Quantum Field Theory on Fock Projective Space

TL;DR

This paper explores the extension of second quantization concepts within CP(N) theory, analyzing conditions under which geometrical bosons can be identified with physical fields, emphasizing the role of the state manifold's compactness in preventing divergences.

Contribution

It introduces a framework for second quantization in CP(N) theory and examines the conditions for geometrical bosons to correspond to real physical fields.

Findings

Second quantization analog exists in CP(N) theory.

Compact state manifold helps prevent divergences.

Conditions identified for geometrical bosons as physical fields.

Abstract

It is shown that some analog of the ``second quantization'' exists in the framework of CP(N) theory. I analyse conditions under that ``geometrical bosons'' may be identified with real physical fields. The compact character of a state manifold should preserve the quantities of dynamical variables from divergences.