This article is cited in 9 papers

Toward an Infinite-Component Field Theory with a Double Symmetry: Free Fields

L. M. Slad

Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University

Abstract: We begin a study of possibilities of describing hadrons in terms of monolocal fields that transform under proper Lorentz group representations that are infinite direct sums of finite-dimensional irreducible representations. The additional requirement that the free-field Lagrangians be invariant under the secondary symmetry transformations generated by the polar or the axial four-vector representation of the orthochronous Lorentz group provides an effective mechanism for selecting the class of representations considered and eliminating an infinite number of arbitrary parameters allowed by the relativistic invariance of the Lagrangians.

Received: 14.11.2000

DOI: 10.4213/tmf520

 English version: Theoretical and Mathematical Physics, 2001, 129:1, 1369–1384

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