Quaternion gauge fields. Pseudocolor
    
    
  
  
  
      
      
      
        
Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 3, pp. 381-391
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			A simplified Gyunaydin–Gyursey model, in which a Majorana field constructed
using quaternions combines a lepton and a color quark, is considered.
Formulation of the gauge principle directly in the quaternions leads to the
appearance of two vector quaternion gauge fields, these corresponding to
the decomposition $SO(4)\simeq SO(3)\times SO(3)$ of the invariance group. The diagonal subgroup $SO(3)$ of automorphisms of the quaternions appears as a pseudocolor symmetry of the quarks, and the gauge fieldcorresponding to it as the field of three color gluons. The other gauge field corresponds to lepton-quark transitions and in the presence of spontaneous breaking of the $SO(4)$ gauge symmetry by the scalar quaternion field acquires a (large) finite mass.
			
            
            
            
          
        
      @article{TMF_1986_68_3_a5,
     author = {A. B. Govorkov},
     title = {Quaternion gauge fields. {Pseudocolor}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {381--391},
     publisher = {mathdoc},
     volume = {68},
     number = {3},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a5/}
}
                      
                      
                    A. B. Govorkov. Quaternion gauge fields. Pseudocolor. Teoretičeskaâ i matematičeskaâ fizika, Tome 68 (1986) no. 3, pp. 381-391. http://geodesic.mathdoc.fr/item/TMF_1986_68_3_a5/
