Abstract
The low and higher energy limits of the Electroweak Model are obtained from first principles of gauge theory. Both limits are given by the same contraction of the gauge group, but for the different consistent rescalings of the field space. Mathematical contraction parameter in both cases is interpreted as energy. The very weak neutrino-matter interactions is explained by zero tending contraction parameter, which depend on neutrino energy. The second consistent rescaling corresponds to the higher energy limit of the Electroweak Model. At the infinite energy all particles lose masses, electroweak interactions become long-range and are mediated by the neutral currents. The limit model represents the development of the early Universe.
Highlights
The modern theory of electroweak processes is the Electroweak Model, which is in good agreement with experimental dates, including the latest ones from LHC
For the same contraction of the gauge group there is another consistent rescaling of the representation space, which lead to the infinite energy limit of the Electroweak Model
We have investigated the low and higher energy limits of the Electroweak Model which are obtained from first principles of gauge theory as contraction of its gauge group
Summary
The modern theory of electroweak processes is the Electroweak Model, which is in good agreement with experimental dates, including the latest ones from LHC This model is a gauge theory based on the gauge group SU(2) × U(1), which is the direct product of two simple groups. In this paper we discuss mostly at the level of classical gauge fields the modified Electroweak Model with the contracted gauge group SU(2; j) × U(1). It was shown [4]–[7] that at low energies the contraction parameter depends on the energy s in center-of-mass system, so the contracted gauge group corresponds to the zero energy limit of the Electroweak Model. In this paper we consider both possibilities and discuss some particle properties in early Universe, where similar higher energies can exist
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