton operators, which occur in non-relativistic qed.

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