Two-Component Theory of Classical Proca Fields in Curved Spacetimes with Torsionless Affinities

8th International Workshop on Hadron Physics

Santos, S.I.^1 ; Cardoso, J.G.^2

Department of Physics, Centre for Technological Sciences-UDESC, Joinville, Santa Catarina

89223-100, Brazil^1

Department of Mathematics, Centre for Technological Sciences-UDESC, Brazil^2

关键词: Field equation;    Interaction coupling;    Two-component;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/706/5/052033/pdf
DOI  :  10.1088/1742-6596/706/5/052033

来源: IOP

【 摘 要 】

The world formulation of the full theory of classical Proca fields in generally relativistic spacetimes is reviewed. Subsequently the entire set of field equations is transcribed in a straightforward way into the framework of one of the Infeld-van der Waerden formalisms. Some well-known calculational techniques are then utilized for deriving the wave equations that control the propagation of the fields allowed for. It appears that no interaction couplings between such fields and electromagnetic curvatures are ultimately carried by the wave equations at issue. What results is, in effect, that the only interactions which occur in the theoretical context under consideration involve strictly Proca fields and wave functions for gravitons.