Scalar fields and dynamical torsion in Kaluza-Klein theories

Journal Article · Tue Jul 01 04:00:00 EDT 1986 · Theor. Math. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01028938· OSTI ID:6922061

Volovich, I V; Katanaev, M O

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 pseudovector 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.

• Research Organization: V.A. Steklov Mathematics Institute, Academy of Sciences
• OSTI ID: 6922061
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 66:1; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
KALUZA-KLEIN THEORY
MATHEMATICAL SPACE
MINKOWSKI SPACE
PARTICLE PROPERTIES
SCALAR FIELDS
SPACE
SPACE-TIME
THREE-DIMENSIONAL CALCULATIONS
TORSION
UNIFIED-FIELD THEORIES