Free Fields for Any Spin in 1+2 Dimensions

Abstract

We construct free fields of arbitrary spin in 1+2 dimensions i.e. free fields for which the one-particle Hilbert space carries a projective isometric irreducible representation of the Poincaré group in 1+2 dimensions. We analyse in detail these representations in the fiber bundle formalism and afterwards we apply Weinberg procedure to construct the free fields. Some comments concerning axiomatic field theory in 1+2 dimensions are also made.

33 pages, IFA-FT-394-1994, April

References in corpus (1)

• The Projective Unitary Irreducible Representations of the Poincaré Group in 1+2 Dimensions

Cited by in corpus (5)

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• Higher derivative extensions of $3d$ Chern-Simons models: conservation laws and stability
• No-Go Theorem for ``Free'' Relativistic Anyons in d=2+1
• Extended Chern-Simons model for a vector multiplet
• Free Fields for Any Spin in Relativistic Quantum Mechanics