Gauge Model Generated by Non-P-even Functions
Leonid Maksimovich Slad · 2024
Is the standard gauge model [ 1-3 ] which has repeatedly been verified in experiment, the final version of electroweak interaction theory or is it a mere approximation to the future theory? This question is pertinent because the original non-equivalence of the left- and right-handed spinors (isospinors and isoscalars) in the standard model has no satisfactory explanation. This non-equivalence is an important problem of the Kaluza-Klein theories (see e.g. [ 4 ]). While settling some issues, the most popular schemes with the left-right symmetry [ 5 – 7 ] propose, in my opinion, some new question. In these schemes, the left- and right-handed soinors transform according to the equivalent representations of SU(2) L and SU(2) R , respectively; and the functions determining transformations of each group are independent. The latter is not compatible with the geometrical approach to the gauge theories. Besides, the weak-interaction Lagrangian, for example, https://www.w3.org/1999/xlink" xlink:href=" https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003580850/6547cd04-0b1f-4948-b2f4-c67f2028b35d/content/fig23_1.tif "/> while providing the P-invariance of the cross-sections of high-energy processes for equal constants g L = g R is not itself P-invariant because the condition https://www.w3.org/1998/Math/MathML" display="inline"> PW L μ ± = = W R μ ± https://www.w3.org/1999/xlink" xlink:href=" https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003580850/6547cd04-0b1f-4948-b2f4-c67f2028b35d/content/inline-math23_1.tif "/> not satisfied (even before the spontaneous symmetry breaking). Based on the setting and transformation properties of Higgs bosons proposed in [ 5-7 ], our approach to constructing an electroweak interaction model with the left-right symmetry leads to a P-invariant electroweak interaction up to spontaneous symmetry breaking. In the general case our model is not reduced to the schemes [ 5-7 ] which is briefly discussed in what follows.