Open AccessSpacetime and inner space of spinors in the theory of superalgebraic spinors
Author(s) -
В. В. Монахов
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1557/1/012031
Subject(s) - spinor , gamma matrices , mathematical physics , dirac operator , dirac (video compression format) , lorentz transformation , spacetime , dirac equation , lorentz covariance , dirac algebra , clifford algebra , dirac spinor , physics , theoretical physics , mathematics , algebra over a field , quantum mechanics , pure mathematics , neutrino
We constructed gamma operators which are superalgebraic analogs of the Dirac gamma matrices as well as two additional gamma operators which have no analogs in the Dirac theory. We found a new mechanism of the left-right symmetry breaking which is absent in the usual theory of Dirac spinors. We constructed Lorentz invariant gamma operators from operators of creation and annihilation of spinors. These gamma operators are also analogs of the Dirac gamma matrices, however they are not related to Lorentz transformations but generate vector fields as affine spinor connections. We have shown that the theory is equivalent to an extended version of the Pati-Salam theory.