# 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

### Toward an Infinite-Component Field Theory with a Double Symmetry: Interaction of Fields

- Mathematics, Physics
- 2002

We complete the first stage of constructing a theory of fields not investigated before; these fields transform according to Lorentz group representations decomposable into an infinite direct sum of…

### Mass spectra in the doubly symmetric theory of infinite-component fields

- Mathematics, Physics
- 2003

We consider the problem of the characteristics of mass spectra in the doubly symmetric theory of fields transforming under the proper Lorentz group representations decomposable into an infinite…

### SOME FIELD-THEORETICAL ASPECTS OF TWO TYPES OF THE POINCARÉ GROUP REPRESENTATIONS

- Mathematics
- 2014

The capabilities of some approaches to the relativistic description of hadronic states with any rest spin are analysed. The key feature in the Wigner's construction of irreducible representations of…

### Electromagnetic properties of non-Dirac particles with rest spin 1/2

- Physics
- 2010

We resolve a number of questions related to an analytic description of electromagnetic form factors of non-Dirac particles with the rest spin 1/2. We find the general structure of a matrix…

### Electroweak Interaction Model with an Undegenerate Double Symmetry

- Physics
- 2005

The initial P-invariance of the electroweak interaction Lagrangian together with the low-energy results of the Weinberg-Salam model is provided by a local secondary symmetry. Among the transformation…

### Electromagnetic form factors and polarizations of non-Dirac particles with rest spin 1/2

- Physics
- 2009

We consider one aspect of the theoretical foundations of polarization experiments on elastic scattering of electrons on protons yielding form factor ratios incompatible with those that are extracted…

### Nonanticommutative deformations of N=(1, 1) supersymmetric theories

- Mathematics
- 2005

We discuss chirality-preserving nilpotent deformations of the four-dimensional N=(1, 1) Euclidean harmonic superspace and their implications in N=(1, 1) supersymmetric gauge and hypermultiplet…

### Magnetic moment operator of non-Dirac particles and some elements of polarization $ep$-experiments

- Physics
- 2012

An explicit form of the magnetic moment tensor operator for non-Dirac particles with rest spin 1/2 and its essential difference from the spin operator are established. Possible consequences of the…

## 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…