Non-Abelian Spinning Particle in an Einstein-Yang-Mills-Higgs Field
Silvestre Ragusa · 1988
Apply ing the method of moments of Papapetrou, the equat ions of 5 non-Abel ian charged spinning test part icle in an Einstein-Yang-Mi I1 s- Higgs f i eld are derived f rom covariant energy-momentum and charge con- servat ion. foi lowing the procedure f irst introduced by flathisson4. We general ize that paper's results by superimposing a gravitational field. We shall follow Papapetrou's method of moments of the energy-mome~tum tensor and of the current, uhich has been used 5 in the analysis of a .pele- d ipol e charged particle in an Einstein-Maxwell field. The problem of the gravitational motion of a Yang-Mills particle has been treated by Wospakrik 6 . However, subsidiary condi tions for the spin and for the non-Abelian dipole moment tensor were used in thederi- vation of the equations of motion and one is not sure if these equations are independent of the side condi tions. We general ize Wospakrik's paper by superimposing a Higgs field and derive the equations with nosubsidi- ary condi tions. We make use of the s ubsidiary c onditions only to simpl ify the resulting equations. The method will also yive the volume integral of the energy-mo- mentum tensor and of the current, and of their first moments.