Progress of Theoretical Physics · 1980 · 20 citations · 0 references
Natural SciencesPhysicsElectromagnetismQuantum MechanicsTheoretical PhysicsGauge InteractionsGauge TheoryGeneral RelativityGravitational FieldsQuantum Field TheorySpecial RelativityGauge ConnectionsGauge Field TheoryGauge PotentialsGauge TransformationsGauge/gravity Duality
An elementary introduction to the gauge field is given. We begin with the discussion of a parallel transportation in a euclidean space. A similar consideration is made about the electromagnetic interaction of an electron in the quantum mechanics. The results obtained in these cases are assembled in a form of the general gauge theory. The gravitational field is reformulated as a member of gauge fields. This final section is a revision of the present author's old paper of 1956.