Free Fields for Any Spin in 1+2 Dimensions

Details Free Fields for Any Spin in 1+2 Dimensions Free Fields for Any Spin in 1+2 Dimensions

1994-04-06

arxiv.org/abs/hep-th/9404028v1

J.Math.Phys. 35 (1994) 6304-6331

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1063/1.530676

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 Poincar\'e 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.

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