On the Algebra of Ghost Fields

Abstract

We study in detail the algebra of free ghost fields which we realize in a Hilbert-Fock space with positive metric. The investigation of causality clarifies the exact reason for the failure of the spin-statistics theorem and leads to the introduction of the Krein Operator. We study the charge algebra of the ghost fields which gives a representation of $\mathrm{gl}(2,\mathcal{C})$. The symmetries of the $S$-matrix in ghost space are pointed out.

Plain TeX, 16 pages

Cited by in corpus (6)

• Non-Uniqueness of Quantized Yang-Mills Theories
• On the Uniqueness of the Non-Abelian Gauge Theories in Epstein-Glaser Approach to Renormalisation Theory
• Quantization of the Graviton Field, Characterization of the Physical Subspace and Unitarity in Causal Quantum Gravity
• Causal Quantum Gravity
• Lectures on BRS invariance for massive boson fields
• Finite Temperature QED: Non-Cancellation of Infrared Divergencies and Thermal Corrections to the Electron Magnetic Moment