arXiv subjects

L. M. Slad

Publications and source records attributed to L. M. Slad.

22 records · Page 2Linked to original sources

arXiv2003

Double Symmetry and Infinite-Component Field Theory

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.

hep-th↗

arXiv2002

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

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 finite-dimensional irreducible representations. We consider only those theories that initially have a double symmetry: relativistic invariance and the invariance under the transformations of a secondary symmetry generated by the polar or the axial four-vector representation of the orthochronous Lorentz group. The high symmetry of the theory results in an infinite degeneracy of the particle mass spectrum with respect to spin. To eliminate this degeneracy, we postulate a spontaneous secondary-symmetry breaking and then solve the problems on the existence and the structure of nontrivial interaction Lagrangians.

hep-th↗

arXiv2001

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

We begin a study of possibilities of describing hadrons in terms of monolocal fields which transform as proper Lorentz group representations decomposable into an infinite direct sum 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 representations considered and eliminating an infinite number of arbitrary constants allowed by the relativistic invariance of the Lagrangians.

hep-th↗

arXiv2000

Double Symmetries in Field Theories

In the paper a concept of a double symmetry is introduced, and its qualitative characteristics and rigorous definitions are given. We describe two ways to construct the double-symmetric field theories and present an example demonstrating the high efficiency of one of them. In noting the existing double-symmetric theories we draw attention at a dual status of the group $SU(2)_{L} \otimes SU(2)_{R}$ as a secondary symmetry group, and in this connexion we briefly discuss logically possible aspects of the $P$-violation in weak interactions.

hep-th↗