Relativistic field equations from higher-order polarizations of the Poincaré group

Abstract

The theory of free relativistic fields is shown to arise in a unified manner from higher-order, configuration-space, irreducible representations of the Poincaré group. A de Sitter subalgebra, in the massive case, and a Poincaré subalgebra, in the massless case, of the enveloping algebra of the Poincaré group are the suitable higher-order polarizations. In particular, a simple group-theoretic derivation of the Dirac equation is given.

The paper has been reordered. LaTeX file, 15 pp. To appear in Rep. Math. Phys

References in corpus (3)

• Group Quantization on Configuration Space: Gauge Symmetries and Linear Fields
• The Electromagnetic and Proca Fields Revisited: a Unified Quantization
• Quantum Field Theory in a Symmetric Curved Space from a Second Quantization on a Group