Scalar fields and dynamical torsion in Kaluza–Klein theories

It is shown that the generalization of Kaluza–Klein theories to take into account dynamical torsion makes it possible to obtain after reduction to four-dimensional space-time not only gauge fields interacting with the metric but also scalar fields with Lagrangian of Yang–Mills–Higgs type. It is shown that in four-dimensional space-time with Minkowski metric torsion is manifested as a universal pseudoveetor field irrespective of the Kaluza–Klein theories. Chiral interaction of fermions can be interpreted as interaction with a torsion field. The connection between torsion and anomalies is discussed. Torsion in three-dimensional space-time is also considered.