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arXiv · hep-th/0312273

Double Symmetry and Infinite-Component Field Theory

L. M. Slad
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Abstract

Qualitative characteristics and the rigorous definition of a concept of the double symmetry is given. We use some double symmetry for constructing a theory of fields not investigated before which transform as the proper Lorentz group representations decomposable into infinite direct sums of finite-dimentional irreducible representations. All variants of the double-symmetric free Lagrangian of such fields are in brief described. The solution of the problem of changing Lagrangian mass terms due to a spontaneous breaking of the secondary symmetry is stated. The general properties of the mass spectra of fermions in the considered theory are given. It is pointed out a region of free parameters where the theoretical mass spectra qualitatively correspond to a picture typical for the parton model of hadrons.

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L. M. Slad. 2003-12-23. Double Symmetry and Infinite-Component Field Theory. https://arxiv.org/abs/hep-th/0312273

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