Free fields for any spin in 1+2 dimensions | Zendy

D. R. Grigore | Zendy

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Free fields for any spin in 1+2 dimensions

Author(s) -

D. R. Grigore

Publication year - 1994

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.530676

Subject(s) - hilbert space , mathematics , axiom , free particle , pure mathematics , irreducible representation , free field , formalism (music) , fiber bundle , theoretical physics , algebra over a field , bundle , physics , quantum mechanics , geometry , art , musical , materials science , composite material , visual arts , quantum

We construct free fields of arbitrary spin in 1+2 dimensions i.e. free fieldsfor which the one-particle Hilbert space carries a projective isometricirreducible representation of the Poincar\'e group in 1+2 dimensions. Weanalyse in detail these representations in the fiber bundle formalism andafterwards we apply Weinberg procedure to construct the free fields. Somecomments concerning axiomatic field theory in 1+2 dimensions are also made.Comment: 33 pages, IFA-FT-394-1994, Apri

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