Toward an Infinite-Component Field Theory with a Double Symmetry: Free Fields
@article{Slad2001TowardAI, title={Toward an Infinite-Component Field Theory with a Double Symmetry: Free Fields}, author={L. M. Slad}, journal={Theoretical and Mathematical Physics}, year={2001}, volume={129}, pages={1369-1384} }
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…
11 Citations
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References
SHOWING 1-5 OF 5 REFERENCES
A positive-energy relativistic wave equation. II
- PhysicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1972
The wave equation proposed in an earlier paper is examined from the point of view of the Heisenberg picture, for the purpose of getting a physical model. It is found that the position of the particle…
DOUBLE SYMMETRIES IN FIELD THEORIES
- Physics
- 2000
In this letter a concept of double symmetry is introduced, and its qualitative characteristics and rigorous definitions are given. We describe two ways of constructing the double-symmetric field…