arXiv subjects

Alex Jourjine

Publications and source records attributed to Alex Jourjine.

5 recordsLinked to original sources

arXiv2026

The Conformal Origin of the Lepton Flavor Mixing Matrix

Using the formalism of the flavor spin theory, we re-derive the TM1 lepton flavor mixing factor decomposition in a novel way, using a previously unreported near identity involving the elements of the first row of U_PMNS. The resulting mixing matrix is a direct consequence of the conformal symmetry of the massless SM before the EW phase transition. In addition to the previously reported results, we derive a relation between the CP violating phase and the three mixing angles. Application of the relation to the experimental data data suggests the TM1 decomposition should use (19/12)Pi as the value for the CP violating phase. With this assumption all four parameters of TM1 may be expressed in radicals, which might help in the separation of the classical values of the mixing parameters from their quantum corrections in the framework of the flavor spin theories. This in turn could help in clarification of the mass generation mechanism.

hep-ph↗

arXiv2019

The Quantum Theory of the Lorentzian Fermionic Differential Forms

We consider the quantum theory of the Lorentzian fermionic differential forms and the corresponding bi-spinor quantum fields, which are the expansion coefficients of the forms in the bi-spinor basis of Becher and Joos [7]. The canonical quantization procedure for the bi-spinor gauge theory in terms of its Dirac spinor constituents is described in detail and the corresponding Feynman rules are derived. We also derive all possible mass terms for massive fermions in the bi-spinor gauge theory. The solutions are classified by a scalar spin quantum number, a number that has no analog in the standard gauge theory and in the SM. The possible mass terms correspond to combinations of scalar spin zero singlets and scalar spin one-half doublets in the generation space. A description of the connection between Lorentz spin of bi-spinors and scalar spin of bi-spinor constituents is given.

hep-ph↗

arXiv2017

Extended Gauge Theory, Bi-Spinors, and Scalar Supersymmetry

Within the context of the extended bi-spinor gauge theory we describe a new off-shell realization of scalar supersymmetry (s-susy) of massless interacting fields with U(1), U(1) x SU(N) and U(1) x SU(N_1) x SU(N_2) gauge groups. S-susy acts in the space of graded differential forms. The realization is non-linear in the non-abelian case. S-susy would not require the doubling of the SM particle spectrum. Instead, essentially only the forth generation of quarks and leptons would be needed as extra field content. The theory is by construction globally U(2,2) invariant and is an example of a supersymmetric CFT.

hep-th↗

arXiv2013

Scalar Supersymmetry

We describe a new realization of supersymmetry, called scalar supersymmetry, acting in spaces of differential forms (bi-spinors), where transformation parameters are Lorentz scalars instead of spinors. The realization is related but is not reducible to the standard supersymmetry. Explicit construction of chiral multiplets that do not require doubling of the spectrum of a gauge theory is presented. A bi-spinor s-supersymmetric string action is described.

hep-ph↗

arXiv2013

Scalar Supersymmetry in Bi-Spinor Gauge Theory

We describe a new realization of both global and local supersymmetry acting in spaces of commuting and anticommuting differential forms. Unlike the standard supersymmetry, it has Lorentz scalar transformation parameters. It is related but is not reducible to standard supersymmetry. Reformulation of the Standard Model with the new supersymmetry, called scalar supersymmetry, can be achieved with the particle content of the SM. BRST symmetry is extended to include scalar supersymmetry multiplets. Linear realization of scalar supersymmetry with free fields or with fields interacting with background gravity is described. Gauge interactions require non-linear realizations of scalar supersymmetry and, except for SU(2), non-linear gauge-fixing conditions. Requiring scalar supersymmetry of interacting action with the simplest chiral multiplet can reduce the dynamical content of the theory to that of the SM: one complex scalar, gauge fields, and three generations of Weyl spinors. At low energies scalar supersymmetry is explicitly broken by gauge interactions. However, in the asymptotically free case it becomes exact in the ultraviolet limit. Thus it has the two most desirable features of softly broken standard supersymmetry built in. Implementation of exact scalar supersymmetry in an interacting string action is given.

hep-ph↗